Bias-reduced and heuristics parameter estimations for the inverse power Lindley distribution

Abstract

ABSTRACT This paper deals with the improved point estimations of the inverse power Lindley distribution. The maximum likelihood estimation method, and a simulated annealing algorithm, a heuristic alternative method, are considered. The bias-corrected estimation methods are also used to evaluate the bias reduction of the estimates. These bias-corrected estimates are obtained with theoretical and bootstrap methods. The performances of the estimators are evaluated with simulation studies and two real-data examples.