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I J Bienayme
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Download or read book I. J. Bienaymé written by C. C. Heyde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our interest in 1. J. Bienayme was kindled by the discovery of his paper of 1845 on simple branching processes as a model for extinction of family names. In this work he announced the key criticality theorem 28 years before it was rediscovered in incomplete form by Galton and Watson (after whom the process was subsequently and erroneously named). Bienayme was not an obscure figure in his time and he achieved a position of some eminence both as a civil servant and as an Academician. However, his is no longer widely known. There has been some recognition of his name work on least squares, and a gradually fading attribution in connection with the (Bienayme-) Chebyshev inequality, but little more. In fact, he made substantial contributions to most of the significant problems of probability and statistics which were of contemporary interest, and interacted with the major figures of the period. We have, over a period of years, collected his traceable scientific work and many interesting features have come to light. The present monograph has resulted from an attempt to describe his work in its historical context. Earlier progress reports have appeared in Heyde and Seneta (1972, to be reprinted in Studies in the History of Probability and Statistics, Volume 2, Griffin, London; 1975; 1976).
Book Synopsis James Joseph Sylvester by : Karen Hunger Parshall
Download or read book James Joseph Sylvester written by Karen Hunger Parshall and published by OUP Oxford. This book was released on 2013-01-10 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the folklore of mathematics, James Joseph Sylvester (1814-1897) is the eccentric, hot-tempered, sword-cane-wielding, nineteenth-century British Jew who, together with the taciturn Arthur Cayley, developed a theory and language of invariants that then died spectacularly in the 1890s as a result of David Hilbert's groundbreaking, 'modern' techniques. This, like all folklore, has some grounding in fact but owes much to fiction. The present volume brings together for the first time 140 letters from Sylvester's correspondence in an effort to establish the true picture. It reveals - through the letters as well as through the detailed mathematical and historical commentary accompanying them - Sylvester the friend, man of principle, mathematician, poet, professor, scientific activist, social observer, traveller. It also provides a detailed look at Sylvester's thoughts and thought processes as it shows him acting in both personal and professional spheres over the course of his eighty-two year life. The Sylvester who emerges from this analysis - unlike the Sylvester of the folkloric caricature - offers deep insight into the development of the technical and social structures of mathematics.
Book Synopsis Introduction to Probability by : Charles Miller Grinstead
Download or read book Introduction to Probability written by Charles Miller Grinstead and published by American Mathematical Soc.. This book was released on 1997 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.
Author :Francis John Anscombe Publisher :Springer Science & Business Media ISBN 13 :1461394503 Total Pages :440 pages Book Rating :4.4/5 (613 download)
Book Synopsis Computing in Statistical Science through APL by : Francis John Anscombe
Download or read book Computing in Statistical Science through APL written by Francis John Anscombe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: A t the terminal seated, the answering tone: pond and temple bell. ODAY as in the past, statistical method is profoundly affected by T resources for numerical calculation and visual display. The main line of development of statistical methodology during the first half of this century was conditioned by, and attuned to, the mechanical desk calculator. Now statisticians may use electronic computers of various kinds in various modes, and the character of statistical science has changed accordingly. Some, but not all, modes of modern computation have a flexibility and immediacy reminiscent of the desk calculator. They preserve the virtues of the desk calculator, while immensely exceeding its scope. Prominent among these is the computer language and conversational computing system known by the initials APL. This book is addressed to statisticians. Its first aim is to interest them in using APL in their work-for statistical analysis of data, for numerical support of theoretical studies, for simulation of random processes. In Part A the language is described and illustrated with short examples of statistical calculations. Part B, presenting some more extended examples of statistical analysis of data, has also the further aim of suggesting the interplay of computing and theory that must surely henceforth be typical of the develop ment of statistical science.
Book Synopsis Statisticians of the Centuries by : C.C. Heyde
Download or read book Statisticians of the Centuries written by C.C. Heyde and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading statisticians and probabilists, this volume consists of 104 biographical articles on eminent contributors to statistical and probabilistic ideas born prior to the 20th Century. Among the statisticians covered are Fermat, Pascal, Huygens, Neumann, Bernoulli, Bayes, Laplace, Legendre, Gauss, Poisson, Pareto, Markov, Bachelier, Borel, and many more.
Book Synopsis Leading Personalities in Statistical Sciences by : Norman L. Johnson
Download or read book Leading Personalities in Statistical Sciences written by Norman L. Johnson and published by John Wiley & Sons. This book was released on 1997-05-23 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating chronicle of the lives and achievements of the menand women who helped shapethe science of statistics This handsomely illustrated volume will make enthralling readingfor scientists, mathematicians, and science history buffs alike.Spanning nearly four centuries, it chronicles the lives andachievements of more than 110 of the most prominent names intheoretical and applied statistics and probability. From Bernoullito Markov, Poisson to Wiener, you will find intimate profiles ofwomen and men whose work led to significant advances in the areasof statistical inference and theory, probability theory, governmentand economic statistics, medical and agricultural statistics, andscience and engineering. To help readers arrive at a fullerappreciation of the contributions these pioneers made, the authorsvividly re-create the times in which they lived while exploring themajor intellectual currents that shaped their thinking andpropelled their discoveries. Lavishly illustrated with more than 40 authentic photographs andwoodcuts * Includes a comprehensive timetable of statistics from theseventeenth century to the present * Features edited chapters written by 75 experts from around theglobe * Designed for easy reference, features a unique numbering schemethat matches the subject profiled with his or her particular fieldof interest
Book Synopsis Classical Probability in the Enlightenment by : Lorraine Daston
Download or read book Classical Probability in the Enlightenment written by Lorraine Daston and published by Princeton University Press. This book was released on 1988 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a comprehensive, insightful survey of the history of probability, both in terms of its scientific and its social uses. . . . It represents a substantial contribution not only to the history of probability but also to our understanding of the Enlightenment in general".--Joseph W. Dauben, "American Scientist".
Book Synopsis A Short History of Mathematical Population Dynamics by : Nicolas Bacaër
Download or read book A Short History of Mathematical Population Dynamics written by Nicolas Bacaër and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.
Book Synopsis Fluctuations of Lévy Processes with Applications by : Andreas E. Kyprianou
Download or read book Fluctuations of Lévy Processes with Applications written by Andreas E. Kyprianou and published by Springer Science & Business Media. This book was released on 2014-01-09 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lévy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust mathematical theory exists. Their application appears in the theory of many areas of classical and modern stochastic processes including storage models, renewal processes, insurance risk models, optimal stopping problems, mathematical finance, continuous-state branching processes and positive self-similar Markov processes. This textbook is based on a series of graduate courses concerning the theory and application of Lévy processes from the perspective of their path fluctuations. Central to the presentation is the decomposition of paths in terms of excursions from the running maximum as well as an understanding of short- and long-term behaviour. The book aims to be mathematically rigorous while still providing an intuitive feel for underlying principles. The results and applications often focus on the case of Lévy processes with jumps in only one direction, for which recent theoretical advances have yielded a higher degree of mathematical tractability. The second edition additionally addresses recent developments in the potential analysis of subordinators, Wiener-Hopf theory, the theory of scale functions and their application to ruin theory, as well as including an extensive overview of the classical and modern theory of positive self-similar Markov processes. Each chapter has a comprehensive set of exercises.
Book Synopsis Introductory Lectures on Fluctuations of Lévy Processes with Applications by : Andreas E. Kyprianou
Download or read book Introductory Lectures on Fluctuations of Lévy Processes with Applications written by Andreas E. Kyprianou and published by Springer Science & Business Media. This book was released on 2006-12-18 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook forms the basis of a graduate course on the theory and applications of Lévy processes, from the perspective of their path fluctuations. The book aims to be mathematically rigorous while still providing an intuitive feel for underlying principles. The results and applications often focus on the case of Lévy processes with jumps in only one direction, for which recent theoretical advances have yielded a higher degree of mathematical transparency and explicitness.
Book Synopsis Introduction to Stochastic Models by : Marius Iosifescu
Download or read book Introduction to Stochastic Models written by Marius Iosifescu and published by John Wiley & Sons. This book was released on 2013-03-04 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a pedagogical examination of the way in which stochastic models are encountered in applied sciences and techniques such as physics, engineering, biology and genetics, economics and social sciences. It covers Markov and semi-Markov models, as well as their particular cases: Poisson, renewal processes, branching processes, Ehrenfest models, genetic models, optimal stopping, reliability, reservoir theory, storage models, and queuing systems. Given this comprehensive treatment of the subject, students and researchers in applied sciences, as well as anyone looking for an introduction to stochastic models, will find this title of invaluable use.
Book Synopsis Quantification and the Quest for Medical Certainty by : J. Rosser Mathews
Download or read book Quantification and the Quest for Medical Certainty written by J. Rosser Mathews and published by Princeton University Press. This book was released on 2021-09-14 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception in World War II, the clinical trial has evolved into a standard procedure in determining therapeutic efficacy in many Western industrial democracies. Its features include a "control" group of patients that do not receive the experimental treatment, the random allocation of patients to either the experimental or control group, and the use of blind assessment so that the researchers do not know which patients are in either group. Even though it has been only within the past generation that the clinical trial has moved to the forefront of medical research, comparative statistics in a therapeutic context has a much longer history. From that history J. Rosser Matthews chooses to discuss three crucial debates: that among clinicians before the Parisian Academy of Medicine in 1837, the debate in the German physiological literature during the 1850s, and, in the early twentieth century, the debate over the bacteriologist's diagnostic technique involving the "opsonic index." Matthews demonstrates that despite the very real differences separating clinician, physiologist, and bacteriologist, they all shared an antipathy toward the methods of the statistician. Since they viewed medical judgment as a form of "tacit knowledge," they downplayed the concerns of the medical statistician who was attempting to make medical inference into something explicit and quantitative. Only when "medical decision-making" moved from the cloistered confines of professional medical expertise into the arena of open political debate could the medical statistician (and the clinical trial) gain the upper hand.
Book Synopsis The Rise of Statistical Thinking, 1820–1900 by : Theodore M. Porter
Download or read book The Rise of Statistical Thinking, 1820–1900 written by Theodore M. Porter and published by Princeton University Press. This book was released on 2020-08-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential work on the origins of statistics The Rise of Statistical Thinking, 1820–1900 explores the history of statistics from the field's origins in the nineteenth century through to the factors that produced the burst of modern statistical innovation in the early twentieth century. Theodore Porter shows that statistics was not developed by mathematicians and then applied to the sciences and social sciences. Rather, the field came into being through the efforts of social scientists, who saw a need for statistical tools in their examination of society. Pioneering statistical physicists and biologists James Clerk Maxwell, Ludwig Boltzmann, and Francis Galton introduced statistical models to the sciences by pointing to analogies between their disciplines and the social sciences. A new preface by the author looks at how the book has remained relevant since its initial publication, and considers the current place of statistics in scientific research.
Book Synopsis Probability Theory by : L. E. Maistrov
Download or read book Probability Theory written by L. E. Maistrov and published by Academic Press. This book was released on 2014-07-03 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Theory: A Historical Sketch covers the probability theory, mainly axiomatization problems. The book discusses the prehistory of the probability theory; the first stage in the development of probability theory; and the development of probability theory to the middle of the 19th century. The text also describes the probability theory in the second half of the 19th century; and the axiomatic foundations of the probability theory. Historians and mathematicians will find the book invaluable.
Book Synopsis Statistical Modeling for Biological Systems by : Anthony Almudevar
Download or read book Statistical Modeling for Biological Systems written by Anthony Almudevar and published by Springer Nature. This book was released on 2020-03-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the scientific contributions of distinguished statistician, Andrei Yakovlev. It reflects upon Dr. Yakovlev’s many research interests including stochastic modeling and the analysis of micro-array data, and throughout the book it emphasizes applications of the theory in biology, medicine and public health. The contributions to this volume are divided into two parts. Part A consists of original research articles, which can be roughly grouped into four thematic areas: (i) branching processes, especially as models for cell kinetics, (ii) multiple testing issues as they arise in the analysis of biologic data, (iii) applications of mathematical models and of new inferential techniques in epidemiology, and (iv) contributions to statistical methodology, with an emphasis on the modeling and analysis of survival time data. Part B consists of methodological research reported as a short communication, ending with some personal reflections on research fields associated with Andrei and on his approach to science. The Appendix contains an abbreviated vitae and a list of Andrei’s publications, complete as far as we know. The contributions in this book are written by Dr. Yakovlev’s collaborators and notable statisticians including former presidents of the Institute of Mathematical Statistics and of the Statistics Section of the AAAS. Dr. Yakovlev’s research appeared in four books and almost 200 scientific papers, in mathematics, statistics, biomathematics and biology journals. Ultimately this book offers a tribute to Dr. Yakovlev’s work and recognizes the legacy of his contributions in the biostatistics community.
Book Synopsis Statistics in Psychology by : Michael Cowles
Download or read book Statistics in Psychology written by Michael Cowles and published by Psychology Press. This book was released on 2005-04-11 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an historical overview of the field--from its development to the present--at an accessible mathematical level. This edition features two new chapters--one on factor analysis and the other on the rise of ANOVA usage in psychological research. Written for psychology, as well as other social science students, this book introduces the major personalities and their roles in the development of the field. It provides insight into the disciplines of statistics and experimental design through the examination of the character of its founders and the nature of their views, which were sometimes personal and ideological, rather than objective and scientific. It motivates further study by illustrating the human component of this field, adding dimension to an area that is typically very technical. Intended for advanced undergraduate and/or graduate students in psychology and other social sciences, this book will also be of interest to instructors and/or researchers interested in the origins of this omnipresent discipline.
Book Synopsis Probability Models And Applications (Revised Second Edition) by : Ingram Olkin
Download or read book Probability Models And Applications (Revised Second Edition) written by Ingram Olkin and published by World Scientific. This book was released on 2019-09-03 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by renowned experts in the field, this reissue of a textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models. Readers will receive a firm foundation in techniques for deriving distributions of various summaries of data that will prepare them for subsequent studies of statistics, as well as a solid grounding in concepts such as that of conditional probability that will prepare them for more advanced courses in stochastic processes.
