A Bayesian Estimate of the Non-Centralitiy Parameter of a Non-Central X2 Variate
Ashour, S. (1980). A Bayesian Estimate of the Non-Centralitiy Parameter of a Non-Central X2 Variate. EKB Journal Management System, 24(2), 130-139. doi: 10.21608/esju.1980.428380
S.K. Ashour. "A Bayesian Estimate of the Non-Centralitiy Parameter of a Non-Central X2 Variate". EKB Journal Management System, 24, 2, 1980, 130-139. doi: 10.21608/esju.1980.428380
Ashour, S. (1980). 'A Bayesian Estimate of the Non-Centralitiy Parameter of a Non-Central X2 Variate', EKB Journal Management System, 24(2), pp. 130-139. doi: 10.21608/esju.1980.428380
Ashour, S. A Bayesian Estimate of the Non-Centralitiy Parameter of a Non-Central X2 Variate. EKB Journal Management System, 1980; 24(2): 130-139. doi: 10.21608/esju.1980.428380

A Bayesian Estimate of the Non-Centralitiy Parameter of a Non-Central X2 Variate

The Egyptian Statistical Journal
Article 8, Volume 24, Issue 2, December 1980, Pages 130-139    PDF (4.37 M)
Document Type: Original Article
DOI: 10.21608/esju.1980.428380
Author
S.K. Ashour
Institute of Statistical Studies & Research, Cairo University, Egypt
Abstract
The density function of a non-central chi-square depends I two pavamoters,the degrees of freedom v and the non-contra-Ay parameter A. If v is known, the maximum likelihood estim-xr and approximate interval estimators for X have been obtain-$. In the present paper a Reyes' estimate of X and its Reyes' isk have been derived. In the case of informative prior, hie new estimator of A has been expressed as a solution of an quation involving ratio of two infinite series. For specific liora compact forms for the new estimator have been obtained. I numerical example will be used to illustrate the procedure. 
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