The Moment-Generating Function and Negative Integer Moments

Authors
Cressie, Noel Davis, Anne S. Folks, J. Leroy Folks, J. Leroy
Citation
Cressie, Noel et al., The Moment-Generating Function and Negative Integer Moments, American statistician , 35(3), 1981, pp. 148-150
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
35
Issue
3
Year of publication
1981
Pages
148 - 150
Database
ACNP
SICI code
Abstract
It does not appear to be widely known that the moment-generating function Mx (t) contains information about negative as well as positive integer moments.Proofs of this are provided, extensions are indicated, and earlier literature deriving and using this type of result is briefly noted.Some examples are given.