Exact Inference for Laplace Quantile, Reliability, and Cumulative Hazard Functions Based on Type-II Censored Data


In this paper, we tend to first present specific expressions for the utmost probability estimates (MLEs) of the location, and scale parameters of the Laplace distribution primarily based on a Type-II right censored sample below different cases. Then, once giving the exact density functions of the MLEs, and also the expectations, we derive the precise density of the MLE of the quantile, and utilize it to develop precise confidence intervals for the population quantile. We also briefly discuss the MLEs of reliability and cumulative hazard functions, and the way to develop actual confidence intervals for these functions. These results will also be extended to any linear estimators. Finally, we tend to present two examples to illustrate the inferential methods developed here.

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