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Characteristic Functions
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Definition of Characteristic Functions: Characteristic functions are denoted here as PSI(t) or PSIX(t). Is defined for any random variable X with a pdf f(x). PSI(t) is defined to be E[eitX], which is the integral from minus infinity to infinity of eitXf(x).

This is also the cgf, or cumulant generating function. (Econterms)

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