000 03050cam a22003254a 4500
001 2010045942
003 DLC
005 20151013135848.0
008 101129s2011 flua b 001 0 eng
010 _a 2010045942
020 _a9781420076608 (hardback)
020 _a1420076604 (hardback)
040 _aDLC
_cDLC
_dYDX
_dYDXCP
_dCDX
_dBWX
_dDLC
050 0 0 _aQA273.67
_b.P65 2011
082 0 0 _a519.2
_222
084 _aMAT029000
_2bisacsh
100 1 _aPolansky, Alan M.
245 1 0 _aIntroduction to statistical limit theory /
_cAlan M. Polansky.
260 _aBoca Raton, FL :
_bChapman & Hall/CRC Press,
_cc2011.
300 _axx, 625 p. :
_bill. ;
_c25 cm.
490 1 _aChapman & Hall/CRC texts in statistical science series
504 _aIncludes bibliographical references and index.
520 _a"Helping students develop a good understanding of asymptotic theory, Introduction to Statistical Limit Theory provides a thorough yet accessible treatment of common modes of convergence and their related tools used in statistics. It also discusses how the results can be applied to several common areas in the field.The author explains as much of the background material as possible and offers a comprehensive account of the modes of convergence of random variables, distributions, and moments, establishing a firm foundation for the applications that appear later in the book. The text includes detailed proofs that follow a logical progression of the central inferences of each result. It also presents in-depth explanations of the results and identifies important tools and techniques. Through numerous illustrative examples, the book shows how asymptotic theory offers deep insight into statistical problems, such as confidence intervals, hypothesis tests, and estimation. With an array of exercises and experiments in each chapter, this classroom-tested book gives students the mathematical foundation needed to understand asymptotic theory. It covers the necessary introductory material as well as modern statistical applications, exploring how the underlying mathematical and statistical theories work together"--Provided by publisher.
520 _a"Those moving on to advanced statistics typically lack the mathematical foundation that allows them to make full use of statistical limit theory. This accessible resource reviews approximation theory and limit theory for sequences of functions and basic notions of functional analysis. It provides detailed arguments that show how underlying mathematical and statistical theory work together. Among its unique qualities, the text covers expansion theory, which is becoming increasingly important in modern applications. It also discusses bootstrap, kernel smoothing, and Markov chain Monte Carlo and includes a wide array of examples and problems from the fundamental to very advanced"--Provided by publisher.
590 _arua 23/04/13
591 _aLoans
650 0 _aLimit theorems (Probability theory)
830 0 _aTexts in statistical science.
942 _2ddc
_cBOOK
999 _c831
_d831