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Elements of distribution theory /

Severini, Thomas A. (1959- )

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Elements of distribution theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Elements of distribution theory // Thomas A. Severini.
作者:	Severini, Thomas A.
出版者:	New York, NY :Cambridge University Press, : 2005. ,
面頁冊數:	xii, 515 p. :ill. ;27 cm.
附註:	Edition statement on t.p. verso "Second edtion 2012" is incorrect.
標題:	Distribution (Probability theory) -
電子資源:	http://bvbr.bib-bvb.de:8991/F?func=service&doc%5Flibrary=BVB01&doc%5Fnumber=013830731&line%5Fnumber=0001&func%5Fcode=DB%5FRECORDS&service%5Ftype=MEDIA
ISBN:	9781107630734 (pbk.) :

Elements of distribution theory /
Severini, Thomas A.1959-

Elements of distribution theory /Thomas A. Severini. - New York, NY :Cambridge University Press,2005. - xii, 515 p. :ill. ;27 cm. - Cambridge series in statistical and probabilistic mathematics . - Cambridge series on statistical and probabilistic mathematics. .

Edition statement on t.p. verso "Second edtion 2012" is incorrect.

Includes bibliographical references (p. 503-505) and indexes.

Properties of probability distributions --

This detailed introduction to distribution theory is designed as a text for the probability portion of the first year statistical theory sequence for Master's and PhD students in statistics, biostatistics and econometrics. The text uses no measure theory, requiring only a background in calculus and linear algebra. Topics range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals and orthogonal polynomials. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book.

ISBN: 9781107630734 (pbk.) :US48.00

LCCN: 2005016479 Subjects--Topical Terms:

2067571
Distribution (Probability theory)

LC Class. No.: QA273.6 / .S48 2005

Dewey Class. No.: 515/.782

Elements of distribution theory /
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245 1 0 $a Elements of distribution theory / $c Thomas A. Severini.
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300 $a xii, 515 p. : $b ill. ; $c 27 cm.
490 1 0 $a Cambridge series in statistical and probabilistic mathematics
500 $a Edition statement on t.p. verso "Second edtion 2012" is incorrect.
504 $a Includes bibliographical references (p. 503-505) and indexes.
505 0 # $t Properties of probability distributions -- $t Conditional distributions and expectation -- $t Characteristic functions -- $t Moments and cumulants -- $t Parametric families of distributions -- $t Stochastic processes -- $t Distribution theory for functions of random variables -- $t Normal distribution theory -- $t Approximation of integrals -- $t Orthogonal polynomials -- $t Approximation of probability distributions -- $t Central limit theorems -- $t Approximations to the distributions of more general statistics -- $t Higher-order asymptotic approximations -- $t App. 1 : Integration with respect to a distribution function -- $t App. 2 : Basic properties of complex numbers.
520 # $a This detailed introduction to distribution theory is designed as a text for the probability portion of the first year statistical theory sequence for Master's and PhD students in statistics, biostatistics and econometrics. The text uses no measure theory, requiring only a background in calculus and linear algebra. Topics range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals and orthogonal polynomials. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book.
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830 0 $a Cambridge series on statistical and probabilistic mathematics. $3 2069936
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