Stochastic monotonicity of MLEs of the mean for exponentially distributed lifetimes under hybrid censoring

Thomas van Bentum and Erhard Cramer

Statistics & Probability Letters, 2019, vol. 148, issue C, 1-8

Abstract: A generalized Three Monotonicities Lemma is established. Assuming exponentially distributed lifetimes, it is used to prove the stochastic monotonicity of the MLE of the mean under various hybrid censoring schemes where it had been conjectured but remained unproven so far.

Keywords: Progressive censoring; (Generalized) hybrid censoring; Usual stochastic order; Likelihood ratio order; Stochastic monotonicity; Exponential distribution (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spl.2018.12.006

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