Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation

被引：0
作者：
Elsayed A. H. Elamir
机构：
[1] University of Bahrain,Department of Mathematics and Statistics, Faculty of Commerce, Benha University, Egypt & Management and Marketing Department, College of Business
来源：
Journal of Statistical Theory and Applications | 2013年 / 12卷 / 1期
关键词：
binomial distribution; likelihood ratio test; over-dispersion; profile likelihood; zero-inflated data;
D O I：
10.2991/jsta.2013.12.1.8
中图分类号：
学科分类号：
摘要：
Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion, and under-dispersion relative to the standard binomial distribution. It will be shown that the multiplicative-binomial distribution can be a very useful model for these situations. Moreover, the confidence interval for the parameters of the multiplicative-binomial distribution is investigated by the profile likelihood methods. The first four moments and simulation procedures for generating data from the multiplicative-binomial distribution using R-software are given. By using four applications to simulated and real data it is shown that the multiplicative-binomial distribution is the same as or outperforming the standard binomial and beta-binomial distributions.
引用
收藏
页码：92 / 105
页数：13
相关论文
共 11 条
  • [1] Altham P(1978)Two generalizations of the binomial distribution Applied Statistics 27 162-167
  • [2] Banik S(2009)On some discrete distributions and their applications with real life data Journal of Modern Applied Statistical Methods 8 423-447
  • [3] Kibria BMG(1995)A saturated model for analyzing exchangeable binary data: application to clinical and development toxicity studies Journal of American Statistical Association 90 871-879
  • [4] Bowman D(1972)The analysis of multivariate binary data Applied Statistics 21 113-120
  • [5] George EO(2010)Estimation of log-linear binomial distribution with applications Journal of Probability and Statistics 10 1-13
  • [6] Cox DR(2006)Applications of some discrete regression models for count data Pakistan Journal of Statistics and Operation Research 2 1-16
  • [7] Habib EA(1992)Zero-inflated Poisson regression, with application to defects in manufacturing Technometrics 34 1-14
  • [8] Kibria BMG(1988)A Method for computing profile-likelihood-based confidence intervals Applied Statistics 37 87-94
  • [9] Lambert D(undefined)undefined undefined undefined undefined-undefined
  • [10] Venzon DJ(undefined)undefined undefined undefined undefined-undefined
12