✦ LIBER ✦
New characterization of Marshall-Olkin-type distributions via bivariate random summation scheme
✍ Scribed by Chufang Wu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 340 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
We characterize the Marshall~Olkin distribution and extend it to a vast class of stable-Marshal1491kin distributions. In particular, the Marshall-Olkin distribution will play the role of the limit in the law of large number for the bivariate geometric summation scheme, and the Laplace-Marshall-Olkin distribution will play the role of the normal distribution in the corresponding Central limit theorem. The rate of convergence is also studied.