New Proposed Length-Biased Weighted Exponential and Rayleigh Distribution with Application

Abstract

The concept of length-biased distribution can be employed in development of proper models for lifetime data. Length-biased distribution is a special case of the more general form known as weighted distribution. In this paper we introduce  a new class of length-biased of weighted exponential and Rayleigh distributions(LBW₁E₁D), (LBWRD).This paper surveys some of the possible uses of Length - biased distribution  We study the some of its statistical properties with application of these new distribution.

Keywords: length- biased weighted Rayleigh distribution, length- biased weighted exponential distribution,  maximum likelihood estimation.