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Essentials of Stochastic Processes
by Richard DurrettBuilding upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader's understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.
Essentials of Stochastic Processes
by Richard DurrettThis book is for a first course in stochastic processes taken by undergraduates or master's students who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and mathematical finance. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader's understanding The book has undergone a thorough revision since the first edition. There are many new examples and problems with solutions that use the TI-83 to eliminate the tedious details of solving linear equations by hand. Some material that was too advanced for the level has been eliminated while the treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved. For example, the difficult subject of martingales is delayed until its usefulness can be seen in the treatment of mathematical finance. Richard Durrett received his Ph. D. in Operations Research from Stanford in 1976. He taught at the UCLA math department for nine years and at Cornell for twenty-five before moving to Duke in 2010. He is the author of 8 books and almost 200 journal articles, and has supervised more that 40 Ph. D. students. Most of his current research concerns the applications of probability to biology: ecology, genetics, and most recently cancer.
Essentials of Stochastic Processes (Springer Texts in Statistics)
by Richard DurrettBuilding upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.
Essentials of Thematic Analysis (Essentials of Qualitative Methods)
by Gareth Terry Nikki HayfieldThe brief, practical texts in the Essentials of Qualitative Methods series introduce social science and psychology researchers to key approaches to qualitative methods, offering exciting opportunities to gather in-depth qualitative data and to develop rich and useful findings. In this book, Gareth Terry and Nikki Hayfield introduce readers to reflexive thematic analysis, a method of analyzing interview and focus group transcripts, qualitative survey responses, and other qualitative data. <p><p>Central to this method is the recognition that we are all situated in a particular context, and that we see and speak from that position. This leads researchers to produce knowledge that represents situated truths, providing insights into people's perspectives on a given topic. <p><P>About the Essentials of Qualitative Methods book series: <p>Even for experienced researchers, selecting and correctly applying the right method can be challenging. In this groundbreaking series, leading experts in qualitative methods provide clear, crisp, and comprehensive descriptions of their approach, including its methodological integrity, and its benefits and limitations. Each book includes numerous examples to enable readers to quickly and thoroughly grasp how to leverage these valuable methods.
Essentials of Topology with Applications (Textbooks in Mathematics)
by Steven G. KrantzBrings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
¡Essie! ¿Otra vez? / Again, Essie? (Storytelling Math)
by Jenny LacikaCelebrate diversity, math, and the power of storytelling! ¡Celebremos la diversidad, las matemáticas y el poder del cuento!Rafael wants to protect his toys from his little sister, Essie. Gathering materials from around the house, he builds a wall tall enough and wide enough to keep her out. But will it be strong enough? And what does Essie really want? A playful exploration of physical space and geometry, featuring Chicanx (Mexican American) characters and a glossary of Spanish words. Rafael quiere proteger sus juguetes de Essie, su hermanita. Para eso busca materiales en su casa para construir un muro que sea lo suficientemente alto y ancho como para que Essie no pase. ¿Pero ese muro será lo suficientemente fuerte? ¿Y qué quiere Essie realmente? Esta es una exploración divertida del espacio físico y de la geometría, la cual presenta personajes chicanos (mexicoamericanos) e incluye un glosario de palabras en español.Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them. Joyful stories and hands-on activities make it easy for kids and their grown-ups to explore everyday math together. Developed in collaboration with math experts at STEM education nonprofit TERC, under a grant from the Heising-Simons Foundation. Los libros de la serie Cuentos matemáticos celebran las aventuras diarias de niños que usan las matemáticas mientras juegan, construyen y descubren el mundo que los rodea. Historias divertidas y actividades prácticas facilitan que tanto los niños como los adultos exploren juntos las matemáticas de la vida diaria. Fue desarrollada junto a expertos en el currículum STEM, pertenecientes a TERC Inc., organización sin fines de lucro, bajo una subvención otorgada por Heising-Simons Foundation.
Estimands, Estimators and Sensitivity Analysis in Clinical Trials (Chapman & Hall/CRC Biostatistics Series)
by Bohdana Ratitch Craig Mallinckrodt Ilya Lipkovich Geert MolenberghsThe concepts of estimands, analyses (estimators), and sensitivity are interrelated. Therefore, great need exists for an integrated approach to these topics. This book acts as a practical guide to developing and implementing statistical analysis plans by explaining fundamental concepts using accessible language, providing technical details, real-world examples, and SAS and R code to implement analyses. The updated ICH guideline raises new analytic and cross-functional challenges for statisticians. Gaps between different communities have come to surface, such as between causal inference and clinical trialists, as well as among clinicians, statisticians, and regulators when it comes to communicating decision-making objectives, assumptions, and interpretations of evidence. This book lays out a path toward bridging some of these gaps. It offers A common language and unifying framework along with the technical details and practical guidance to help statisticians meet the challenges A thorough treatment of intercurrent events (ICEs), i.e., postrandomization events that confound interpretation of outcomes and five strategies for ICEs in ICH E9 (R1) Details on how estimands, integrated into a principled study development process, lay a foundation for coherent specification of trial design, conduct, and analysis needed to overcome the issues caused by ICEs: A perspective on the role of the intention-to-treat principle Examples and case studies from various areas Example code in SAS and R A connection with causal inference Implications and methods for analysis of longitudinal trials with missing data Together, the authors have offered the readers their ample expertise in clinical trial design and analysis, from an industrial and academic perspective.
Estimating Characteristics of the Foreign-Born by Legal Status
by Dean H. Judson David A. SwansonThis brief represents a comprehensive review of methods for estimating characteristics of the foreign-born population in the United States, specifically oriented toward characteristics by legal status. A variety of methods have been proffered over the past many decades, in a large variety of venues; this work brings them together, attempts to impart some order on the definition of "legal status," and describes strengths and deficiencies both in methods and in data. The authors have a combined 50 years of experience in both demographic and statistical methodology.
Estimating Functional Connectivity and Topology in Large-Scale Neuronal Assemblies: Statistical and Computational Methods (Springer Theses)
by Vito Paolo PastoreThis book describes a set of novel statistical algorithms designed to infer functional connectivity of large-scale neural assemblies. The algorithms are developed with the aim of maximizing computational accuracy and efficiency, while faithfully reconstructing both the inhibitory and excitatory functional links. The book reports on statistical methods to compute the most significant functional connectivity graph, and shows how to use graph theory to extract the topological features of the computed network. A particular feature is that the methods used and extended at the purpose of this work are reported in a fairly completed, yet concise manner, together with the necessary mathematical fundamentals and explanations to understand their application. Furthermore, all these methods have been embedded in the user-friendly open source software named SpiCoDyn, which is also introduced here. All in all, this book provides researchers and graduate students in bioengineering, neurophysiology and computer science, with a set of simplified and reduced models for studying functional connectivity in in silico biological neuronal networks, thus overcoming the complexity of brain circuits.
Estimating Impact
by Alexander Kott Gary CitrenbaumVirtually all human endeavors can be analyzed and modeled and understood through computer-aided study, and that is very much at the core of operations research, game theory, and decision science. Understanding the potential impact of any action is critical to the success of that action, and in ESTIMATING IMPACT Alexander Kott and Gary Citrenbaum, with a stellar group of contributors, demonstrate how military or humanitarian interventions (or the decision not to intervene) can be rigorously analyzed beforehand and their likely impacts and ramifications predicted at levels appropriate to their scope. A wide range of modeling programs are available that support plan assessment and impact forecast, and they allow accurate prediction within an interdependent set of political, military, economic, social, information, and infrastructure systems, and experts involved in the use and development of these tools demonstrate how, when, and why they should be used.
Estimating Presence and Abundance of Closed Populations (Statistics for Biology and Health)
by George A. Seber Matthew R. SchofieldThis comprehensive book covers a wide variety of methods for estimating the sizes and related parameters of closed populations. With the effect of climate change, and human territory invasion, we have seen huge species losses and a major biodiversity decline. Populations include plants, trees, various land and sea animals, and some human populations. With such a diversity of populations, an extensive variety of different methods are described with the collection of different types of data. For example, we have count data from plot sampling, which can also allow for incomplete detection. There is a large chapter on occupancy methods where a major interest is determining whether a particular species is present or not. Citizen and opportunistic survey data can also be incorporated. A related topic is species methods, where species richness and species' interactions are of interest. A variety of distance methods are discussed. One can use distances from points and lines, as well as nearest neighbor distances. The applications are extensive, and include marine, acoustic, and aerial surveys, using multiple observers or detection devices. Line intercept measurements have a role to play such as, for example, estimating parameters relating to plant coverage. An increasingly important class of removal methods considers successive “removals" from a population, with physical removal or "removal" by capture-recapture of marked individuals. With the change-in-ratio method, removals are taken from two or more classes, e.g., males and females. Effort data used for removals can also be used. A very important method for estimating abundance is the use of capture-recapture data collected discretely or continuously and can be analysed using both frequency and Bayesian methods. Computational aspects of fitting Bayesian models are described. A related topic of growing interest is the use of spatial and camera methods. With the plethora of models there has been a corresponding development of various computational methods and packages, which are often mentioned throughout. Covariate data is being used more frequently, which can reduce the number of unknown parameters by using logistic and loglinear models. An important computational aspect is that of model selection methods. The book provides a useful list of over 1400 references.
Estimation and Control of Dynamical Systems (Interdisciplinary Applied Mathematics #48)
by Alain BensoussanThis book provides a comprehensive presentation of classical and advanced topics in estimation and control of dynamical systems with an emphasis on stochastic control. Many aspects which are not easily found in a single text are provided, such as connections between control theory and mathematical finance, as well as differential games.The book is self-contained and prioritizes concepts rather than full rigor, targeting scientists who want to use control theory in their research in applied mathematics, engineering, economics, and management science. Examples and exercises are included throughout, which will be useful for PhD courses and graduate courses in general.Dr. Alain Bensoussan is Lars Magnus Ericsson Chair at UT Dallas and Director of the International Center for Decision and Risk Analysis which develops risk management research as it pertains to large-investment industrial projects that involve new technologies, applications and markets. He is also Chair Professor at City University Hong Kong.
Estimation and Control Problems for Stochastic Partial Differential Equations
by Pavel S. Knopov Olena N. DeriyevaFocusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields.
Estimation and Inference in Discrete Event Systems: A Model-Based Approach with Finite Automata (Communications and Control Engineering)
by Christoforos N. HadjicostisEstimation and Inference in Discrete Event Systems chooses a popular model for emerging automation systems—finite automata under partial observation—and focuses on a comprehensive study of the key problems of state estimation and event inference. The text includes treatment of current, delayed, and initial state estimation. Related applications for assessing and enforcing resiliency—fault detection and diagnosis—and security—privacy and opacity—properties are discussed, enabling the reader to apply these techniques in a variety of emerging applications, among them automated manufacturing processes, intelligent vehicle/highway systems, and autonomous vehicles. The book provides a systematic development of recursive algorithms for state estimation and event inference. The author also deals with the verification of pertinent properties such as:the ability to determine the exact state of a system, “detectability”;the ability to ensure that certain classes of faults can be detected/identified, “diagnosability”; andthe ability to ensure that certain internal state variables of the system remain “hidden” from the outside world regardless of the type of activity that is taking place, “opacity”. This book allows students, researchers and practicing engineers alike to grasp basic aspects of state estimation in discrete event systems, aspects like distributivity and probabilistic inference, quickly and without having to master the entire breadth of models that are available in the literature.
Estimation and Inferential Statistics
by Pradip Kumar Sahu Santi Ranjan Pal Ajit Kumar DasThis book focuses on the meaning of statistical inference and estimation. Statistical inference is concerned with the problems of estimation of population parameters and testing hypotheses. Primarily aimed at undergraduate and postgraduate students of statistics, the book is also useful to professionals and researchers in statistical, medical, social and other disciplines. It discusses current methodological techniques used in statistics and related interdisciplinary areas. Every concept is supported with relevant research examples to help readers to find the most suitable application. Statistical tools have been presented by using real-life examples, removing the "fear factor" usually associated with this complex subject. The book will help readers to discover diverse perspectives of statistical theory followed by relevant worked-out examples. Keeping in mind the needs of readers, as well as constantly changing scenarios, the material is presented in an easy-to-understand form.
Estimation and Testing Under Sparsity
by Sara van de GeerTaking the Lasso method as its starting point, this book describes the main ingredients needed to study general loss functions and sparsity-inducing regularizers. It also provides a semi-parametric approach to establishing confidence intervals and tests. Sparsity-inducing methods have proven to be very useful in the analysis of high-dimensional data. Examples include the Lasso and group Lasso methods, and the least squares method with other norm-penalties, such as the nuclear norm. The illustrations provided include generalized linear models, density estimation, matrix completion and sparse principal components. Each chapter ends with a problem section. The book can be used as a textbook for a graduate or PhD course.
Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences
by Maksym Luz Mikhail MoklyachukEstimation of Stochastic Processes is intended for researchers in the field of econometrics, financial mathematics, statistics or signal processing. This book gives a deep understanding of spectral theory and estimation techniques for stochastic processes with stationary increments. It focuses on the estimation of functionals of unobserved values for stochastic processes with stationary increments, including ARIMA processes, seasonal time series and a class of cointegrated sequences. Furthermore, this book presents solutions to extrapolation (forecast), interpolation (missed values estimation) and filtering (smoothing) problems based on observations with and without noise, in discrete and continuous time domains. Extending the classical approach applied when the spectral densities of the processes are known, the minimax method of estimation is developed for a case where the spectral information is incomplete and the relations that determine the least favorable spectral densities for the optimal estimations are found.
Estimator’s Pocket Book (Routledge Pocket Books)
by Duncan CartlidgeThe Estimator’s Pocket Book, Third Edition is a concise and practical reference covering the main approaches to pricing, as well as useful information such as how to process sub-contractor quotations, tender settlement and adjudication. It is fully up to date with the New Rules of Measurement (NRM2) (2nd Edition) throughout and based on up-to-date wage rates, legislative changes and guidance notes.The book includes instructions on how to carry out:· an NRM order of cost estimate,· unit-rate pricing for a range different trades,· pro rata pricing for variations, and· the preparation and pricing of builders’ quantities and approximate quantities.This book is an essential source of reference for quantity surveyors, cost managers, project managers and anybody else with estimating responsibilities.
Et al: Because not all research deserves a Nobel Prize
by B McGrawEt al. is a satirical academic journal that uses machine learning and scientific principles on absurd studies, from the cat Lord Whiskers' role in the extinction of the dodo bird to the quantum mysteries of untidy toddler rooms.Key FeaturesConducts satirical research on topics ranging from quantum computing to clingy robot dog algorithmsAnswers questions like “Can a computer understand a Scotsman?” and “Is Sarah Palin real?”Secures the power grid and your home from the prying eyes of government drones a.k.a. birdsExpands science by studying cow-based atmospheres, and the flavortown center of the brainSolves climate change and saves the world by proposing a banana-based fission reactorNullifies the possibility of getting lost at the fair with a mirror-house escape algorithmBook DescriptionTired of the same old math, science, statistics, and programming memes people post online and want something a little more elaborate? This is the book for you. Tremble as we make up all our own facts and data, hand-draw diagrams in MS Paint, and quote from fictional studies and journals. Cower as authors write in the first person because their study is just a little too personal for them. Recoil from the sheer mass of oversimplified methodology, distilling someone's entire thesis into a paragraph of jokes crude enough to make it into a Mike Myers movie. Over the last few years, we have taken arguments that you would normally have after four Jack and cokes at game night and turned them into properly formatted research papers with a writing tone serious enough to confuse the uninitiated. These papers are high-effort jokes by researchers and scientists for researchers and scientists. They cover a range of topics such as the consequences of re-releasing tourists back into Yellowstone National Park after COVID-19, how to play StarCraft competitively online on a quantum computer, and most importantly, how trees around the globe are becoming increasingly radicalized.What you will learnHow to draw a graph using MS Paint, maybeWhether Sarah Palin is a figment of your imaginationHow one pirate cat brought about the extinction of the beloved dodoWhy rabbits used to be jerks back in the dayIf you actually learn anything from these articles, get your memory erased immediatelyWho this book is forThis book is for researchers and those who love science mingled with humor. It's for those who are a little too tired of the talking heads and futurists of the science world and would like something more entertaining in the form of absurd speculative studies by researchers as unbelievable as their work. Anyone who has experienced academic writing, or the tribulations of any research institution will enjoy the wide range of bizarre, yet real-world topics compiled in this book. Even if you don't know much about the subject, we usually have a background section.
Étale Cohomology (Princeton Mathematical Series)
by James S. MilneAn authoritative introduction to the essential features of étale cohomologyA. Grothendieck&’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced étale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to étale cohomology, covering the essential features of the theory.Milne begins with a review of the basic properties of flat and étale morphisms and the algebraic fundamental group. He then turns to the basic theory of étale sheaves and elementary étale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in étale cohomology—those of base change, purity, Poincaré duality, and the Lefschetz trace formula—and applies these theorems to show the rationality of some very general L-series.
Ethical IT Innovation: A Value-Based System Design Approach
by Sarah SpiekermannExplaining how ubiquitous computing is rapidly changing our private and professional lives, Ethical IT Innovation: A Value-Based System Design Approach stands at the intersection of computer science, philosophy, and management and integrates theories and frameworks from all three domains.The book explores the latest thinking on computer ethics, inc
Ethics and Fairness in Medical Imaging: Second International Workshop on Fairness of AI in Medical Imaging, FAIMI 2024, and Third International Workshop on Ethical and Philosophical Issues in Medical Imaging, EPIMI 2024, Held in Conjunction with MICCAI 2024, Marrakesh, Morocco, October 6–10, 2024, Proceedings (Lecture Notes in Computer Science #15198)
by Esther Puyol-Antón Ghada Zamzmi Aasa Feragen Andrew P. King Veronika Cheplygina Melanie Ganz-Benjaminsen Enzo Ferrante Ben Glocker Eike Petersen John S. H. Baxter Islem Rekik Roy EaglesonThis book constitutes the refereed proceedings of the Second International Workshop, FAIMI 2024, and the Third International Workshop, EPIMI 2024, held in conjunction with MICCAI 2024, Marrakesh, Morocco, in October 2024. The 17 full papers presented in this book were carefully reviewed and selected from 21 submissions. FAIMI aimed to raise awareness about potential fairness issues in machine learning within the context of biomedical image analysis. The instance of EPIMI concentrates on topics surrounding open science, taking a critical lens on the subject.
Ethics and Mathematics Education: The Good, the Bad and the Ugly (Advances in Mathematics Education)
by Paul ErnestThis edited volume is an inquiry into the ethics of mathematics education, and to a lesser extent, the ethics of mathematics. The imposition of mathematics for all raises questions of ethics. What are the ethics of teaching school mathematics? What are the costs as well as the benefits? What are the ethical issues raised by the official aims of mathematics teaching, the planned curriculum, the pedagogies employed in school and college mathematics and the assessment systems? These questions are addressed in the book as well as what systems of ethics we might use. The volume ventures into a burgeoning new field. It offers a unique set of investigations, both theoretical and in terms of practices. It announces the ethics of mathematics education as a new subfield of research and includes valuable contributions from many of the best-known researchers in mathematics education; additionally, it is a valuable resource for students, teachers and researchers in the field. This is an enduring and classic source book in the field. From the wisdom of leading scholars to the little heard voices of students, this collection offers the reader many striking new insights into the ethics of mathematics and education.
Ethics for People Who Work in Tech
by Marc SteenThis book is for people who work in the tech industry—computer and data scientists, software developers and engineers, designers, and people in business, marketing or management roles. It is also for people who are involved in the procurement and deployment of advanced applications, algorithms, and AI systems, and in policy making. Together, they create the digital products, services, and systems that shape our societies and daily lives. The book’s aim is to empower people to take responsibility, to ‘upgrade’ their skills for ethical reflection, inquiry, and deliberation. It introduces ethics in an accessible manner with practical examples, outlines of different ethical traditions, and practice-oriented methods. Additional online resources are available at: ethicsforpeoplewhoworkintech.com.
Ethics in Econometrics: A Guide to Research Practice
by Philip Hans FransesApplied econometrics uses the tools of theoretical econometrics and real-word data to develop predictive models and assess economic theories. Due to the complex nature of such analysis, various assumptions are often not understood by those people who rely on it. The danger of this is that economic policies can be assessed favourably to suit a particular political agenda and forecasts can be generated to match the needs of a particular customer. Ethics in Econometrics argues that econometricians need to be aware of potential ethical pitfalls when carrying out their analysis and that they need to be encouraged to avoid them. Using a range of empirical examples and detailed discussions of real cases, this book provides a guide for research practices in econometrics, illustrating why it is imperative that econometricians act ethically in terms of the way they conduct their analysis and treat their data.