Estimation of the Parameters of the Power Size Biased Chris-Jerry Distribution
Chidera F. Innocent, Omoruyi A. Frederick, Edidiong M. Udofia, Okechukwu J. Obulezi, Chinyere P. Igbokwe
Abstract
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.