Characterization and estimation of the length biased Nakagami distribution

Sofi Mudasir Ahad, Sheikh Parvaiz Ahmad

Abstract


In this paper, we introduce the length biased form of the Nakagami distribution known as length biased Nakagami distribution (LBND). Some properties of this model were studied such as the moments, reliability function, and the hazard rate function. Maximum likelihood and Bayes estimates of the scale parameter are derived. Also the Posterior risks under different loss functions are obtained. The results are applied on the data regarding the life test of 59 conductors.

Keywords


Length biased Nakagami distribution, moments, maximum likelihood estimates, Bayesian estimates, posterior risk.

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DOI: http://dx.doi.org/10.18187/pjsor.v14i3.1930

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Title

Characterization and estimation of the length biased Nakagami distribution

Keywords

Length biased Nakagami distribution, moments, maximum likelihood estimates, Bayesian estimates, posterior risk.

Description

In this paper, we introduce the length biased form of the Nakagami distribution known as length biased Nakagami distribution (LBND). Some properties of this model were studied such as the moments, reliability function, and the hazard rate function. Maximum likelihood and Bayes estimates of the scale parameter are derived. Also the Posterior risks under different loss functions are obtained. The results are applied on the data regarding the life test of 59 conductors.

Date

2018-09-22

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 14 No. 3, 2018



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810