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Approximations of the tail probability of the product of dependent extremal random variables and applications

MAP20130027104
Qu, Zhihui
Approximations of the tail probability of the product of dependent extremal random variables and applications / Zhihui Qu, Yu Chen
Sumario: In this paper, we investigate the tail probability of the product, where (X,Y1,,Yn) follows a multivariate Sarmanov distribution. An explicit asymptotic formula is established for the tail probability of the product when X belongs to the Fréchet, Gumbel, or Weibull max-domain of attraction. As applications, we consider a discrete-time risk model with dependent insurance and financial risks, and obtain the asymptotic behavior for the (in)finite-time ruin probabilities
En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 01/07/2013 Volumen 53 Número 1 - julio 2013
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