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Unimodality of the Distribution of an Order Statistic

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Publication:5664682
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DOI10.1214/aoms/1177690881zbMath0251.62031OpenAlexW2068458289MaRDI QIDQ5664682

Khursheed Alam

Publication date: 1972

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177690881



Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)


Related Items

Unimodality of the distribution of record statistics ⋮ Strong unimodality of discrete order statistics ⋮ Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators ⋮ Discrete strong unimodality of order statistics ⋮ Bounds for joint probabilities of multistate systems using preservation of log‐concavity ⋮ Some new results on unimodality of generalized order statistics and their spacings ⋮ Reconstruction of the past lower record values in a proportional reversed hazard rate model ⋮ Logconcavity and unimodality of progressively censored order statistics ⋮ On unimodality of the lifetime distribution of coherent systems with failure-dependent component lifetimes ⋮ SOME CONVEXITY PROPERTIES OF THE DISTRIBUTION OF LOWER k-RECORD VALUES WITH EXTENSIONS



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