A queueing theoretical proof of increasing property of Polya frequency functions

Hans Daduna and Ryszard Szekli

Statistics & Probability Letters, 1996, vol. 26, issue 3, 233-242

Abstract: Let X1,...,Xn be independent random variables with PF2 densities and [phi] an increasing function. Then E([phi](X1,...,Xn) [Sigma]i=1n X1 = s) is increasing in s, almost surely (Efron, 1965). We put this theorem into the context of queueing theory and provide an elementary proof for non-negative random variables.

Keywords: Polya; frequency; functions; Queueing; networks; Negative; association; Product-form; equilibrium (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (3)

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