Convex and radially concave contoured distributions
type: Item
instance of: scholarly article
title: Convex and radially concave contoured distributions
zbMATH Open document ID: 1426.60016
DOI: 10.1155/2015/165468
author: Wolf-Dieter Richter
published in: Journal of Probability and Statistics
publication date: 2018-08-14T00:00:00Z
review text: Summary: Integral representations of the locally defined star-generalized surface content measures on star spheres are derived for boundary spheres of balls being convex or radially concave with respect to a fan in \(\mathbb{R}^n\). As a result, the general geometric measure representation of star-shaped probability distributions and the general stochastic representation of the corresponding random vectors allow additional specific interpretations in the two mentioned cases. Applications to estimating and testing hypotheses on scaling parameters are presented, and two-dimensional sample clouds are simulated.
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 6917447
describes a project that uses: normalp
describes a project that uses: pgnorm
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/165468
OpenAlex ID: W2177775840
Wikidata QID: Q59114203
cites work: Q3999358
cites work: Q4028188
cites work: Q4265493
cites work: A semiparametric density estimator based on elliptical distributions
cites work: Continuous Bivariate Distributions
cites work: Geometric disintegration and star-shaped distributions
cites work: Q4494143
cites work: On nonparametric estimation of density level sets
cites work: Granulometric smoothing
cites work: Estimating the number of clusters
cites work: Reverse triangle inequality. Antinorms and semi-antinorms
cites work: Generalized spherical and simplicial coordinates
cites work: Continuous \(l_{n,p}\)-symmetric distributions
cites work: Q4528906
cites work: Probabilities and Large Quantiles of Noncentral Generalized Chi-Square Distributions
cites work: Simulation of thep-generalized Gaussian distribution
Recommended article: Q3827409
Recommended article: Elliptically contoured distributions
Recommended article: Geometrically concave univariate distributions
Recommended article: Exploratory distributions for convex functions
Recommended article: Concentration of measure for radial distributions and consequences for statistical modeling
Recommended article: Q5320894
Recommended article: Q4280937
Recommended article: Gaussian conditional and quotient distributions on conic subsets
Recommended article: Q3567820
description: scientific article; zbMATH DE number 6917447