Applications of Likelihood-Based Methods for the Reliability Parameter of the Location and Scale Exponential Distribution

Based on a type-2 censored sample we consider a likelihood-based inference for the reliability parameter R(t) of the location and scale exponential distribution.More specifically, we derive the profile and marginal likelihoods of R(t).A numerical example is presented demonstrating the flavor of results that can be obtained by likelihood-based methods. Keywords: testing; statistical methods; distribution; maximum likelihood; reliability;