Classic Topics On The History Of Modern Mathematical Statistics

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Classic Topics on the History of Modern Mathematical Statistics

Prakash Gorroochurn
Classic Topics on the History of Modern Mathematical Statistics Book PDF

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
Page : 776 pages
File Size : 41,7 Mb
Release : 2016-04-04
Category : Mathematics
ISBN : 9781119127925

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Classic Topics on the History of Modern Mathematical Statistics by Prakash Gorroochurn Pdf

"There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.

Classic Topics on the History of Modern Mathematical Statistics

Prakash Gorroochurn
Classic Topics on the History of Modern Mathematical Statistics Book PDF

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
Page : 776 pages
File Size : 55,6 Mb
Release : 2016-03-21
Category : Mathematics
ISBN : 9781119127949

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Classic Topics on the History of Modern Mathematical Statistics by Prakash Gorroochurn Pdf

"There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.

Annotated Readings in the History of Statistics

H.A. David,A.W.F. Edwards
Annotated Readings in the History of Statistics Book PDF

Author : H.A. David,A.W.F. Edwards
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 51,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475735000

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Annotated Readings in the History of Statistics by H.A. David,A.W.F. Edwards Pdf

This book provides a selection of pioneering papers or extracts ranging from Pascal (1654) to R.A. Fisher (1930). The editors'annotations put the articles in perspective for the modern reader. A special feature of the book is the large number of translations, nearly all made by the authors. There are several reasons for studying the history of statistics: intrinsic interest in how the field of statistics developed, learning from often brilliant ideas and not reinventing the wheel, and livening up general courses in statistics by reference to important contributors.

Modern Mathematical Statistics

Edward J. Dudewicz,Satya N. Mishra
Modern Mathematical Statistics Book PDF

Author : Edward J. Dudewicz,Satya N. Mishra
Publisher : Unknown
Page : 862 pages
File Size : 50,5 Mb
Release : 1988-01-18
Category : Mathematics
ISBN : UOM:39015016357066

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Modern Mathematical Statistics by Edward J. Dudewicz,Satya N. Mishra Pdf

This text covers the science of statistics. In addition to classical probability theory, such topics as order statistics and limiting distributions are discussed, along with applied examples from a wide variety of fields.

Modern Mathematical Statistics with Applications

Jay L. Devore,Kenneth N. Berk,Matthew A. Carlton
Modern Mathematical Statistics with Applications Book PDF

Author : Jay L. Devore,Kenneth N. Berk,Matthew A. Carlton
Publisher : Springer Nature
Page : 981 pages
File Size : 54,7 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9783030551568

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Modern Mathematical Statistics with Applications by Jay L. Devore,Kenneth N. Berk,Matthew A. Carlton Pdf

This 3rd edition of Modern Mathematical Statistics with Applications tries to strike a balance between mathematical foundations and statistical practice. The book provides a clear and current exposition of statistical concepts and methodology, including many examples and exercises based on real data gleaned from publicly available sources. Here is a small but representative selection of scenarios for our examples and exercises based on information in recent articles: Use of the “Big Mac index” by the publication The Economist as a humorous way to compare product costs across nations Visualizing how the concentration of lead levels in cartridges varies for each of five brands of e-cigarettes Describing the distribution of grip size among surgeons and how it impacts their ability to use a particular brand of surgical stapler Estimating the true average odometer reading of used Porsche Boxsters listed for sale on www.cars.com Comparing head acceleration after impact when wearing a football helmet with acceleration without a helmet Investigating the relationship between body mass index and foot load while running The main focus of the book is on presenting and illustrating methods of inferential statistics used by investigators in a wide variety of disciplines, from actuarial science all the way to zoology. It begins with a chapter on descriptive statistics that immediately exposes the reader to the analysis of real data. The next six chapters develop the probability material that facilitates the transition from simply describing data to drawing formal conclusions based on inferential methodology. Point estimation, the use of statistical intervals, and hypothesis testing are the topics of the first three inferential chapters. The remainder of the book explores the use of these methods in a variety of more complex settings. This edition includes many new examples and exercises as well as an introduction to the simulation of events and probability distributions. There are more than 1300 exercises in the book, ranging from very straightforward to reasonably challenging. Many sections have been rewritten with the goal of streamlining and providing a more accessible exposition. Output from the most common statistical software packages is included wherever appropriate (a feature absent from virtually all other mathematical statistics textbooks). The authors hope that their enthusiasm for the theory and applicability of statistics to real world problems will encourage students to pursue more training in the discipline.

A History of Mathematical Statistics from 1750 to 1930

Anders Hald
A History of Mathematical Statistics from 1750 to 1930 Book PDF

Author : Anders Hald
Publisher : Wiley-Interscience
Page : 832 pages
File Size : 50,6 Mb
Release : 1998-04-22
Category : Mathematics
ISBN : UOM:39015045636373

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A History of Mathematical Statistics from 1750 to 1930 by Anders Hald Pdf

The long-awaited second volume of Anders Hald's history of the development of mathematical statistics. Anders Hald's A History of Probability and Statistics and Their Applications before 1750 is already considered a classic by many mathematicians and historians. This new volume picks up where its predecessor left off, describing the contemporaneous development and interaction of four topics: direct probability theory and sampling distributions; inverse probability by Bayes and Laplace; the method of least squares and the central limit theorem; and selected topics in estimation theory after 1830. In this rich and detailed work, Hald carefully traces the history of parametric statistical inference, the development of the corresponding mathematical methods, and some typical applications. Not surprisingly, the ideas, concepts, methods, and results of Laplace, Gauss, and Fisher dominate his account. In particular, Hald analyzes the work and interactions of Laplace and Gauss and describes their contributions to modern theory. Hald also offers a great deal of new material on the history of the period and enhances our understanding of both the controversies and continuities that developed between the different schools. To enable readers to compare the contributions of various historical figures, Professor Hald has rewritten the original papers in a uniform modern terminology and notation, while leaving the ideas unchanged. Statisticians, probabilists, actuaries, mathematicians, historians of science, and advanced students will find absorbing reading in the author's insightful description of important problems and how they gradually moved toward solution.

Basics of Modern Mathematical Statistics

Wolfgang Karl Härdle,Vladimir Spokoiny,Vladimir Panov,Weining Wang
Basics of Modern Mathematical Statistics Book PDF

Author : Wolfgang Karl Härdle,Vladimir Spokoiny,Vladimir Panov,Weining Wang
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 45,8 Mb
Release : 2013-11-08
Category : Mathematics
ISBN : 9783642368509

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Basics of Modern Mathematical Statistics by Wolfgang Karl Härdle,Vladimir Spokoiny,Vladimir Panov,Weining Wang Pdf

​The complexity of today’s statistical data calls for modern mathematical tools. Many fields of science make use of mathematical statistics and require continuous updating on statistical technologies. Practice makes perfect, since mastering the tools makes them applicable. Our book of exercises and solutions offers a wide range of applications and numerical solutions based on R. In modern mathematical statistics, the purpose is to provide statistics students with a number of basic exercises and also an understanding of how the theory can be applied to real-world problems. The application aspect is also quite important, as most previous exercise books are mostly on theoretical derivations. Also we add some problems from topics often encountered in recent research papers. The book was written for statistics students with one or two years of coursework in mathematical statistics and probability, professors who hold courses in mathematical statistics, and researchers in other fields who would like to do some exercises on math statistics.

Birth of Modern Facts

James W Cortada
Birth of Modern Facts Book PDF

Author : James W Cortada
Publisher : Rowman & Littlefield
Page : 462 pages
File Size : 51,7 Mb
Release : 2023-01-15
Category : Electronic
ISBN : 9781538173916

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Birth of Modern Facts by James W Cortada Pdf

James W. Cortada is Senior Research Fellow at the Charles Babbage Institute at the University of Minnesota Twin Cities. He formerly worked at IBM Corporation in a variety of sales, consulting, research, management, and executive positions. His research and writing have focused on the business history of information technology and in the role of information in modern societies. He is the author or editor of more than three dozen books and serves on the editorial board of key journals devoted to the history of information and its technologies. Most recently he co-authored with William Aspray, Fake News Nation: The Long History of Lies and Misinterpretations in America (R&L, 2019) and From Urban Legends to Political Fact-Checking (Springer, 2019); and authored Building Blocks of Society: History, Information Ecosystems, and Infrastructures (R&L, 2021).

A Brief History Of Mathematics For Curious Minds

Krzysztof R Apt
A Brief History Of Mathematics For Curious Minds Book PDF

Author : Krzysztof R Apt
Publisher : World Scientific
Page : 223 pages
File Size : 45,9 Mb
Release : 2023-11-17
Category : Mathematics
ISBN : 9789811280467

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A Brief History Of Mathematics For Curious Minds by Krzysztof R Apt Pdf

This book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.

Mathematical Problems

Craig Smoryński
Mathematical Problems Book PDF

Author : Craig Smoryński
Publisher : Springer Nature
Page : 406 pages
File Size : 44,9 Mb
Release : 2020-09-19
Category : Mathematics
ISBN : 9783030509170

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Mathematical Problems by Craig Smoryński Pdf

The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, and their applications are wide. The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. The present book, aimed at the proverbial “bright high-school student”, takes a different, more philosophical approach, first dividing mathematical problems into three broad classes — puzzles, exercises, and open problems — and discussing their various roles in one’s mathematical education. Various chapters are devoted to discussing examples of each type of problem, along with their solutions and some of the developments arising from them. For the truly dedicated reader, more involved material is offered in an appendix. Mathematics does not exist in a vacuum, whence the author peppers the material with frequent extra-mathematical cultural references. The mathematics itself is elementary, for the most part pre-calculus. The few references to the calculus use the integral notation which the reader need not truly be familiar with, opting to read the integral sign as strange notation for area or as operationally defined by the appropriate buttons on his or her graphing calculator. Nothing further is required. Advance praise for Mathematical Problems "There are many books on mathematical problems, but Smoryński’s compelling book offers something unique. Firstly, it includes a fruitful classification and analysis of the nature of mathematical problems. Secondly, and perhaps most importantly, it leads the reader from clear and often amusing accounts of traditional problems to the serious mathematics that grew out of some of them." - John Baldwin, University of Illinois at Chicago "Smoryński manages to discuss the famous puzzles from the past and the new items in various modern theories with the same elegance and personality. He presents and solves puzzles and traditional topics with a laudable sense of humor. Readers of all ages and training will find the book a rich treasure chest." - Dirk van Dalen, Universiteit Utrecht

Probability Theory and Statistical Inference

Aris Spanos
Probability Theory and Statistical Inference Book PDF

Author : Aris Spanos
Publisher : Cambridge University Press
Page : 787 pages
File Size : 40,8 Mb
Release : 2019-09-19
Category : Business & Economics
ISBN : 9781107185142

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Probability Theory and Statistical Inference by Aris Spanos Pdf

This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.

Mathematical Statistics

Peter .J. Bickel,Kjell A. Doksum
Mathematical Statistics Book PDF

Author : Peter .J. Bickel,Kjell A. Doksum
Publisher : CRC Press
Page : 1051 pages
File Size : 52,9 Mb
Release : 2015-12-08
Category : Business & Economics
ISBN : 9781498740418

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Mathematical Statistics by Peter .J. Bickel,Kjell A. Doksum Pdf

This package includes both Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition, as well as Mathematical Statistics: Basic Ideas and Selected Topics, Volume II. Volume I presents fundamental, classical statistical concepts at the doctorate level without using measure theory. It gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods. Volume II covers a number of topics that are important in current measure theory and practice. It emphasizes nonparametric methods which can really only be implemented with modern computing power on large and complex data sets. In addition, the set includes a large number of problems with more difficult ones appearing with hints and partial solutions for the instructor.

The Error of Truth

Steven J. Osterlind
The Error of Truth Book PDF

Author : Steven J. Osterlind
Publisher : Oxford University Press
Page : 352 pages
File Size : 41,5 Mb
Release : 2019-01-24
Category : Science
ISBN : 9780192567383

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The Error of Truth by Steven J. Osterlind Pdf

Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part. The Error of Truth recounts the astonishing and unexpected tale of how quantitative thinking came to be, and its rise to primacy in the nineteenth and early twentieth centuries. Additionally, it considers how seeing the world through a quantitative lens has shaped our perception of the world we live in, and explores the lives of the individuals behind its early establishment. This worldview was unlike anything humankind had before, and it came about because of a momentous human achievement: we had learned how to measure uncertainty. Probability as a science was conceptualised. As a result of probability theory, we now had correlations, reliable predictions, regressions, the bellshaped curve for studying social phenomena, and the psychometrics of educational testing. Significantly, these developments happened during a relatively short period in world history— roughly, the 130-year period from 1790 to 1920, from about the close of the Napoleonic era, through the Enlightenment and the Industrial Revolutions, to the end of World War I. At which time, transportation had advanced rapidly, due to the invention of the steam engine, and literacy rates had increased exponentially. This brief period in time was ready for fresh intellectual activity, and it gave a kind of impetus for the probability inventions. Quantification is now everywhere in our daily lives, such as in the ubiquitous microchip in smartphones, cars, and appliances; in the Bayesian logic of artificial intelligence, as well as applications in business, engineering, medicine, economics, and elsewhere. Probability is the foundation of quantitative thinking. The Error of Truth tells its story— when, why, and how it happened.

All of Statistics

Larry Wasserman
All of Statistics Book PDF

Author : Larry Wasserman
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 48,6 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9780387217369

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All of Statistics by Larry Wasserman Pdf

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Against All Odds

Eva Kaufholz-Soldat,Nicola M.R. Oswald
Against All Odds Book PDF

Author : Eva Kaufholz-Soldat,Nicola M.R. Oswald
Publisher : Springer Nature
Page : 331 pages
File Size : 49,9 Mb
Release : 2020-07-29
Category : Education
ISBN : 9783030476106

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Against All Odds by Eva Kaufholz-Soldat,Nicola M.R. Oswald Pdf

This book presents an overview of the ways in which women have been able to conduct mathematical research since the 18th century, despite their general exclusion from the sciences. Grouped into four thematic sections, the authors concentrate on well-known figures like Sophie Germain and Grace Chisholm Young, as well as those who have remained unnoticed by historians so far. Among them are Stanisława Nidodym, the first female students at the universities in Prague at the turn of the 20th century, and the first female professors of mathematics in Denmark. Highlighting individual biographies, couples in science, the situation at specific European universities, and sociological factors influencing specific careers from the 18th century to the present, the authors trace female mathematicians’ status as it evolved from singular and anomalous to virtually commonplace. The book also offers insights into the various obstacles women faced when trying to enter perhaps the “most male” discipline of all, and how some of them continue to shape young girls’ self-perceptions and career choices today. Thus, it will benefit scholars and students in STEM disciplines, gender studies and the history of science; women in science, mathematics and at institutions, and those working in mathematics education.