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Multivariate Tweedie distributions and some related capital-at-risk analyses

Edward Furman and Zinoviy Landsman

Insurance: Mathematics and Economics, 2010, vol. 46, issue 2, 351-361

Abstract: We study a multivariate extension of the univariate exponential dispersion Tweedie family of distributions. The class, referred to as the multivariate Tweedie family (MTwF), on the one hand includes multivariate Poisson, gamma, inverse Gaussian, stable and compound Poisson distributions and on the other hand introduces a high variety of new dependent probabilistic models unstudied so far. We investigate various properties of MTwF and discuss its possible applications to financial risk management.

Keywords: Exponential; dispersion; models; Multivariate; Tweedie; family; Cauchy'; s; functional; equations; Risk; capital; allocations; The; tail; conditional; expectation; risk; measure (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (26)

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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