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A simple proof for the continuity of infinite convolutions of binary random variables

✍ Scribed by Janos Galambos; Imre Kátai

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
116 KB
Volume
7
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

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✍ Peter Schatte 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 77 KB

Let X be a random variable satisfying for some z =-0. \Ye denote by P ( x ) the distribution function, by f ( t ) the characteristic function of the random variable X and introduce such that l a / -= ~/ 3 because of (1). Further, we use the denotations