Main Article Content

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.

Article Details

Author Biography

Sofi Mudasir Ahad, university of kashmir, india,srinagar

Department of statistics
How to Cite
Ahad, S. M., & Ahmad, S. P. (2018). Characterization and estimation of the length biased Nakagami distribution. Pakistan Journal of Statistics and Operation Research, 14(3), 697-715. https://doi.org/10.18187/pjsor.v14i3.1930