000			04745nam a22005055i 4500
001			978-0-387-46409-1
003			DE-He213
005			20161121231122.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387464091 _9978-0-387-46409-1
024	7		_a10.1007/978-0-387-46409-1 _2doi
050		4	_aQA273.A1-274.9
050		4	_aQA274-274.9
072		7	_aPBT _2bicssc
072		7	_aPBWL _2bicssc
072		7	_aMAT029000 _2bisacsh
082	0	4	_a519.2 _223
100	1		_aHald, Anders. _eauthor.
245	1	2	_aA History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935 _h[electronic resource] / _cby Anders Hald.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXIV, 226 p. 11 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSources and Studies in the History of Mathematics and Physical Sciences
505	0		_aThe 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.
520			_aThis 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.
650		0	_aMathematics.
650		0	_aHistory.
650		0	_aProbabilities.
650		0	_aStatistics.
650	1	4	_aMathematics.
650	2	4	_aProbability Theory and Stochastic Processes.
650	2	4	_aHistory of Mathematical Sciences.
650	2	4	_aStatistical Theory and Methods.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387464084
830		0	_aSources and Studies in the History of Mathematics and Physical Sciences
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-46409-1
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c508871 _d508871