Asymptotic properties for Dirichlet processes indexed by a class of functions

作者：Zhang DX

来源：Statistics & Probability Letters, 1997, 32(1): 25-33.

DOI：10.1016/S0167-7152(96)00053-3

• Dirichlet process
• probability inequality
• strong uniform convergence rate
• central limit theorem

Suppose that F 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 F and the strong uniform convergence rates of the processes, and prove the central limit theorems for Dirichlet processes.

• 出版日期1997-2-14
• 单位贵州财经大学