Continuous \(l_{n,p}\)-symmetric distributions
type: Item
instance of: scholarly article
title: Continuous \(l_{n,p}\)-symmetric distributions
zbMATH Open document ID: 1177.60019
published in: Lithuanian Mathematical Journal
publication date: 2009-12-02T00:00:00Z
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 5641524
zbMATH Keywords: geometric measure representation
zbMATH Keywords: indivisible method
zbMATH Keywords: intersection-percentage function
zbMATH Keywords: Minkowski geometry
zbMATH Keywords: \(l_{n,p}\)-generalized surface measure
zbMATH Keywords: generalized uniform distribution
zbMATH Keywords: cone measure
zbMATH Keywords: exact statistical distributions
zbMATH Keywords: \(p\)-generalized normal distribution
zbMATH Keywords: geometric probability
zbMATH Keywords: density-generating function
zbMATH Keywords: heavy tails
zbMATH Keywords: light tails
zbMATH Keywords: \(p\)-generalized Fisher distribution
zbMATH Keywords: \((p,g)\)-generalized \(\chi ^{2}\)-distribution
zbMATH Keywords: \(l_{n,p}\)-ball numbers
author: Wolf-Dieter Richter
MaRDI profile type: Publication
full work available at URL: s10986-009-9030-3
OpenAlex ID: W2087140768
cites work: Q3796553
cites work: Q4028188
cites work: A geometric approach to an asymptotic expansion for large deviation probabilities of Gaussian random vectors
cites work: Q3995461
cites work: Q3996150
cites work: Gaussian probabilities of large deviation for fixed or increasing dimension
cites work: Q5565773
cites work: Statistical Analysis of Spherical Data
cites work: Multivariate \(\theta\)-generalized normal distributions
cites work: \(L_p\)-norm spherical distribution
cites work: Q3136286
cites work: Geometric generalization of the exponential law
cites work: Probabilities and Large Quantiles of Noncentral Generalized Chi-Square Distributions
cites work: Exact tests and confidence regions in nonlinear regression
cites work: Q3843205
cites work: Q3740832
cites work: Q5615180
cites work: Q4741623
cites work: Q5628978
cites work: Exact probabilities of correct classifications for uncorrelated repeated measurements from elliptically contoured distributions.
cites work: Q4837265
cites work: The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ
cites work: Zum asymptotischen Verhalten der Verteilungen und der Dichten gewisser Funktionale Gauss'scher Zufallsvektoren
cites work: Approximate independence of distributions on spheres and their stability properties
cites work: Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations
cites work: Zur Restgliedabschätzung im mehrdimensionalen integralen Zentralen Grenzwertsatz der Wahrscheinlichkeitstheorie
cites work: Q4009092
cites work: Q4872899
cites work: Generalized spherical and simplicial coordinates
cites work: On \(l_{2, p}\) -circle numbers
cites work: On the \(\pi \)-function for nonconvex \(l_{2,p}\)-circle discs
cites work: Asymptotic expansions for large deviation probabilities of noncentral generalized chi-square distributions
cites work: A geometric approach to finite sample and large deviation properties in two-way ANOVA with spherically distributed error vectors
cites work: On the Volume of the Intersection of Two L n p Balls
cites work: $L_p$-norm uniform distribution
cites work: Uniform distributions on spheres in finite dimensional \(L_\alpha\) and their generalizations
cites work: On a generalization of Gaussian distribution
cites work: Q3790478
DOI: 10.1007/S10986-009-9030-3
description: scientific article; zbMATH DE number 5641524