Estimation of location and scale parameters in a two-parameter exponential distribution from a censored sample

Abstract

In this paper, we consider estimating the location and scale parameters in the two-parameter Exponential Distribution using a Type II censored sample. We derive the Modified Maximum Likelihood Estimators using the approach of Tiku and Suresh (1992) as the likelihood equations are intractable. We compare these estimators with other existing estimators, and also study their properties. We derive a test for testing the equality of the scale parameter