Reliability estimation and tolerance limits for Laplace distribution based on censored samples

In this paper, we first present an estimator for the reliability function based on the best linear unbiased estimators (BLUEs) of the location and scale parameters, μ and σ, for the Laplace distribution based on Type-II censored samples. We show that this estimator is almost unbiased at varying levels of reliability. Next, we determine through Monte Carlo simulations the values of the tolerance factor tγ that are necessary for the construction of lower and upper tolerance limits for the distribution. We also illustrate how these tables for tolerance limits could be used to determine lower confidence limits for the reliability. Finally, we present an example to illustrate the methods of inference developed in this paper.