For S= x i ! i , where (! i ) is a sequence of independent, symmetric random variables and (x i ) is a sequence of vectors in a normed space we give two methods of proving inequalities (E &S& p ) 1Γp C p, q (E &S& q ) 1Γq with the constants C p, q independent of the sequence (x i ). The methods depe
β¦ LIBER β¦
A Comparison Theorem on Moment Inequalities Between Negatively Associated and Independent Random Variables
β Scribed by Qi-Man Shao
- Book ID
- 110255426
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 104 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0894-9840
No coin nor oath required. For personal study only.
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## 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,