is non-decreasing. Thus, if one applies the c,-inequality, the inequality follows trivially. From this and from the preceding inequality we obtain By our condition the sums on the right hand side converge to 0 as n -+ + 00. This proves the assertion. Remarks. It is easy to see that for p > 2 our c
β¦ LIBER β¦
Moment inequalities for the partial sums of random variables
β Scribed by Shanchao Yang
- Publisher
- SP Science China Press
- Year
- 2001
- Tongue
- English
- Weight
- 290 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
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