Discrete Length and Area Biased Exponential Distribution
Nuri Celik *
Department of Mathematics, Gebze Technical University, Turkey.
*Author to whom correspondence should be addressed.
Abstract
The preference of the proper distribution for modelling data is often a substantial concern to researchers and practitioners. For this reason, new statistical distributions or the generalizations of well-known distributions have been proposed for exible modeling. Weighted distributions are one of the generalization methods for these distributions. In this article, we proposed e new discrete distribution which takes length and area biased exponential distributions as an underlying distribution. Main statistical properties of these proposed distributions are obtained and real-life examples which have been used in literature are used for illustration of these distributions.
Keywords: Exponential distribution, length-biased exponential distribution, area-biased exponential distribution