• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Numerical Analysis

The Tukey and the random Tukey depths characterize discrete distributions

Article ID Journal Published Year Pages File Type
1147240 Journal of Multivariate Analysis 2008 8 Pages PDF
Abstract

Through this paper it is shown that if the Tukey depths of two probabilities, PP and QQ, coincide and one of those distributions is discrete, then P=QP=Q. The same is proved if the random Tukey depths coincide.

Keywords
CharacterizationDiscrete DistributionsMulti-dimensional data
Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis
Preview
The Tukey and the random Tukey depths characterize discrete distributions
Authors
J.A. Cuesta-Albertos, A. Nieto-Reyes,
Related Articles
Group-wise semiparametric modeling: A SCSE approach
Kummer and gamma laws through independences on trees—Another parallel with the Matsumoto–Yor property
On the family of multivariate chi-square copulas
Linear shrinkage estimation of large covariance matrices using factor models
Continuously dynamic additive models for functional data
Lack of fit tests for linear regression models with many predictor variables using minimal weighted maximal matchings
Posterior convergence for Bayesian functional linear regression
A note on fast envelope estimation
Minimax rate-optimal estimation of high-dimensional covariance matrices with incomplete data
Classification into Kullback–Leibler balls in exponential families
Journal
Journal of Multivariate Analysis
Journal: Journal of Multivariate Analysis
Related Categories
Characterization
Discrete Distributions
Multi-dimensional data
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Computational Statistics & Data Analysis
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería
Applied Mathematics Letters
Expositiones Mathematicae
Linear Algebra and its Applications
Journal of Approximation Theory
Transactions of A. Razmadze Mathematical Institute
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Daneshyari provides fulltext access to millions of research papers.