Estimation of the Parameters of a Bivariate Geometric Distribution

被引：0
作者：
U. J. Dixit
S. Annapurna
机构：
[1] University of Mumbai,Department of Statistics
来源：
Journal of Statistical Theory and Applications | 2015年 / 14卷 / 3期
关键词：
Bivariate Geometric Distribution; Maximum Likelihood Estimators; Uniformly Minimum Variance Unbiased Estimators; Reliability Functions; cricket;
D O I：
10.2991/jsta.2015.14.3.8
中图分类号：
学科分类号：
摘要：
The uniformly minimum variance unbiased estimators (UMVUE) of the parameters and reliability functions of a bivariate geometric distribution(BGD) have been derived.The exact variances of the maximum likelihood estimator (MLE) and of UMVUE have been derived and the corresponding mean square errors have been compared.It is found that in some cases UMVUE is better and in some cases MLE is better with respect to the mean square errors. In the final section an example of actual data from the game Cricket’s Indian Premium League 2014 (IPL 2014) has been given.
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页码：324 / 349
页数：25
相关论文
共 5 条
  • [1] Krishna H(2009)A Bivariate Geometric Distribution with Applications to Reliability Commun.Statist Theor. Meth. 38 1079-1093
  • [2] Pundir PS(1981)Some characterizations of a Bivariate Geometric Distributions Journal Indian Statistical Association 19 141-146
  • [3] Phatak AG(1970)Bivariate Exponential Distribution in Reliability Theory JRSS B 32 408-417
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