Size-Biased Poisson-New Linear-Exponential Distribution

Abstract

To construct this distribution, the size-biased Poisson distribution has been mixed with size-biased Linear-exponential distribution (LED) of Sah (2022). It can also be obtained by size biasing Poisson-New Linear-exponential distribution (PNLED) of Sah and Sahani (2024). The required characteristics of this distribution such as probability mass function (pmf), statistical moments, estimation of parameters have been derived and discussed in systematic manner. Chi-square goodness-of -fit test has been applied to some over-dispersed secondary count data-seta which were early used by others.