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Lp-norm spherical distribution |
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| Authors: | A.K. Gupta D. Song |
| Affiliation: | a Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403-0221, USA b Ohio Northern University, Ada, OH 45810, USA |
| Abstract: | In this paper, the spherical distribution is generalized to the Lp-norm spherical distribution, S(n, p), through the stochastic representation. Then the form of its p.d.f. characterizing the S(n, p) distribution is derived. Marginal, conditional distributions and the moments of S(n, p) distribution are obtained. The order statistics and the invariance property of S(n,p) distribution are also investigated. |
| Keywords: | Stochastic representation Density function Marginal and conditional distributions Moments Invariance |
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