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Computer Intensive Methods in Statistics

by Silvelyn Zwanzig Behrang Mahjani

This textbook gives an overview of statistical methods that have been developed during the last years due to increasing computer use, including random number generators, Monte Carlo methods, Markov Chain Monte Carlo (MCMC) methods, Bootstrap, EM algorithms, SIMEX, variable selection, density estimators, kernel estimators, orthogonal and local polynomial estimators, wavelet estimators, splines, and model assessment. Computer Intensive Methods in Statistics is written for students at graduate level, but can also be used by practitioners. Features Presents the main ideas of computer-intensive statistical methods Gives the algorithms for all the methods Uses various plots and illustrations for explaining the main ideas Features the theoretical backgrounds of the main methods. Includes R codes for the methods and examples Silvelyn Zwanzig is an Associate Professor for Mathematical Statistics at Uppsala University. She studied Mathematics at the Humboldt- University in Berlin. Before coming to Sweden, she was Assistant Professor at the University of Hamburg in Germany. She received her Ph.D. in Mathematics at the Academy of Sciences of the GDR. Since 1991, she has taught Statistics for undergraduate and graduate students. Her research interests have moved from theoretical statistics to computer intensive statistics. Behrang Mahjani is a postdoctoral fellow with a Ph.D. in Scientific Computing with a focus on Computational Statistics, from Uppsala University, Sweden. He joined the Seaver Autism Center for Research and Treatment at the Icahn School of Medicine at Mount Sinai, New York, in September 2017 and was formerly a postdoctoral fellow at the Karolinska Institutet, Stockholm, Sweden. His research is focused on solving large-scale problems through statistical and computational methods.

Computer Intensive Methods in Statistics

by Silvelyn Zwanzig Behrang Mahjani

This textbook gives an overview of statistical methods that have been developed during the last years due to increasing computer use, including random number generators, Monte Carlo methods, Markov Chain Monte Carlo (MCMC) methods, Bootstrap, EM algorithms, SIMEX, variable selection, density estimators, kernel estimators, orthogonal and local polynomial estimators, wavelet estimators, splines, and model assessment. Computer Intensive Methods in Statistics is written for students at graduate level, but can also be used by practitioners. Features Presents the main ideas of computer-intensive statistical methods Gives the algorithms for all the methods Uses various plots and illustrations for explaining the main ideas Features the theoretical backgrounds of the main methods. Includes R codes for the methods and examples Silvelyn Zwanzig is an Associate Professor for Mathematical Statistics at Uppsala University. She studied Mathematics at the Humboldt- University in Berlin. Before coming to Sweden, she was Assistant Professor at the University of Hamburg in Germany. She received her Ph.D. in Mathematics at the Academy of Sciences of the GDR. Since 1991, she has taught Statistics for undergraduate and graduate students. Her research interests have moved from theoretical statistics to computer intensive statistics. Behrang Mahjani is a postdoctoral fellow with a Ph.D. in Scientific Computing with a focus on Computational Statistics, from Uppsala University, Sweden. He joined the Seaver Autism Center for Research and Treatment at the Icahn School of Medicine at Mount Sinai, New York, in September 2017 and was formerly a postdoctoral fellow at the Karolinska Institutet, Stockholm, Sweden. His research is focused on solving large-scale problems through statistical and computational methods.

Insurance Economics (Springer Texts in Business and Economics)

by Peter Zweifel Roland Eisen

"Winner of the 2014 Kulp-Wright Book Award Presented by the American Risk and Insurance Association".More information can be found here:http://www.aria.org/awards/bookawards.htm Insurance Economics brings together the economic analysis of decision making under risk, risk management and demand for insurance by individuals and corporations, objectives pursued and management tools used by insurance companies, the regulation of insurance, and the division of labor between private and social insurance. Appropriete both for advanced undergraduate and graduate students of economics, management, and finance, this text provides the background required to understand current research. Predictions derived from theoretical argument are not only stated but confronted with empirical evidence. Throughout the book, conclusions summarize results, helping readers to check their knowledge and understanding. Issues discussed include paradoxa in decision making under risk, selection of favorable risks by insurers, the possibility of a "death spiral" in insurance markets, and future challenges such as re-regulation in the wake of the 2007-09 financial crisis and the increasing availability of generic information.

Insurance Economics (Classroom Companion: Economics)

by Peter Zweifel Roland Eisen David L. Eckles

Insurance Economics brings together the economic analysis of decision making under risk, risk management and demand for insurance among individuals and corporations, objectives pursued and management tools used by insurance companies, the regulation of insurance, and the division of labor between private and social insurance.Appropriate both for advanced undergraduate and graduate students of economics, management, and finance, this text provides the background required to understand current research. Predictions derived from theoretical arguments are not merely stated, but also related to empirical evidence. Throughout the book, conclusions summarize key results, helping readers to check their knowledge and comprehension. Issues discussed include paradoxes in decision making under risk and attempts at their resolution, moral hazard and adverse selection including the possibility of a “death spiral”, and future challenges to both private and social insurance such as globalization and the availability of genetic information. This second edition has been extensively revised. Most importantly, substantial content has been added to represent the evolution of risk-related research. A new chapter, Insurance Demand II: Nontraditional Approaches, provides a timely addition in view of recent developments in risk theory and insurance. Previous discussions of Enterprise Risk Management, long-term care insurance, adverse selection, and moral hazard have all been updated. In an effort to expand the global reach of the text, evidence and research from the U.S. and China have also been added.

A Technical Guide to Mathematical Finance (Chapman and Hall/CRC Financial Mathematics Series)

by Derek Zweig

A Technical Guide to Mathematical Finance covers those foundational mathematical topics most important to an aspiring or professional quant. The text goes beyond a simple recitation of methods and aims to impart a genuine understanding of the fundamental concepts underpinning most of the techniques and tools routinely used by those working in quantitative finance.Features Suitable for professional quants and graduate students in finance, and mathematical/quantitative finance “Concept Refreshers” used throughout to provide pithy summaries of complex topics Step-by-step detail for formal proofs and mathematical descriptions

A Technical Guide to Mathematical Finance (Chapman and Hall/CRC Financial Mathematics Series)

by Derek Zweig

A Technical Guide to Mathematical Finance covers those foundational mathematical topics most important to an aspiring or professional quant. The text goes beyond a simple recitation of methods and aims to impart a genuine understanding of the fundamental concepts underpinning most of the techniques and tools routinely used by those working in quantitative finance.Features Suitable for professional quants and graduate students in finance, and mathematical/quantitative finance “Concept Refreshers” used throughout to provide pithy summaries of complex topics Step-by-step detail for formal proofs and mathematical descriptions

Proceedings of the Fourth International Congress on Mathematical Education

by M. Zweng Green Kilpatrick Pollack Suydam

Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, "Mathematics Improves the Mind". There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities.

Discrete Choice Experiments in Marketing: Use of Priors in Efficient Choice Designs and Their Application to Individual Preference Measurement (Contributions to Management Science)

by Klaus Zwerina

The chapter starts with a positioning of this dissertation in the marketing discipline. It then provides a comparison of the two most popular methods for studying consumer preferences/choices, namely conjoint analysis and discrete choice experiments. Chapter 1 continues with a description of the context of discrete choice experiments. Subsequently, the research problems and the objectives ofthis dissertation are discussed. The chapter concludes with an outline of the organization of this dissertation. 1. 1 Positioning of the Dissertation During this century, increasing globalization and technological progress has forced companies to undergo rapid and dramatic changes-for some a threat, for others it offers new opportunities. Companies have to survive in a Darwinian marketplace where the principle of natural selection applies. Marketplace success goes to those companies that are able to produce marketable value, Le. , products and services that others are willing to purchase (Kotler 1997). Every company must be engaged in new-product development to create the new products customers want because competitors will do their best to supply them. Besides offering competitive advantages, new products usually lead to sales growth and stability. As household incomes increase and consumers become more selective, fmns need to know how consumers respond to different features and appeals. Successful products and services begin with a thorough understanding of consumer needs and wants. Stated otherwise, companies need to know about consumer preferences to manufacture tailor-made products, consumers are willing to buy.

Gleichwertigkeit von Termen: Entwicklung und Beforschung eines diagnosegeleiteten Lehr-Lernarrangements im Mathematikunterricht der 8. Klasse (Dortmunder Beiträge zur Entwicklung und Erforschung des Mathematikunterrichts)

by Larissa Zwetzschler

Larissa Zwetzschler geht der Frage nach, wie die in der Forschung häufig beschriebenen Verstehensschwierigkeiten von algebraischen Termen und Termumformungen überwunden werden können und wie der Aufbau von tragfähigen inhaltlichen Vorstellungen zur Gleichwertigkeit von Termen unterstützt werden kann. Die Autorin hat einen Prototyp eines Lehr-Lernarrangements entwickelt und unterschiedliche Entwicklungslinien beim Vorstellungsaufbau herausgearbeitet.

Elements and Relations: Aspects of a Scientific Metaphysics (IFSR International Series in Systems Science and Systems Engineering #35)

by Martin Zwick

This book develops the core proposition that systems theory is an attempt to construct an “exact and scientific metaphysics,” a system of general ideas central to science that can be expressed mathematically. Collectively, these ideas would constitute a nonreductionist “theory of everything” unlike what is being sought in physics. Inherently transdisciplinary, systems theory offers ideas and methods that are relevant to all of the sciences and also to professional fields such as systems engineering, public policy, business, and social work. To demonstrate the generality and importance of the systems project, the book structures its content in three parts: Essay, Notes, and Commentary. The Essay section is a short distillation of systems ideas that illuminate the problems that many types of systems face. Commentary explains systems thinking, its value, and its relation to mainstream scientific knowledge. It shows how systems ideas revise our understanding of science and how they impact our views on religion, politics, and history. Finally, Notes contains all the mathematics in the book, as well as scientific, philosophical, and poetic content that is accessible to readers without a strong mathematical background. Elements and Relations is intended for researchers and students in the systems (complexity) field as well as related fields of social science modeling, systems biology and ecology, and cognitive science. It can be used as a textbook in systems courses at the undergraduate or graduate level and for STEM education. As much of the book does not require a background in mathematics, it is also suitable for general readers in the natural and social sciences as well as in the humanities, especially philosophy.

Semialgebraic Statistics and Latent Tree Models

by Piotr Zwiernik

Semialgebraic Statistics and Latent Tree Models explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree models.The first part of the book gives a general introduction to key concepts in algebraic statistics, focusing on methods that a

CRC Standard Mathematical Tables and Formulas (Advances in Applied Mathematics)

by Daniel Zwillinger

Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not available online. This edition also incorporates important topics such as max plus algebra, financial options, pseudospectra, and proof methods. Newly updated topics reflecting new results include couple analogues, radar, and significant equations of mathematics. New features of the 33rd edition include: Larger trim size, five new topics, and topics which have been modified to update results Provides practical, ready-to-use information and covers important topics that are unfamiliar to many readers, such as visual proofs and sequences Includes hard-to-find and more complete information than found in the Internet such as table of conformal mappings and integral tables Adds descriptions of new functions: Lambert, prolate spheroidal, and Weierstrass Even though the book has been updated it retains the same successful format of previous editions in that material is still presented in a multi-sectional format.

Quantile Regression in Clinical Research: Complete analysis for data at a loss of homogeneity

by Aeilko H. Zwinderman Ton J. Cleophas

Quantile regression is an approach to data at a loss of homogeneity, for example (1) data with outliers, (2) skewed data like corona - deaths data, (3) data with inconstant variability, (4) big data. In clinical research many examples can be given like circadian phenomena, and diseases where spreading may be dependent on subsets with frailty, low weight, low hygiene, and many forms of lack of healthiness. Stratified analyses is the laborious and rather explorative way of analysis, but quantile analysis is a more fruitful, faster and completer alternative for the purpose. Considering all of this, we are on the verge of a revolution in data analysis. The current edition is the first textbook and tutorial of quantile regressions for medical and healthcare students as well as recollection/update bench, and help desk for professionals. Each chapter can be studied as a standalone and covers one of the many fields in the fast growing world of quantile regressions. Step by step analyses of over 20 data files stored at extras.springer.com are included for self-assessment. We should add that the authors are well qualified in their field. Professor Zwinderman is past-president of the International Society of Biostatistics (2012-2015) and Professor Cleophas is past-president of the American College of Angiology(2000-2002). From their expertise they should be able to make adequate selections of modern quantile regression methods for the benefit of physicians, students, and investigators.

Integrales Singulieres (Lecture Notes in Mathematics #204)

by A. Zygmund

Contributions to Fourier Analysis. (AM-25) (PDF)

by Antoni Zygmund W. Transue

The description for this book, Contributions to Fourier Analysis. (AM-25), will be forthcoming.

IT Crisisology Models: Object-Based Optimization for Sustainable Development (Smart Innovation, Systems and Technologies #381)

by Sergey V. Zykov

The book focuses on modeling real-world crisis management in digital product development. This includes models and methods for forecasting, responding, and agile engineering/managing for sustainable product development. This book suggests an approach that contains principles, formal models, and semi-formal practice-oriented methods, patterns and techniques to efficiently manage these crises and provide sustainable development. The book also introduces a set of principles, models, and methods for sustainable management as a blend, the components of which have been carefully selected from a few domains adjacent to digital production such as IT-intensive operation, human resource management, and knowledge engineering, to name a few. The key ingredients of this crisis management framework include smart data modeling, trade-off optimizing, agile product controlling, and knowledge transferring.

Principles of Data Mining and Knowledge Discovery: Third European Conference, PKDD'99 Prague, Czech Republic, September 15-18, 1999 Proceedings (Lecture Notes in Computer Science #1704)

by Jan Zytkow Jan Rauch

This book constitutes the refereed proceedings of the Third European Conference on Principles and Practice of Knowledge Discovery in Databases, PKDD'99, held in Prague, Czech Republic in September 1999.The 28 revised full papers and 48 poster presentations were carefully reviewed and selected from 106 full papers submitted. The papers are organized in topical sections on time series, applications, taxonomies and partitions, logic methods, distributed and multirelational databases, text mining and feature selection, rules and induction, and interesting and unusual issues.

2021-2022 MATRIX Annals (MATRIX Book Series #5)


MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-2 weeks in duration. This book is a scientific record of the 24 programs held at MATRIX in 2021-2022, including tandem workshops with Mathematisches Forschungsinstitut Oberwolfach (MFO), with Research Institute for Mathematical Sciences Kyoto University (RIMS), and with Sydney Mathematical Research Institute (SMRI).

40 Years of Research on Rent Seeking 1: Theory of Rent Seeking


The last survey of the rent-seeking literature took place more than a decade ago. Since that time a great deal of new research has been published in a wide variety of journals, covering a wide variety of topics. The scope of that research is such that very few researchers will be familiar with more than a small part of contemporary research, and very few libraries will be able to provide access to the full breadth of that research. This two-volume collection provides an extensive overview of 40 years of rent-seeking research. The volumes include the foundational papers, many of which have not been in print for two decades. They include recent game-theoretic analyses of rent-seeking contests and also appHcations of the rent-seeking concepts and methodology to economic regulation, international trade policy, economic history, poUtical com­ petition, and other social phenomena. The new collection is more than twice as large as any previous collection and both updates and extends the earlier surveys. Volume I contains previously published research on the theory of rent-seeking contests, which is an important strand of contemporary game theory. Volume II contains previously pubHshed research that uses the theory of rent-seeking to an­ alyze a broad range of public policy and social science topics. The editors spent more than a year assembling possible papers and, although the selections fill two large volumes, many more papers could have been included.

40 Years of Research on Rent Seeking 2: Applications: Rent Seeking in Practice


The last survey of the rent-seeking literature took place more than a decade ago. Since that time a great deal of new research has been published in a wide variety of journals, covering a wide variety of topics. The scope of that research is such that very few researchers will be familiar with more than a small part of contemporary research, and very few libraries will be able to provide access to the full breadth of that research. This two-volume collection provides an extensive overview of 40 years of rent-seeking research. The volumes include the foundational papers, many of which have not been in print for two decades. They include recent game-theoretic analyses of rent-seeking contests and also appUcations of the rent-seeking concepts and methodology to economic regulation, international trade policy, economic history, poUtical com­ petition, and other social phenomena. The new collection is more than twice as large as any previous collection and both updates and extends the earUer surveys. Volume I contains previously pubhshed research on the theory of rent-seeking contests, which is an important strand of contemporary game theory. Volume II contains previously published research that uses the theory of rent-seeking to an­ alyze a broad range of public policy and social science topics. The editors spent more than a year assembling possible papers and, although the selections fill two large volumes, many more papers could have been included.

50 Jahre Bundeswettbewerb Mathematik: Die schönsten Aufgaben


Dieses Buch wird alle Liebhaber der Mathematik (und die es werden wollen) durch eine Fülle von reizvollen und unterhaltsamen Problemstellungen aus Algebra, Geometrie, Kombinatorik und Zahlentheorie begeistern. Vierzig ausgewählte Aufgaben aus 50 Jahren Bundeswettbewerb Mathematik werden mit ausführlichen Lösungen, Einblicken in das mathematische Umfeld und inhaltlichen Variationen reich illustriert präsentiert. Von der Mathematik geht für viele seit jeher eine besondere Faszination aus. Wer tiefer in sie eindringt, entdeckt ihre Schönheit, ihre Eleganz und ihre unendliche Vielfalt und stößt immer wieder auf überraschende Resultate. Hiermit bereits bei Schülerinnen und Schülern Interesse zu wecken, ist eines der Anliegen des Bundeswettbewerbs Mathematik. Mit seinen außergewöhnlichen Aufgaben regt er seit nunmehr einem halben Jahrhundert Jugendliche an, sich intensiv mit elementarer Mathematik auf höherem Niveau zu beschäftigen und Erfahrungen im Problemlösen zu sammeln.Anhand von ausgewählten und besonders ansprechenden Problemstellungen dokumentiert dieses Buch deren Reiz und beleuchtet ihren jeweiligen mathematischen Hintergrund. Darüber hinaus sind alle Aufgaben, die seit dem ersten Lauf des Bundeswettbewerbs Mathematik im Schuljahr 1970/71 gestellt worden sind, vollständig enthalten.

77-mal Mathematik für zwischendurch: Unterhaltsame Kuriositäten und unorthodoxe Anwendungen


Dieses Buch bietet bunt gemischte Beiträge aus Algebra und Logik, Analysis, Geometrie, Zahlentheorie, Stochastik und vielem mehr. Die Artikel sind voneinander unabhängig und können in beliebiger Reihenfolge gelesen werden. Das Buch wendet sich an alle, die sich gerne von unterhaltsamen Kuriositäten und oft unorthodoxen Anwendungen der Mathematik überraschen lassen wollen, insbesondere auch an interessierte SchülerInnen und LehrerInnen. Die einzelnen Beiträge sind sogenannte ,,Mathe-Briefe'', die zwischen 2010 und 2020 von mehr als einem Dutzend österreichischer MathematikerInnen verfasst wurden. Die einzelnen Briefe umfassen meist wenige Seiten und entstanden auf Initiative und unter Betreuung von em. Prof. Gilbert Helmberg (Universität Innsbruck, 1928–2019); sie wurden auf der Webseite der Österreichischen Mathematischen Gesellschaft (ÖMG) veröffentlicht. Der Herausgeber: Georg Glaeser hat die Briefe in Buchform zusammengefasst und als Editor fungiert. Er ist Professor für Geometrie an der Universität für angewandte Kunst Wien und selbst Autor und Koautor einer Reihe von Büchern über Mathematik, Geometrie, Fotografie und Evolutionsbiologie.

A.P. Morse’s Set Theory and Analysis


This volume explores A.P. Morse’s (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse’s works in this compilation, including Morse's book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse’s publications, Web Derivatives, and notes for a course on analysis from the early 1950's. Because Morse provided very little in the way of explanation in his written works, the editor’s commentary serves to outline Morse’s goals, give informal explanations of Morse’s formal language, and compare Morse’s often unique approaches to more traditional approaches. Minor corrections to Morse’s previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor’s introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse’s methods.A.P. Morse’s Set Theory and Analysis will appeal to graduate students and researchers interested in set theory and analysis who also have an interest in logic. Readers with a particular interest in Morse’s unique perspective and in the history of mathematics will also find this book to be of interest.

The Abel Prize 2018-2022 (The Abel Prize)


The book presents the winners of the Abel Prize in mathematics for the period 2018–2022: - Robert P. Langlands (2018) - Karen K. Uhlenbeck (2019) - Hillel Furstenberg and Gregory Margulis (2020) - Lászlo Lóvász and Avi Wigderson (2021) - Dennis P. Sullivan (2022) The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos from the period 2018–2022 showing many of the additional activities connected with the Abel Prize. This book follows on The Abel Prize: 2003–2007. The First Five Years (Springer, 2010) and The Abel Prize 2008–2012 (Springer, 2014) as well as on The Abel Prize 2013–2017 (Springer, 2019), which profile the previous Abel Prize laureates.

Act-Based Conceptions of Propositional Content: Contemporary and Historical Perspectives


The notion of a propositional content plays a central role in contemporary philosophy of language. Propositional content makes up both the meaning of sentences and the content of propositional attitudes such as belief. One particular view about propositional content has been dominant in analytic philosophy, namely the Fregean conception of propositions as abstract mind-independent objects that come with truth conditions. But propositions in this sense raise a range of issues, which have become a center of debate in current philosophy of language. In particular, how should propositions as abstract objects be understood and how can they represent things and be true or false? A number of philosophers in contemporary analytic philosophy as well as in early analytic philosophy and phenomenology have approached the notion of a propositional content in a different way, not by starting out with an abstract truth berarer, but by focusing on cognitive acts of agents, such as acts of judging. It is in terms of such acts that the notion of a propositional content, on their view, should be understood. The act-based perspective historically goes back to the work of Central European philosophers, in particular that of Husserl, Twardowski, Meinong, and Reinach. However, their work has been unduly neglected and is in fact largely inaccessible to contemporary analytic philosophers. The volume presents a central selection of work of these philosophers that bear on an act-based conception of philosophical content, some of which in new translations (one paper by Reinach), some of which published in English for the very first time (two papers by Twardowski). In addition, the volume presents new work by leading contemporary philosophers of language pursuing or discussing an act-based conception of propositional content. Moreover, the book contains a crosslinguistic study of nominalizations for actions and products, a distinction that plays a central role in the philosophy of language of Twardowski.

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