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Some distributions connected with sums of rectangular random variables

✍ Scribed by Wolfgang Stadje

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 317 KB
Volume: 8
Category: Article
ISSN: 0167-7152
DOI: 10.1016/0167-7152(89)90006-0

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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