Asymptotic properties for Dirichlet processes indexed by a class of functions

Dixin Zhang

Statistics & Probability Letters, 1997, vol. 32, issue 1, 25-33

Abstract: 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 and the strong uniform convergence rates of the processes, and prove the central limit theorems for Dirichlet processes.

Keywords: Dirichlet; process; Probability; inequality; Strong; uniform; convergence; rate; Central; limit; theorem (search for similar items in EconPapers)
Date: 1997
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