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Asymptotic expansions for the maximum of random number of random variables

✍ Scribed by S.Yu. Novak


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
410 KB
Volume
51
Category
Article
ISSN
0304-4149

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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