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
  • [1] On goodness-of-fit tests for the Bell distribution
    Batsidis, Apostolos
    Jimenez-Gamero, Maria Dolores
    Lemonte, Artur J.
    [J]. METRIKA, 2020, 83 (03) : 297 - 319
  • [2] Goodness-of-fit tests for the Gompertz distribution
    Lenart, Adam
    Missov, Trifon I.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (10) : 2920 - 2937
  • [3] Goodness-of-fit tests for Pareto distribution
    Gulati, Sneh
    Shapiro, Samuel
    [J]. STATISTICAL MODELS AND METHODS FOR BIOMEDICAL AND TECHNICAL SYSTEMS, 2008, : 259 - 274
  • [4] On the conditional distribution of goodness-of-fit tests
    O'Reilly, F
    Gracia-Medrano, L
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (03) : 541 - 549
  • [5] Goodness-of-fit tests for the hyperbolic distribution
    Puig, P
    Stephens, MA
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2001, 29 (02): : 309 - 320
  • [6] Tests for the goodness-of-fit of the Laplace distribution
    Chen, C
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2002, 31 (01) : 159 - 174
  • [7] Goodness-of-fit tests for the Cauchy distribution
    Onen, BH
    Dietz, DC
    Yen, VC
    Moore, AH
    [J]. COMPUTATIONAL STATISTICS, 2001, 16 (01) : 97 - 107
  • [8] Goodness-of-fit tests for the Cauchy distribution
    Bora H. Onen
    Dennis C. Dietz
    Vincent C. Yen
    Albert H. Moore
    [J]. Computational Statistics, 2001, 16 : 97 - 107
  • [9] Goodness-of-fit tests for a heavy tailed distribution
    Koning, Alex J.
    Peng, Liang
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (12) : 3960 - 3981
  • [10] On Goodness-of-Fit Tests for the Neyman Type A Distribution
    Batsidis, Apostolos
    Lemonte, Artur J.
    [J]. REVSTAT-STATISTICAL JOURNAL, 2023, 21 (02) : 143 - 171