Approximation of inverse moments of discrete distributions

被引：0
|
作者：
Phillips, T. R. L. [1 ]
Zhigljavsky, A. [1 ]
机构：
[1] Cardiff Univ, Sch Math, Cardiff CF24 4AG, S Glam, Wales
来源：
STATISTICS & PROBABILITY LETTERS | 2014年 / 94卷
关键词：
Discrete distribution; Inverse moments; Stirling numbers of the first kind; Hypergeometric distribution; Negative binomial distribution; NEGATIVE MOMENTS;
D O I：
10.1016/j.spl.2014.07.007
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：
For a wide class of discrete distributions, we derive a representation of the inverse (negative) moments through the Stirling numbers of the first kind and inverse factorial moments. We specialize the results for the Poisson, binomial, hypergeometric and negative binomial distributions. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：135 / 143
页数：9
相关论文
共 50 条
  • [1] Accuracy of Approximation for Discrete Distributions
    Mori, Tamas F.
    JOURNAL OF PROBABILITY AND STATISTICS, 2016, 2016
  • [2] ON NEGATIVE MOMENTS OF CERTAIN DISCRETE DISTRIBUTIONS
    Anwar, Masood
    Ahmad, Munir
    PAKISTAN JOURNAL OF STATISTICS, 2009, 25 (02): : 135 - 140
  • [3] INVERSE MOMENTS OF NEGATIVE-BINOMIAL DISTRIBUTIONS
    JONES, MC
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1986, 23 (03) : 241 - 243
  • [4] APPROXIMATION OF THE INVERSE MOMENTS OF THE POSITIVE HYPERGEOMETRIC DISTRIBUTION
    HIDIROGLOU, MA
    COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1978, 7 (15): : 1475 - 1487
  • [5] SOME REMARKS ON THE MOMENTS OF DISCRETE-DISTRIBUTIONS
    CHARALAMBIDES, CA
    PAPAGEORGIOU, H
    AMERICAN STATISTICIAN, 1984, 38 (01): : 71 - 71
  • [6] Moments of Discrete Distributions via a Differential Operator
    Murat M.
    Szynal D.
    Journal of Mathematical Sciences, 2013, 191 (4) : 568 - 581
  • [7] On moments of discrete phase-type distributions
    Dayar, T
    FORMAL TECHNIQUES FOR COMPUTER SYSTEMS AND BUSINESS PROCESSES, PROCEEDINGS, 2005, 3670 : 51 - 63
  • [8] Moments of a class of discrete q-distributions
    Charalambides, CA
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2005, 135 (01) : 64 - 76
  • [9] ON THE MOMENTS OF ORDER STATISTICS FROM DISCRETE DISTRIBUTIONS
    Calik, Sinan
    Gungor, Mehmet
    Colak, Cemil
    PAKISTAN JOURNAL OF STATISTICS, 2010, 26 (02): : 417 - 426
  • [10] Asymptotic approximation of inverse moments of nonnegative random variables
    Wu, Tiee-Jian
    Shi, Xiaoping
    Miao, Baiqi
    STATISTICS & PROBABILITY LETTERS, 2009, 79 (11) : 1366 - 1371
12345