Estimation of the scale parameter of gamma model in presence of outlier observations

Abstract

This paper considers the Bayesian point estimation of the scale parameter for a two-parameter gamma life-testing model in presence of several outlier observations in the data. The Bayesian analysis is carried out under the assumption of squared error loss function and fixed or random shape parameter.

Keywords

• scale parameter
• gamma distribution
• squared error loss function
• noninformative prior
• Bayes estimate
• incomplete gamma function
• modified Bessel function of the third kind.