Improving Poisson approximations through tilting and expansion

被引：2

作者：

Kathman, SJ ^{[1
]}

Terrell, GR ^{[1
]}

机构：

[1] Virginia Tech, Lawrenceville, GA 30043 USA

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2002年 / 104卷 / 02期

关键词：

Poisson approximation; probability generating function; exponential tilting; saddlepoint methods;

D O I：

10.1016/S0378-3758(01)00261-0

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Random variables defined on the natural numbers may often be approximated by Poisson variables. Just as normal approximations may be improved by saddlepoint methods, Poisson approximations may be substantially improved by tilting and expansion. A finite population relative of the probability generating function turns out to be useful in this process. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：315 / 327

页数：13

共 50 条

[31] LE CAMS INEQUALITY AND POISSON APPROXIMATIONS
STEELE, JM
AMERICAN MATHEMATICAL MONTHLY, 1994, 101 (01): : 48 - 54
[32] IMPROVED POISSON APPROXIMATIONS FOR WORD PATTERNS
GODBOLE, AP
SCHAFFNER, AA
ADVANCES IN APPLIED PROBABILITY, 1993, 25 (02) : 334 - 347
[33] Signed Poisson approximations for Markov chains
Cekanavicius, V
Mikalauskas, M
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 82 (02) : 205 - 227
[34] EXPANSION OF A POISSON KERNEL
LOSSERS, OP
AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (02): : 203 - &
[35] Improving Retrieval of Short Texts Through Document Expansion
Efron, Miles
Organisciak, Peter
Fenlon, Katrina
SIGIR 2012: PROCEEDINGS OF THE 35TH INTERNATIONAL ACM SIGIR CONFERENCE ON RESEARCH AND DEVELOPMENT IN INFORMATION RETRIEVAL, 2012, : 911 - 920
[36] Improving numerical integration through basis set expansion
Dew A. McCormack
Evert Jan Baerends
Erik van Lenthe
Nicholas C. Handy
Theoretical Chemistry Accounts, 2004, 112 : 410 - 418
[37] Improving numerical integration through basis set expansion
McCormack, DA
Baerends, EJ
van Lenthe, E
Handy, NC
THEORETICAL CHEMISTRY ACCOUNTS, 2004, 112 (5-6) : 410 - 418
[38] Improving tissue expansion protocols through computational modeling
Lee, Taeksang
Vaca, Elbert E.
Ledwon, Joanna K.
Bae, Hanah
Topczewska, Jolanta M.
Turin, Sergey Y.
Kuhl, Ellen
Gosain, Arun K.
Tepole, Adrian Buganza
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS, 2018, 82 : 224 - 234
[39] Compound Poisson and signed compound Poisson approximations to the Markov binomial law
Cekanavicius, V.
Vellaisamy, P.
BERNOULLI, 2010, 16 (04) : 1114 - 1136
[40] APPROXIMATIONS FOR OVERLAP EXPANSION - COMMENTS
NAKAZAWA, K
LETTERE AL NUOVO CIMENTO, 1974, 10 (17): : 784 - 788

← 1 2 3 4 5 →