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Exponential estimates for the maximum of partial sums. II (Random fields)

✍ Scribed by F. Móricz

Publisher
Akadmiai Kiad
Year
1980
Tongue
English
Weight
763 KB
Volume
35
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES

Some Inequalities for the Maximum of Par
Some Inequalities for the Maximum of Partial Sums of Random Variables
✍ J. Mogyoródi 📂 Article 📅 1975 🏛 John Wiley and Sons 🌐 English ⚖ 623 KB

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