Bayes Estimation of Parameter in Inverse Maxwell Distribution under Weighted Quadratic Loss Function

A. Loganathan¹ , S. Mari Chelvi² , M. Uma³

1. Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India.
2. Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India.
3. Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India.

Correspondence should be addressed to: aln_24@rediffmail.com.

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.5 , pp.13-16, Oct-2017

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i5.1316

Online published on Oct 30, 2017

Copyright © A. Loganathan, S. Mari Chelvi, M. Uma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The inverse Maxwell distribution is the probability distribution of the reciprocal of the Maxwell random variable. This distribution has applications in reliability and life testing. In this paper, Bayes estimator of the parameter in the inverse Maxwell distribution is derived employing Jeffreys non-informative prior under weighted quadratic loss function. The Bayes estimator in this case is the minimax estimator. Efficiency of the Bayes estimator is compared with the maximum likelihood estimator. Application of the inverse Maxwell distribution to a real life situation is also studied.

Key-Words / Index Term :
Bayes estimator, Inverse Maxwell distribution, Jeffreys prior, Maximum likelihood estimator

References :
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