On robust estimation of the common scale parameter of several Pareto distributions

Abstract

The problem of robust estimation of the common scale parameter of several Pareto distributions with unknown and possibly unequal shape parameters is considered. In this paper, a wide class of estimators dominating the maximum likelihood estimator (MLE) is derived under a class of convex loss functions. The problem discussed in this paper arises quite frequently in socio-economics, reliability, life testing, and survival analysis.Pareto distribution Common scale parameter Convex loss function