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Symmetry of functions and exchangeability of random variables

✍ Scribed by Karl Friedrich Siburg; Pavel A. Stoimenov


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
219 KB
Volume
52
Category
Article
ISSN
0932-5026

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πŸ“œ SIMILAR VOLUMES


Convergence and symmetry of infinite pro
✍ 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.

Probability density functions of fuzzy r
✍ Hsien-Chung Wu πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 952 KB

The concept of (fuzzy) probability density function of fuzzy random variable is proposed in this paper. Due to the "resolution identity", we can construct a closed fuzzy number from a family of closed intervals. Using the same technique, we can construct the (fuzzy) probability density function of f