Discrete strong unimodality of order statistics

DOI10.1016/j.spl.2015.04.019zbMath1328.62282OpenAlexW2023663951WikidataQ59180008 ScholiaQ59180008MaRDI QIDQ893982

Mohammad Hossein Alamatsaz, Mahdi Alimohammadi, Erhard Cramer

Publication date: 23 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.04.019

zbMATH Keywords

total positivityunimodalityIFR (DFR)discrete order statisticslogconcavityDRHR (IRHR)

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Related Items (4)

Strong unimodality of discrete order statistics ⋮ On dispersive and star orderings of random variables and order statistics ⋮ Some new results on likelihood ratio ordering and aging properties of generalized order statistics ⋮ Ultra log-concavity of discrete order statistics

Cites Work

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• The art of progressive censoring. Applications to reliability and quality
• Some new results on unimodality of generalized order statistics and their spacings
• Stochastic orders
• Log-concavity of generalized order statistics
• On the monotonic properties of discrete failure rates
• On stochastic properties of \(m\)-spacings
• A comment on `Unimodality of the distribution of record statistics'.
• Unimodality of the distribution of record statistics
• Logconcavity and unimodality of progressively censored order statistics
• Unimodality of uniform generalized order statistics, with applications to mean bounds
• A concept of generalized order statistics
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• SOME CONVEXITY PROPERTIES OF THE DISTRIBUTION OF LOWER k-RECORD VALUES WITH EXTENSIONS
• Order statistics from discrete distributions
• Order Statistics from Discrete Distributions
• A Note on Strong Unimodality of Order Statistics
• Preservation of log-concavity on summation
• A First Course in Order Statistics
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• Some Results for Discrete Unimodality
• Unimodality of the Distribution of an Order Statistic
• Univariate Discrete Distributions

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