Characterizations of the exponential distribution by Pascal compound

Maria Iwińska and Magdalena Szymkowiak

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 1, 63-70

Abstract: Under the reliability conditions NBU/NWU or IFRA/DFRA, the exponential distribution is characterized by stochastic ordering properties and by increasing convex ordering properties which link the Pascal compound with record values, spacing between record values and record values with a random index.

Date: 2016
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DOI: 10.1080/03610926.2013.818699

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