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Limit theorems for short distances in Rm

✍ Scribed by Vera R. Eastwood; Lajos Horváth

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
96 KB
Volume
45
Category
Article
ISSN
0167-7152

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✦ Synopsis

We prove the weak convergence of the empirical process of a(n) close pairs. The limit process is always Gaussian but its form depends on how fast the sequence a(n) goes to zero.

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✍ Peter Dittrich 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 555 KB

Saniniary. The hydrodyn:tniiciil limit is studied for infinite systems of BsowNian particles in Rd, d 2 3, which branch o:it at exponentially distributed tinies according t o a criticnl offspring distribution wii;h finite second moment. [n the second piirt LL central limit theorem for the hydrodynan