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- W4297411750 abstract "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 ${1,dots, n }$. 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. Based on the results obtained, we also show that for a Student $t$ distribution the $L_{n-j+1}$-quantile and the $L_j$-quantile coincide at any confidence level $tau$ in $(0, 1)$." @default.
- W4297411750 created "2022-09-28" @default.
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- W4297411750 date "2022-09-26" @default.
- W4297411750 modified "2023-09-24" @default.
- W4297411750 title "Inter-order relations between moments of a Student $t$ distribution, with an application to $L_p$-quantiles" @default.
- W4297411750 doi "https://doi.org/10.48550/arxiv.2209.12855" @default.
- W4297411750 hasPublicationYear "2022" @default.
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