𝔖 Bobbio Scriptorium
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The Distribution Function of the Distance between Two Points in a Convex Domain

✍ Scribed by E. Gečiauskas


Book ID
125059075
Publisher
Applied Probability Trust
Year
1977
Tongue
English
Weight
248 KB
Volume
9
Category
Article
ISSN
0001-8678

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Asymptotic Distribution of the Distance
✍ Pavel Kargaev; Anatoly Zhigljavsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 337 KB

Let x be a real number in [0, 1], F n be the Farey sequence of order n and \ n (x) be the distance between x and F n . Assuming that n Ä we derive the asymptotic distributions of the functions n 2 \ n (x) and n\ n (x$Ân), 0 x$ n. We also establish the asymptotics for 1 0 \ $ n (x) dx, for all real $