Abstract
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.
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Richter, WD. Continuous l n,p -symmetric distributions. Lith Math J 49, 93–108 (2009). https://doi.org/10.1007/s10986-009-9030-3
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DOI: https://doi.org/10.1007/s10986-009-9030-3
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 χ 2-distribution
- l n,p -ball numbers