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Convergence of products of independent random variables with values in a discrete semigroup

✍ Scribed by A. Mukherjea; T. C. Sun

Publisher
Springer
Year
1979
Tongue
English
Weight
385 KB
Volume
46
Category
Article
ISSN
1432-2064

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πŸ“œ SIMILAR VOLUMES

Convergence and symmetry of infinite pro
Convergence and symmetry of infinite products of independent random variables
✍ Italo Simonelli πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 98 KB

Let X1; X2; : : : be a sequence of independent random variables. Under very general assumptions we ΓΏnd necessary and su cient conditions for the product (normalized product) of the Xi's to converge weakly to a random variable, and for the limiting distribution to be symmetric about zero.