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Asymptotic properties for Dirichlet processes indexed by a class of functions

✍ Scribed by Dixin Zhang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
374 KB
Volume
32
Category
Article
ISSN
0167-7152

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✦ Synopsis

Suppose that ~ is a class of functions. In this paper, we obtain the exponential upper boundaries of the tail probabilities of the largest deviations for Dirichlet processes (DP) indexed by ~P-and the strong uniform convergence rates of the processes, and prove the central limit theorems for Dirichlet processes.

πŸ“œ SIMILAR VOLUMES

Asymptotic Estimates for a Class of Summ
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✍ U Balakrishnan; Y.-F.S PΓ©termann πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 402 KB

We establish explicit expressions for both P and E in n x a(n)=P(x)+E(x)= ``principal term''+``error term'', when the (complex) arithmetical function a has a generating function of the form `(s) Z(s), where `is the Riemann zeta function, and where Z has a representation as a Dirichlet series having