Continuous \(l_{n,p}\)-symmetric distributions. (English) Zbl 1177.60019
Summary: For \(p > 0\), the \(l_{n,p}\)-generalized surface measure on the \(l_{n,p}\)-unit sphere is studied and used for deriving a geometric measure representation for \(l_{n,p}\)-symmetric distributions having a density.
MSC:
| 60E05 | Probability distributions: general theory |
Keywords:
geometric measure representation; indivisible method; intersection-percentage function; Minkowski geometry; \(l_{n,p}\)-generalized surface measure; generalized uniform distribution; cone measure; exact statistical distributions; \(p\)-generalized normal distribution; geometric probability; density-generating function; heavy tails; light tails; \(p\)-generalized Fisher distribution; \((p,g)\)-generalized \(\chi ^{2}\)-distribution; \(l_{n,p}\)-ball numbersReferences:
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