Inference on exponentiated power Lindley distribution based on order statistics with application
Exponentiated power Lindley distribution is proposed as a generalization of some widely well-known distributions such as Lindley, power Lindley and generalized Lindley distributions. In this paper, the exact explicit expressions for moments of order statistics from the exponentiated power Lindley distribution are derived. By using these relations, the best linear unbiased estimates of the location and scale parameters, based on Type-II right-censored sample, are obtained. Next, the mean, variance, coefficients of skewness and kurtosis of some certain linear function of order statistics are calculated and then used to derive the approximate confidence interval for the location and scale parameters using the Edgeworth approximation. Finally, Some numerical illustrations and two real data applications are presented.
In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the…
Exponentiated power Lindley distribution is proposed as a generalization of some widely well-known distributions such as Lindley, power Lindley and generalized Lindley distributions. In this paper…
In this article, we proposed a new four-parameter distribution called beta Erlang truncated exponential distribution (BETE). Some important mathematical and statistical properties of the proposed…