Decreasing in transposition property of overlapping sums, and applications

M. Hollander, F. Proschan and J. Sethuraman

Journal of Multivariate Analysis, 1981, vol. 11, issue 1, 50-57

Abstract: In this paper a large class of multivariate densities and frequency functions, including the multivariate Poisson distribution and the compound multivariate Poisson distribution, are shown to have the decreasing in transposition property introduced by [4], Ann. Statist. 5, 722-733). Sample applications in ecology and reliability are given; other applications to cumulation of damage and component down times are mentioned, but are not presented in detail.

Keywords: Functions; decreasing; in; transposition; multivariate; distributions; reliability; shock; models (search for similar items in EconPapers)
Date: 1981
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Citations: View citations in EconPapers (4)

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