Title: Some concept of Markov property of discrete order statistics arising from independent and non-identically distributed variables
Abstract: Let X1:n≤⋯≤Xn:n be order statistics related to independent, identically distributed discrete X1,…,Xn. The sequence (Xi:n,T˜i)i=1n exhibits Markovian property, where T˜i=#{j≤i:Xj:n=Xi:n}. We extend this result by considering order statistics from independent and not necessarily identically distributed discrete random variables.
Publication Year: 2020
Publication Date: 2020-02-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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