Abstract #300086

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JSM 2003 Abstract #300086
Activity Number: 223
Type: Invited
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #300086
Title: Distinguishing Families of Dependent Processes
Author(s): Andrew B. Nobel*+
Companies: University of North Carolina
Address: Dept. of Statistics, Chapel Hill, NC, 27599-3260,
Keywords: hypothesis testing ; ergodic process ; discernibility ; mixing
Abstract:

In this talk we will present general sufficient conditions for the discernibility of two families of stationary ergodic processes. The conditions, which involve the weak topology for stationary processes, are analogous to existing conditions for the discernibility of families of i.i.d. processes. As an application of the conditions, we will show how one may use adaptive hypothesis testing to study polynomial decay rates for covariance-based mixing conditions.

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