Exponential tilting is a technique used in probability theory and large deviation principles that modifies the probability measure of a random variable to emphasize certain outcomes, typically by introducing a parameter that skews the distribution. This method allows for analyzing the behavior of random variables under different probabilities, facilitating the study of rare events and their likelihoods. It plays a critical role in deriving large deviation results by transforming the original measure into one that accentuates deviations from expected behavior.
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