On goodness-of-fit tests for the Bell distribution

被引：0
|
作者：
Apostolos Batsidis
María Dolores Jiménez-Gamero
Artur J. Lemonte
机构：
[1] University of Ioannina,Department of Mathematics
[2] Universidad de Sevilla,Departamento de Estadística e Investigación Operativa
[3] Universidade Federal do Rio Grande do Norte,Departamento de Estatística
来源：
Metrika | 2020年 / 83卷
关键词：
Count data; Goodness-of-fit tests; Parametric bootstrap; Empirical probability generating function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The one-parameter Bell family of distributions, introduced by Castellares et al. (Appl Math Model 56:172–185, 2018), is useful for modeling count data. This paper proposes and studies a goodness-of-fit test for this distribution, which is consistent against fixed alternatives. The finite sample performance of the proposed test is investigated by means of several Monte Carlo simulation experiments, and it is also compared with other related ones. Real data applications are considered for illustrative purposes.
引用
收藏
页码：297 / 319
页数：22
相关论文
共 50 条
  • [31] Analogues of Classical Goodness-of-Fit Tests for Distribution Tails
    Kantonistova, E. O.
    Rodionov, I., V
    [J]. DOKLADY MATHEMATICS, 2021, 103 (01) : 35 - 38
  • [32] Some New Goodness-of-fit Tests for Rayleigh Distribution
    Jahanshahi, S. M. A.
    Habibirad, A.
    Fakoor, V
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2020, 16 (02) : 305 - 315
  • [33] Goodness-of-Fit Tests on Manifolds
    Shapiro, Alexander
    Xie, Yao
    Zhang, Rui
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (04) : 2539 - 2553
  • [34] Tuning goodness-of-fit tests
    Arrasmith, A.
    Follin, B.
    Anderes, E.
    Knox, L.
    [J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2019, 484 (02) : 1889 - 1898
  • [35] MULTINOMIAL GOODNESS-OF-FIT TESTS
    CRESSIE, N
    READ, TRC
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1984, 46 (03): : 440 - 464
  • [36] Goodness-of-fit tests for generalized logarithmic series distribution
    Famoye, F
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2000, 33 (01) : 59 - 67
  • [37] Analogues of Classical Goodness-of-Fit Tests for Distribution Tails
    E. O. Kantonistova
    I. V. Rodionov
    [J]. Doklady Mathematics, 2021, 103 : 35 - 38
  • [38] Goodness-of-Fit Tests Based on a Characterization of Logistic Distribution
    Ya. Yu. Nikitin
    I. A. Ragozin
    [J]. Vestnik St. Petersburg University, Mathematics, 2019, 52 : 169 - 177
  • [39] Goodness-of-fit tests for the skew-normal distribution
    Gupta, AK
    Chen, TH
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2001, 30 (04) : 907 - 930
  • [40] MULTIVARIATE GOODNESS-OF-FIT TESTS
    ROSENBLATT, J
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (02): : 807 - &
12345