• Corpus ID: 252531495

Inter-order relations between moments of a Student $t$ distribution, with an application to $L_p$-quantiles

  title={Inter-order relations between moments of a Student \$t\$ distribution, with an application to \$L\_p\$-quantiles},
  author={Valeria Bignozzi and Luca Merlo and Lea Petrella},
This paper introduces inter-order formulas for partial and complete moments of a Student t distribution with n degrees of freedom. We show how the partial moment of order n − j about any real value m can be expressed in terms of the partial moment of order j − 1 for j in { 1 , . . . , n } . Closed form expressions for the complete moments are also established. We then focus on L p -quantiles, which represent a class of generalized quantiles defined through an asymmetric p -power loss function… 

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