A CLASS OF DISCRETE-DISTRIBUTIONS SUITED TO FITTING VERY LONG-TAILED DATA

被引：9

作者：

ONG, SH ^{[1
]}

MUTHALOO, S ^{[1
]}

机构：

[1] UNIV MALAYA,DEPT MATH,KUALA LUMPUR 59100,MALAYSIA

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 1995年 / 24卷 / 04期

关键词：

FULL BETA MODEL; CONFLUENT HYPERGEOMETRIC FUNCTION OF THE 2ND KIND; GENERALIZED LOG-SERIES; MIXED POISSON; 3-TERM RECURRENCE; STABILITY IN THE BACKWARD DIRECTION; DISCRIMINATION; COMPUTATION; MAXIMUM LIKELIHOOD; GOODNESS-OF-FIT;

D O I：

10.1080/03610919508813285

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：

This paper proposes a mixed Poisson distribution which has a very long tail and also examines the full beta model of Kempton (Biometrika, 1975). The proposed distribution has a three-term probability recurrence relation that is stable in the backward direction, which is computationally desirable. The flexibility of the distribution to fit very long-tailed data is examined. The computation of probabilities is discussed and a numerical example is given.

引用

页码：929 / 945

页数：17

共 50 条

[31] CONFIDENCE-INTERVAL ROBUSTNESS WITH LONG-TAILED SYMMETRIC DISTRIBUTIONS
GROSS, AM
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (354) : 409 - 416
[32] Flexible parametric models for long-tailed patent count distributions
Guo, JQ
Trivedi, PK
OXFORD BULLETIN OF ECONOMICS AND STATISTICS, 2002, 64 (01) : 63 - 82
[33] Small-world networks: Links with long-tailed distributions
Jespersen, S
Blumen, A
PHYSICAL REVIEW E, 2000, 62 (05): : 6270 - 6274
[34] Convolution and convolution-root properties of long-tailed distributions
Xu, Hui
Foss, Sergey
Wang, Yuebao
EXTREMES, 2015, 18 (04) : 605 - 628
[35] Convolution and convolution-root properties of long-tailed distributions
Hui Xu
Sergey Foss
Yuebao Wang
Extremes, 2015, 18 : 605 - 628
[36] DATA-RANDOMIZED CONFIDENCE-INTERVALS FOR DISCRETE-DISTRIBUTIONS
KORN, EL
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1987, 16 (03) : 705 - 715
[37] A federated learning method based on class prototype guided classifier for long-tailed data
Li, Yang
Liu, Xin
Li, Kan
SIGNAL IMAGE AND VIDEO PROCESSING, 2024, 18 (12) : 8999 - 9007
[38] Distributions of Birkeland Current Density Observed by AMPERE are Heavy-Tailed or Long-Tailed
Coxon, John C.
Chisham, Gareth
Freeman, Mervyn P.
Anderson, Brian J.
Fear, Robert C.
JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 2022, 127 (02)
[39] Semi-Discrete Optimal Transport for Long-Tailed Classification
Jin, Lian-Bao
Lei, Na
Luo, Zhong-Xuan
Wu, Jin
Ai, Chao
Gu, Xianfeng
JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY, 2025, 40 (01) : 252 - 266
[40] A NEW CLASS OF LONG-TAILED PAUSING TIME DENSITIES FOR THE CTRW
HAVLIN, S
WEISS, GH
JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (5-6) : 1267 - 1273

← 1 2 3 4 5 →