The MLE of the mean of the exponential distribution based on grouped data is stochastically increasing

DOI10.1016/J.SPL.2015.12.029zbMath1334.60013OpenAlexW2224324045MaRDI QIDQ273831

Piotr Bolesław Nowak

Publication date: 22 April 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.12.029

zbMATH Keywords

exponential distributionfixed-point theoremusual stochastic ordergrouping

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Point estimation (62F10)

Cites Work

• Unnamed Item
• Stochastic monotonicity of the MLE of exponential mean under different censoring schemes
• Stochastic orders
• Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
• MLE are stochastically increasing if likelihoods are unimodal
• Stochastic order and MLE of the mean of the exponential distribution
• Some function classes related to the class of convex functions
• Order-preserving property of maximum likelihood estimator

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