Product Convolution of Generalized Subexponential Distributions
Copyright policy )Product Convolution of Generalized Subexponential Distributions
Assume that ξ and η are two independent random variables with distribution functions Fξ and Fη, respectively. The distribution of a random variable ξη, denoted by Fξ⊗Fη, is called the product-convolution of Fξ and Fη. It is proved that Fξ⊗Fη is a generalized subexponential distribution if Fξ belongs to the class of generalized subexponential distributions and η is nonnegative and not degenerated at zero.
- Vilnius University Lithuania
tail function; closure property; product-convolution; generalized subexponential distribution; heavy-tailed distribution, closure property, QA1-939, generalized subexponential distribution, product-convolution, tail function, heavy-tailed distribution, Tail function, Mathematics
tail function; closure property; product-convolution; generalized subexponential distribution; heavy-tailed distribution, closure property, QA1-939, generalized subexponential distribution, product-convolution, tail function, heavy-tailed distribution, Tail function, Mathematics
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