A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935

Author:   Anders Hald
Publisher:   Springer-Verlag New York Inc.
Edition:   2007 ed.
ISBN:  

9780387464084


Pages:   225
Publication Date:   18 December 2006
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $211.07 Quantity:  
Add to Cart

Share |

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935


Add your own review!

Overview

This is a history of parametric statistical inference, written by one of the most important historians of statistics of the 20th century, Anders Hald. This book can be viewed as a follow-up to his two most recent books, although this current text is much more streamlined and contains new analysis of many ideas and developments. And unlike his other books, which were encyclopedic by nature, this book can be used for a course on the topic, the only prerequisites being a basic course in probability and statistics. The book is divided into five main sections: * Binomial statistical inference; * Statistical inference by inverse probability; * The central limit theorem and linear minimum variance estimation by Laplace and Gauss; * Error theory, skew distributions, correlation, sampling distributions; * The Fisherian Revolution, 1912-1935. Throughout each of the chapters, the author provides lively biographical sketches of many of the main characters, including Laplace, Gauss, Edgeworth, Fisher, and Karl Pearson. He also examines the roles played by DeMoivre, James Bernoulli, and Lagrange, and he provides an accessible exposition of the work of R.A. Fisher. This book will be of interest to statisticians, mathematicians, undergraduate and graduate students, and historians of science.

Full Product Details

Author:   Anders Hald
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2007 ed.
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.140kg
ISBN:  

9780387464084


ISBN 10:   0387464085
Pages:   225
Publication Date:   18 December 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

The Three Revolutions in Parametric Statistical Inference.- The Three Revolutions in Parametric Statistical Inference.- Binomial Statistical Inference.- James Bernoulli’s Law of Large Numbers for the Binomial, 1713, and Its Generalization.- De Moivre’s Normal Approximation to the Binomial, 1733, and Its Generalization.- Bayes’s Posterior Distribution of the Binomial Parameter and His Rule for Inductive Inference, 1764.- Statistical Inference by Inverse Probability.- Laplace’s Theory of Inverse Probability, 1774–1786.- A Nonprobabilistic Interlude: The Fitting of Equations to Data, 1750–1805.- Gauss’s Derivation of the Normal Distribution and the Method of Least Squares, 1809.- Credibility and Confidence Intervals by Laplace and Gauss.- The Multivariate Posterior Distribution.- Edgeworth’s Genuine Inverse Method and the Equivalence of Inverse and Direct Probability in Large Samples, 1908 and 1909.- Criticisms of Inverse Probability.- The Central Limit Theorem and Linear Minimum Variance Estimation by Laplace and Gauss.- Laplace’s Central Limit Theorem and Linear Minimum Variance Estimation.- Gauss’s Theory of Linear Minimum Variance Estimation.- Error Theory. Skew Distributions. Correlation. Sampling Distributions.- The Development of a Frequentist Error Theory.- Skew Distributions and the Method of Moments.- Normal Correlation and Regression.- Sampling Distributions Under Normality, 1876–1908.- The Fisherian Revolution, 1912–1935.- Fisher’s Early Papers, 1912–1921.- The Revolutionary Paper, 1922.- Studentization, the F Distribution, and the Analysis of Variance, 1922–1925.- The Likelihood Function, Ancillarity, and Conditional Inference.

Reviews

From the reviews: In this very enjoyable and interesting book, Hald ... presents his subject in a very lively style; many ideas and developments in statistics are treated with great clarity. It is very suitable as a course resource in history of statistical inference ... . Throughout, the author provides brief biographical sketches of researchers whose contributions to statistics are included here. ... A very useful and valuable work on the history of statistical inference. ... Summing Up: Highly recommended. Lower- and upper-division undergraduates through faculty. (D. V. Chopra, CHOICE, Vol. 44 (11), July, 2007) This is a useful account of the historical development of the theory that underlies the empirically observed stability of data averages for large samples and how their precision may be measured. ... The resultant book is a suitable text for a one-semester course on what is arguably the core piece of statistical history. (C. C. Heyde, SIAM Review, Vol. 50 (1), 2008)


From the reviews: <p> In this very enjoyable and interesting book, Hald a ] presents his subject in a very lively style; many ideas and developments in statistics are treated with great clarity. It is very suitable as a course resource in history of statistical inference a ] . Throughout, the author provides brief biographical sketches of researchers whose contributions to statistics are included here. a ] A very useful and valuable work on the history of statistical inference. a ] Summing Up: Highly recommended. Lower- and upper-division undergraduates through faculty. (D. V. Chopra, CHOICE, Vol. 44 (11), July, 2007) <p> This is a useful account of the historical development of the theory that underlies the empirically observed stability of data averages for large samples and how their precision may be measured. a ] The resultant book is a suitable text for a one-semester course on what is arguably the core piece of statistical history. (C. C. Heyde, SIAM Review, Vol. 50 (1), 2008)


Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List