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Exact Inference for Laplace Quantile, Reliability,...
Journal article

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

Abstract

In this paper, we first present explicit expressions for the maximum likelihood estimates (MLEs) of the location, and scale parameters of the Laplace distribution based on a Type-II right censored sample under different cases. Then, after giving the exact density functions of the MLEs, and the expectations, we derive the exact density of the MLE of the quantile, and utilize it to develop exact confidence intervals for the population quantile. …

Authors

Zhu X; Balakrishnan N

Journal

IEEE Transactions on Reliability, Vol. 65, No. 1, pp. 164–178

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Publication Date

March 1, 2016

DOI

10.1109/tr.2015.2451617

ISSN

0018-9529