On the joint distribution of two discrete random variables
โ Scribed by John Panaretos
- Publisher
- Springer Japan
- Year
- 1981
- Tongue
- English
- Weight
- 340 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0020-3157
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We obtain an explicit representation for joint distribution of two-valued random variables with given marginals and for a copula corresponding to such random variables. The results are applied to prove a characterization of r-independent two-valued random variables in terms of their mixed first mome
## I. fntFoduction Let {X,,, n 2 1) be a sequence of independent random variables, P, and f, the distribution function and the characteristic fundion of the X,, respectively. Let us put SN = 2 X,, where N is a pasitive integer-valued random variable independent of X,, ?t 2 1. Furthermore, let { P,