Estimation and Prediction in a Two-Parameter Exponential Distribution Based on k-Record Values under LINEX Loss Function

Abstract

ABSTRACT There are many situations where experimental outcomes are a sequence of record-breaking observations. In this article, Bayesian estimation for the two parameters of the exponential distribution are obtained based on k-record values under Linear-Exponential LINEX loss function. The admissibility of some estimators are discussed. Prediction, either point or interval, for future k-record values are also presented from a Bayesian view point. Numerical computations are given for an empirical comparison.