Ideal metrics and products of independent random variables
β Scribed by N. V. Grigorevskii
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 773 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1573-8795
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.
This paper deals with the comparison of tail probabilities for sums of independent bounded random variables and those fbr sums of Bernoulli random variables. As a consequence, we obtain a new sufficient criterion for the strong law of large numbers for a certain class of sequences of independent ran