Title

Characteristic Functions and the Tail Behavior of Probability Distributions

Document Type

Discussion Paper

Publication Date

12-1-1980

CFDP Number

567

CFDP Pages

10

Abstract

The theory of Fourier transforms of generalized functions is used to extract general formulas for the tail behavior of a probability distribution from the behavior of its characteristic function in the locality of the origin. The theory is applied to develop asymptotic formula for the tails of the stable distributions.

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