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

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.