Stochastic comparisons of multivariate random sums in the Laplace transform order, with applications

Moshe Shaked

Statistics & Probability Letters, 2007, vol. 77, issue 12, 1339-1344

Abstract: In this paper we find interesting conditions under which vectors of random sums, with different summands and different random sizes, are ordered with respect to the multivariate Laplace transform order. The main result unifies various univariate and multivariate results from the literature. Some applications in reliability theory and insurance are described.

Keywords: Reliability; theory; Shock; models; Bankruptcy; Probability; generating; function; order; Claim; models (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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