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

Abstract

There are many situations where experimental outcomes are a sequence of recordbreaking 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.

Predicting observables from Weibull model based on general progressive censored data with asymmetric loss

“…Recently, many authors consider asymmetric loss functions in reliability and quality control, such as [2,11,27,28].…”

Prediction intervals for future records and order statistics coming from two parameter exponential distribution

“…Several authors have studied the subject of predicting future records on the basis of observed records from the same distribution. See for example, Ahsanullah (1980), Dunsmore (1983), Awad and Raqab, Mohammad (2000), Ali Mousa et al (2002), Ahmadi et al (2005), Ahmadi and Doostparast (2006), Raqab (in press), Raqab and Balakrishnan (2008), Ahmadi et al (in press) and the references therein. Thus, so far, researchers have considered prediction of records based on records and prediction of order statistics based on order statistics.…”

On Bayesian estimation from exponential distribution based on records

“…There are also some papers on estimation and prediction for exponential parameters based on record and censored samples. See for example Balasubramanian and Balakrishnan (1992), Chandrasekar, Leo Alexander, and Balakrishnan (2002), Jaheen (2004), and Ahmadi, Doostparast, and Parsian (2005) and references therein.…”