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Structure of discrete order statistics

Name: Structure of discrete order statistics
Creator: Haikady N. Nagaraja
Keywords: order statistics, 0502 economics and business, 05 social sciences, Order statistics; empirical distribution functions, Markov property, Exact distribution theory in statistics, Probability distributions: general theory, conditional probability, 0101 mathematics, discrete random variables

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986Publisher:Elsevier BVJournal:Journal of Statistical Planning and Inference, volume 13, pages 165-177 (issn: 0378-3758,

Authors: Haikady N. Nagaraja;

doi: 10.1016/0378-3758(86)90130-8

Structure of discrete order statistics

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Abstract

X\({}_ 1,...,X_ n\) are independent and identically distributed discrete random variables, the common distribution having at least three points in its support. \(Y_ 1\leq Y_ 2\leq...\leq Y_ n\) denote the ordered values of \(X_ 1,X_ 2,...,X_ n\). Define the event \(A_{k,m}\) as \(\{Y_ k=a_ k,Y_{k+1}=a_{k+1},...,Y_ m=a_ m\}\) for \(1\leq k\leq m\leq n.\) A formula for \(P(A_{i+1,j}| A_{h,i})\) for \(1\leq h\leq i

Related Organizations

The Ohio State University
United States
The Ohio State University at Marion
United States

Keywords

order statistics, Order statistics; empirical distribution functions, Markov property, Exact distribution theory in statistics, Probability distributions: general theory, conditional probability, discrete random variables

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