Symmetry of functions and exchangeability of random variables
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
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