Probability inequalities for certain dependence structures
β Scribed by Thomas W. Dobbins; Sanat K. Sarkar
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 730 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __X~a,b~__ be nonnegative random variables with the property that __X~a,b~ β¦ X~a,c~ + X~c.b~__ for all 0__β¦ a < c < b β¦ T__, where __T >__ 0 is fixed. We define __M~a,b~ =__ sup {__X~a,c~: a < c β¦ h__} and establish bounds for __P__[__M~a,b~ β§ Ξ»__] in terms of given bounds for __P[X
A method based on sequences is applied to derive inequalities between the arithmeticαgeometric mean of Gauss, the logarithmic mean, and certain other means.
The purpose of the present paper is to derive some differential inequalities for certain analytic functions in the open unit disk by appealing to a result obtained by the first author.