Some extensions that allow new estimating and bounding techniques for certain sequences of random variables controlled by a large deviation principle are given. These results can be thought of as generalizations and extensions of the Chernoff bound used in communications theory.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Bucklew et al. (1993) studied this question.
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