Characterization ofp-Generalized Normality
In this paper some characterization results ofLp-norm spherical distributions are obtained. It is proved that ifX=(X1,Â ...,Â Xn)' has aLp-norm spherical distribution having certain independence properties, thenX1,Â X2,Â ...,Â Xnmust be i.i.d. with p.d.f.p(x)[is proportional to]e-xp/c. Also, the largest characterization ofLp-norm spherical distributions is given.
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Volume (Year): 60 (1997)
Issue (Month): 1 (January)
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