Math 2.0

Probability theory and stochastic processes Concept

Characteristic function

Summary

The characteristic function of a real random variable XX is the function t↦E[eitX]t \mapsto E[e^{itX}]. It is the Fourier transform of the law of XX, and it exists for every random variable. The node characteristic function gives the precise definition.

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5 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Characteristic_function_(probability_theory), lead section
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MSC60E10
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