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On the subnormal variance in the counts of randomly distributed particles: II. Exact treatment of the one-dimensional case

✍ Scribed by B. R. A. Nijboer


Book ID
112757928
Publisher
Springer
Year
1953
Tongue
English
Weight
234 KB
Volume
15
Category
Article
ISSN
1522-9602

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We consider a random walk drifting to -∞ with distribution F of the steps. The paper considers the exact asymptotic behaviour of the distribution D of the supremum when there exists ¿ 0 such that R e x F(d x) = 1; R |x|e x F(d x) ‘ ∞ and R x 2 e x F(d x) = ∞, thus ÿlling the remaining gap in describ