A Two-Parameter Power Garima Distribution with Properties and Applications

Abstract

Shanker [1] has discussed some of its statistical properties including shapes for varying values of parameter, moments, skewness, kurtosis, hazard rate function, mean residual life function, stochastic ordering, mean deviations, order statistics, Bonferroni and Lorenz curves, entropy measure and stressstrength reliability. The condition under which Garima distribution is over-dispersed, equi-dispersed, and under-dispersed has been also discussed along other one parameter lifetime distributions. Maximum likelihood estimation and method of moments have been discussed for estimating its parameter. An application of Garima distribution for modeling life time data from behavioral science has been also discussed in Shanker [1]. Shanker [2] has also introduced discrete Poisson-Garima distribution and discussed its statistical properties, estimation of parameter and applications. Shanker & Shukla [3,4] have studied size-biased Poisson-Garima distribution and Zero-truncated Poisson-Garima distribution.