Accession Number:

AD0759040

Title:

On the Central Limit Theorem and Iterated Logarithm Law for Stationary Processes.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s):

• Heyde,C. C.

Report Date:

1973-03-26

Pagination or Media Count:

16.0

Abstract:

Invariance principles are given for both the central limit theorem and iterated logarithm law for a wide class of stationary processes. The results are derived from corresponding results for martingales with stationary ergodic increments. This is accomplished via a representation for the stationary process in terms of stationary martingale differences plus other terms whose sum telescopes and disappears under suitable norming. An application is given to show how previously known results for stationary uniformly mixing processes can be improved. Author

Descriptors:

• (*STOCHASTIC PROCESSES
• INVARIANCE)
• RANDOM VARIABLES
• MEASURE THEORY
• THEOREMS
• HILBERT SPACE

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE