This paper extends the one-parameter ChrisJerry distribution to the power size biased Chris-Jerry
distribution, a lifetime distribution in the class of the
Lindley distribution. We derive the r
th moment and
particularly estimated the parameters using six classical
methods and the Bayesian method. Results of the two
real data analyses show that the proposed PSBCJ
distribution is better than the likes of Marshall-Olkin
Sujatha (MOS) distribution, Two-Parameter Lindley
(TPL) distribution, Kumaraswamy-Weibull (KW)
distribution, ZubairExponential (ZE) distribution,
Lindley Distribution (LD), Exponential Distribution
(ED), Pareto (P) distribution, Lindley-Lomax (LL)
distribution and Lindley-Pareto (LP) distribution. The
weighted least squares is the best method for estimating
the parameters of the proposed distribution since the
standard errors are the least among other methods.
Keywords :
Chris-Jerry Distribution, Power Size Biased Chris-Jerry Distribution, Classical Estimation, Bayesian Estimation.