Analysis of long-tailed count data by Poisson mixtures

被引：33
|
作者：
Gupta, RC [1 ]
Ong, SH
机构：
[1] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA
[2] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2005年 / 34卷 / 03期
关键词：
data fitting; empirical modeling; generalizations of the gamma; mixing distribution; over dispersion; tail length and behavior;
D O I：
10.1081/STA-200052144
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 article deals with various mixed Poisson distributions in order to analyze count data characterized by their long tails and over dispersion when the Poisson distribution and negative binomial distribution are found to be inadequate. Several mixed Poisson distributions are presented and their structural properties are investigated. Three well-known data sets, having long tails, are analyzed and the results of fitting by various models are provided.
引用
收藏
页码：557 / 573
页数：17
相关论文
共 50 条
  • [41] MYSTERY PHOTOGRAPHS - LONG-TAILED DUCK
    OGILVIE, MA
    [J]. BRITISH BIRDS, 1982, 75 (01): : 30 - 32
  • [42] Seed dispersal by long-tailed macaques
    Lucas, PW
    Corlett, RT
    [J]. AMERICAN JOURNAL OF PRIMATOLOGY, 1998, 45 (01) : 29 - 44
  • [43] DEVELOPMENT OF THE BACULUM OF THE LONG-TAILED WEASEL
    WRIGHT, PL
    [J]. PROCEEDINGS OF THE SOCIETY FOR EXPERIMENTAL BIOLOGY AND MEDICINE, 1950, 75 (03): : 820 - 822
  • [44] A Survey on Long-Tailed Visual Recognition
    Yang, Lu
    Jiang, He
    Song, Qing
    Guo, Jun
    [J]. INTERNATIONAL JOURNAL OF COMPUTER VISION, 2022, 130 (07) : 1837 - 1872
  • [45] Multimodal Framework for Long-Tailed Recognition
    Chen, Jian
    Zhao, Jianyin
    Gu, Jiaojiao
    Qin, Yufeng
    Ji, Hong
    [J]. Applied Sciences (Switzerland), 2024, 14 (22):
  • [46] Improving Calibration for Long-Tailed Recognition
    Zhong, Zhisheng
    Cui, Jiequan
    Liu, Shu
    Jia, Jiaya
    [J]. 2021 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, CVPR 2021, 2021, : 16484 - 16493
  • [47] A Survey on Long-Tailed Visual Recognition
    Lu Yang
    He Jiang
    Qing Song
    Jun Guo
    [J]. International Journal of Computer Vision, 2022, 130 : 1837 - 1872
  • [48] Evidence for long-tailed distributions in the Internet
    Downey, AB
    [J]. IMW 2001: PROCEEDINGS OF THE FIRST ACM SIGCOMM INTERNET MEASUREMENT WORKSHOP, 2001, : 229 - 241
  • [49] HARMONICS AND INTERMODULATION IN THE LONG-TAILED PAIR
    ABUELMAATTI, MT
    [J]. ELECTRONICS & WIRELESS WORLD, 1988, 94 (1624): : 190 - 191
  • [50] Long-Tailed Question Answering in an OpenWorld
    Dai, Yi
    Lang, Hao
    Zheng, Yinhe
    Huang, Fei
    Li, Yongbin
    [J]. PROCEEDINGS OF THE 61ST ANNUAL MEETING OF THE ASSOCIATION FOR COMPUTATIONAL LINGUISTICS, ACL 2023, VOL 1, 2023, : 6362 - 6382
12345