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020 _a9780387464091
_99780387464091
024 7 _a10.1007/9780387464091
_2doi
035 _avtls000331504
039 9 _a201509030754
_bVLOAD
_c201404121852
_dVLOAD
_c201404091620
_dVLOAD
_c201401311417
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA21-27
100 1 _aHald, Anders.
_eautor
_9304717
245 1 2 _aA History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935 /
_cby Anders Hald.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _axiii, 223 páginas,
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aSources and Studies in the History of Mathematics and Physical Sciences
500 _aSpringer eBooks
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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387464084
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-46409-1
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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