東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Normal approximation and asymptotic ...

Bhattacharya, R. N. (1937-{me_controlnum})

Linked to FindBook

Google Book

Amazon

博客來

Normal approximation and asymptotic expansions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Normal approximation and asymptotic expansions/ Rabi N. Bhattacharya, R. Ranga Rao.
Author:	Bhattacharya, R. N.
other author:	Ranga Rao, R.
Published:	Philadelphia :Society for Industrial and Applied Mathematics, : c2010.,
Description:	1 electronic text (xxii, 316 p.)
Notes:	"Updated republication of the work first published by Robert E. Krieger Publishing Company, Inc., in 1986"--Copr. p.
[NT 15003449]:	Preface to the classics edition -- Preface -- 1. Weak convergence of probability measures and uniformity classes -- 2. Fourier transforms and expansions of characteristic functions -- 3. Bounds for errors of normal approximation -- 4. Asymptotic expansions, nonlattice distributions -- 5. Asymptotic expansions, lattice distributions -- 6. Two recent improvements -- 7. An application of Stein's method -- Appendix A.1. Random vectors and independence -- Appendix A.2. Functions of bounded variation and distribution functions -- Appendix A.3. Absolutely continuous, singular, and discrete probability measures -- Appendix A.4. The Euler-MacLaurin sum formula for functions of several variables -- References -- Index.
Subject:	Asymptotic expansions. -
Online resource:	http://portal.igpublish.com/iglibrary/search/SIAMB0000414.html
ISBN:	9780898719895 (electronic bk.)

Normal approximation and asymptotic expansions
Bhattacharya, R. N.1937-{me_controlnum}

Normal approximation and asymptotic expansions[electronic resource] /Rabi N. Bhattacharya, R. Ranga Rao. - Philadelphia :Society for Industrial and Applied Mathematics,c2010. - 1 electronic text (xxii, 316 p.) - Classics in applied mathematics ;64. - Classics in applied mathematics ;56..

"Updated republication of the work first published by Robert E. Krieger Publishing Company, Inc., in 1986"--Copr. p.

Includes bibliographical references and index.

Preface to the classics edition -- Preface -- 1. Weak convergence of probability measures and uniformity classes -- 2. Fourier transforms and expansions of characteristic functions -- 3. Bounds for errors of normal approximation -- 4. Asymptotic expansions, nonlattice distributions -- 5. Asymptotic expansions, lattice distributions -- 6. Two recent improvements -- 7. An application of Stein's method -- Appendix A.1. Random vectors and independence -- Appendix A.2. Functions of bounded variation and distribution functions -- Appendix A.3. Absolutely continuous, singular, and discrete probability measures -- Appendix A.4. The Euler-MacLaurin sum formula for functions of several variables -- References -- Index.

Although this was first published in 1976, it has gained new significance and renewed interest among statisticians due to the developments of modern statistical techniques such as the bootstrap, the efficacy of which can be ascertained by asymptotic expansions. This also is the only book containing a detailed treatment of various refinements of the multivariate central limit theorem (CLT), including Berry-Essen-type error bounds for probabilities of general classes of functions and sets, and asymptotic expansions for both lattice and non-lattice distributions.

ISBN: 9780898719895 (electronic bk.)Subjects--Topical Terms:

526123
Asymptotic expansions.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA273.67 / .B48 2010eb

Dewey Class. No.: 519.2

Normal approximation and asymptotic expansions
LDR:02526cmm 2200265 a 4500 001 1324901
005 20121220095559.0
008 130122r20101986pau ob 001 0 eng d
020 $a 9780898719895 (electronic bk.)
020 $a 0898719895 (electronic bk.)
020 $z 089871897X (pbk.)
020 $z 9780898718973 (pbk.)
035 $a 697887745
050 4 $a QA273.67 $b .B48 2010eb
082 0 4 $a 519.2 $2 22
100 1 $a Bhattacharya, R. N. $q (Rabindra Nath), $d 1937-{me_controlnum} $3 1612031
245 1 0 $a Normal approximation and asymptotic expansions $h [electronic resource] / $c Rabi N. Bhattacharya, R. Ranga Rao.
260 $a Philadelphia : $b Society for Industrial and Applied Mathematics, $c c2010.
300 $a 1 electronic text (xxii, 316 p.)
490 1 $a Classics in applied mathematics ; $v 64
500 $a "Updated republication of the work first published by Robert E. Krieger Publishing Company, Inc., in 1986"--Copr. p.
504 $a Includes bibliographical references and index.
505 0 $a Preface to the classics edition -- Preface -- 1. Weak convergence of probability measures and uniformity classes -- 2. Fourier transforms and expansions of characteristic functions -- 3. Bounds for errors of normal approximation -- 4. Asymptotic expansions, nonlattice distributions -- 5. Asymptotic expansions, lattice distributions -- 6. Two recent improvements -- 7. An application of Stein's method -- Appendix A.1. Random vectors and independence -- Appendix A.2. Functions of bounded variation and distribution functions -- Appendix A.3. Absolutely continuous, singular, and discrete probability measures -- Appendix A.4. The Euler-MacLaurin sum formula for functions of several variables -- References -- Index.
520 3 $a Although this was first published in 1976, it has gained new significance and renewed interest among statisticians due to the developments of modern statistical techniques such as the bootstrap, the efficacy of which can be ascertained by asymptotic expansions. This also is the only book containing a detailed treatment of various refinements of the multivariate central limit theorem (CLT), including Berry-Essen-type error bounds for probabilities of general classes of functions and sets, and asymptotic expansions for both lattice and non-lattice distributions.
588 $a Description based on print version record.
650 0 $a Asymptotic expansions. $3 526123
650 0 $a Central limit theorem. $3 648367
650 0 $a Convergence. $3 589031
655 0 $a Electronic books. $2 lcsh $3 542853
700 1 $a Ranga Rao, R. $q (Ramaswamy), $d 1935- $3 1612053
776 0 8 $i Print version: $a Bhattacharya, R. N. (Rabindra Nath), 1937- $t Normal approximation and asymptotic expansions. $d Philadelphia : Society for Industrial and Applied Mathematics, c2010 $z 9780898718973 $w (DLC) 2010031917 $w (OCoLC)652447900.
830 0 $a Classics in applied mathematics ; $v 56. $3 1232928
856 4 1 $u http://portal.igpublish.com/iglibrary/search/SIAMB0000414.html