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The moment-generating function and negative integer moments

Journal Article


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. © The American Statistician.

Publication Date


  • 1981

Citation


  • Cressie, N., Davis, A. S., & Folks, J. L. (1981). The moment-generating function and negative integer moments. American Statistician, 35(3), 148-150. doi:10.1080/00031305.1981.10479334

Scopus Eid


  • 2-s2.0-0001289403

Web Of Science Accession Number


Start Page


  • 148

End Page


  • 150

Volume


  • 35

Issue


  • 3

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. © The American Statistician.

Publication Date


  • 1981

Citation


  • Cressie, N., Davis, A. S., & Folks, J. L. (1981). The moment-generating function and negative integer moments. American Statistician, 35(3), 148-150. doi:10.1080/00031305.1981.10479334

Scopus Eid


  • 2-s2.0-0001289403

Web Of Science Accession Number


Start Page


  • 148

End Page


  • 150

Volume


  • 35

Issue


  • 3