The principle of large deviations for the almost everywhere central limit theorem

Matthias K. Heck

Stochastic Processes and their Applications, 1998, vol. 76, issue 1, 61-75

Abstract: The purpose of the present paper is to prove a principle of large deviations for Brosamler's functional almost everywhere central limit theorem for i.i.d. random variables on . This principle of large deviations for the functional almost everywhere central limit theorem naturally implies a principle of large deviations for Brosamler and Schatte's almost everywhere central limit theorem. Furthermore it implies principles of large deviations for various other almost everywhere limit theorems.

Keywords: Central; limit; theorem; Almost; everywhere; central; limit; theorem; Principle; of; large; deviations; Brownian; motion; Almost; sure; invariance; principles (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (5)

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