Contributions to Mathematical Statistics
Title | Contributions to Mathematical Statistics PDF eBook |
Author | Sir Ronald Aylmer Fisher |
Publisher | |
Pages | 674 |
Release | 1950 |
Genre | |
ISBN |
A History of Mathematical Statistics from 1750 to 1930
Title | A History of Mathematical Statistics from 1750 to 1930 PDF eBook |
Author | Anders Hald |
Publisher | Wiley-Interscience |
Pages | 832 |
Release | 1998-04-22 |
Genre | Mathematics |
ISBN |
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.
F. Y. Edgeworth's Contributions to Mathematical Statistics
Title | F. Y. Edgeworth's Contributions to Mathematical Statistics PDF eBook |
Author | Sir Arthur Lyon Bowley |
Publisher | |
Pages | 156 |
Release | 1928 |
Genre | Mathematical statistics |
ISBN |
Mathematical Statistics and Limit Theorems
Title | Mathematical Statistics and Limit Theorems PDF eBook |
Author | Marc Hallin |
Publisher | Springer |
Pages | 326 |
Release | 2015-04-07 |
Genre | Mathematics |
ISBN | 3319124420 |
This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.
Classic Topics on the History of Modern Mathematical Statistics
Title | Classic Topics on the History of Modern Mathematical Statistics PDF eBook |
Author | Prakash Gorroochurn |
Publisher | John Wiley & Sons |
Pages | 776 |
Release | 2016-03-29 |
Genre | Mathematics |
ISBN | 1119127939 |
"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.
A History of Probability and Statistics and Their Applications before 1750
Title | A History of Probability and Statistics and Their Applications before 1750 PDF eBook |
Author | Anders Hald |
Publisher | John Wiley & Sons |
Pages | 611 |
Release | 2005-02-25 |
Genre | Mathematics |
ISBN | 047172517X |
WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." –Short Book Reviews of ISI
A Course in Mathematical Statistics
Title | A Course in Mathematical Statistics PDF eBook |
Author | George G. Roussas |
Publisher | Elsevier |
Pages | 594 |
Release | 1997-03-12 |
Genre | Mathematics |
ISBN | 0080493149 |
A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one-semester (or even one-quarter) course in probability alone. It bridges the gap between high and intermediate level texts so students without a sophisticated mathematical background can assimilate a fairly broad spectrum of the theorems and results from mathematical statistics. The coverage is extensive, and consists of probability and distribution theory, and statistical inference.* Contains 25% new material* Includes the most complete coverage of sufficiency * Transformation of Random Vectors* Sufficiency / Completeness / Exponential Families* Order Statistics* Elements of Nonparametric Density Estimation* Analysis of Variance (ANOVA)* Regression Analysis* Linear Models