Characterization and Estimation of Length Biased Weighted Generalized Uniform Distribution

A. A. Rather¹ , C. Subramanian²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.72-76, Oct-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.7276

Online published on Oct 31, 2018

Copyright © A. A. Rather , C. Subramanian . 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 :
In this paper, we proposed a new probability model called as the length biased weighted generalized uniform distribution (LBWGUD) and discussed its various statistical properties. The probability density function, moments, hazard rate function, reverse hazard rate function and survival function have been derived. The maximum likelihood method has been used to estimate the parameter and their asymptotics have been discussed.

Key-Words / Index Term :
Weighted distribution, Moments, Reliability Analysis, Order Statistics, Maximum Likelihood Estimation, Fisher’s information matrix

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