The First Negative Moment of Skew-tand Generalized Student'st-Distributions in the Principal Value Sense | Zendy

ChienYu Peng | Zendy

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The First Negative Moment of Skew-tand Generalized Student'st-Distributions in the Principal Value Sense

Author(s) -

ChienYu Peng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/732875

Subject(s) - skew , principal (computer security) , principal value , mathematics , moment (physics) , value (mathematics) , sense (electronics) , cauchy principal value , mathematical analysis , calculus (dental) , pure mathematics , statistics , computer science , boundary value problem , physics , quantum mechanics , cauchy boundary condition , medicine , telecommunications , dentistry , electrical engineering , free boundary problem , engineering , operating system

The (Cauchy) principal value is a method for assigning values to certain improper integrals which would otherwise be undefined. Using the principal value sense, this study derives an explicit expression of the first negative moment of skew-t and generalized Student's t-distributions for practical applications. Some applications obtained from the FNM of skew-t and generalized Student's t-distributions are also discussed

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