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Volume 14, Issue 3, September 2015, Pages 324 - 349
Estimation of the Parameters of a Bivariate Geometric Distribution
Authors
U.J. Dixit, S. Annapurna
Corresponding Author
U.J. Dixit
Received 22 August 2014, Accepted 14 May 2015, Available Online 1 September 2015.
- DOI
- 10.2991/jsta.2015.14.3.8How to use a DOI?
- Keywords
- Bivariate Geometric Distribution, Maximum Likelihood Estimators,Uniformly Minimum Variance Unbiased Estimators,Reliability Functions, cricket.
- Abstract
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.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - U.J. Dixit AU - S. Annapurna PY - 2015 DA - 2015/09/01 TI - Estimation of the Parameters of a Bivariate Geometric Distribution JO - Journal of Statistical Theory and Applications SP - 324 EP - 349 VL - 14 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2015.14.3.8 DO - 10.2991/jsta.2015.14.3.8 ID - Dixit2015 ER -