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Annals of Statistics, ISSN 0090-5364, 04/2010, Volume 38, Issue 2, pp. 635 - 669
A new multivariate concept of quantile, based on a directional version of Koenker and Bassett's traditional regression quantiles, is introduced for... 
Quantile regression | Halfspace depth | Multivariate quantile | Studies | Linear programming | Multivariate analysis | Optimization | quantile regression | 62H05 | halfspace depth | 62J05
Journal Article
Journal Article
The Annals of Statistics, ISSN 0090-5364, 8/2005, Volume 33, Issue 4, pp. 1580 - 1616
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 11/2018, Volume 47, Issue 22, pp. 5497 - 5513
Journal Article
Bayesian Analysis, ISSN 1936-0975, 2011, Volume 6, Issue 2, pp. 197 - 202
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 09/2017, Volume 46, Issue 8, pp. 6011 - 6018
The family of l p -norm symmetric distributions was proposed by Yue and Ma and is a natural generalization to the family of l 1 -norm symmetric distributions... 
62H05 | Uniform design | Stochastic representation | norm symmetric distribution | Statistical simulation
Journal Article
Bayesian Analysis, ISSN 1936-0975, 06/2011, Volume 6, Issue 2, pp. 205 - 207
Journal Article
Bayesian Analysis, ISSN 1936-0975, 2011, Volume 6, Issue 2, pp. 203 - 204
Journal Article
Dependence Modeling, ISSN 2300-2298, 01/2019, Volume 7, Issue 1, pp. 126 - 132
Úbeda-Flores showed that the range of multivariate Spearman’s footrule for copulas of dimension ≥ 2 is contained in the interval [−1/ , 1], that the upper... 
Spearman’s footrule | 62H05 | 62H20 | copulas | measures of dependence | sparse copulas
Journal Article
Dependence Modeling, ISSN 2300-2298, 01/2019, Volume 7, Issue 1, pp. 181 - 201
In this paper we discuss a natural extension of infinite discrete partition-of-unity copulas which were recently introduced in the literature to continuous... 
partition-of-unity copulas | 62H05 | 62H17 | 62H20 | tail dependence | 62H12
Journal Article
Dependence Modeling, ISSN 2300-2298, 12/2018, Volume 6, Issue 1, pp. 298 - 308
We investigate the properties of a new transformation of copulas based on the co-copula and an univariate function. It is shown that several families in the... 
62H05 | co-copula | Copula | Statistics | Mathematics
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 6/2016, Volume 29, Issue 2, pp. 550 - 568
We prove the Lukacs–Olkin–Rubin theorem without invariance of the distribution of the “quotient,” which was the key assumption in the original proof of... 
Riesz distribution | Symmetric cones | 62H05 | Functional equations | Wishart distribution | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | Lukacs characterization | Division algorithm
Journal Article
The Annals of Statistics, ISSN 0090-5364, 10/2005, Volume 33, Issue 5, pp. 2042 - 2065
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 02/2017, Volume 46, Issue 2, pp. 1611 - 1627
A characterization of Burr Type III and Type XII distributions based on the method of percentiles (MOP) is introduced and contrasted with the method of... 
Method of Percentiles | Method of Moments | Primary 62E17, 62F40, 62G05, 62G09, 62H05, 62H10, 62H12, 62H20; Secondary 65C05 | Monte Carlo Simulation | 62G05 | 62H05 | Primary 62E17 | Secondary 65C05 | 62G09 | STATISTICS & PROBABILITY | RELIABILITY | 62F40 | 62H20 | 62H10 | 62H12 | STANDS | Monte Carlo simulation | Fittings | Correlation | Computer simulation | Methodology | Efficiency | Computation | Bias | Burrs
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 2019, pp. 1 - 18
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 03/2014, Volume 43, Issue 6, pp. 1132 - 1144
In application areas like bioinformatics, multivariate distributions on angles are encountered which show significant clustering. One approach to statistical... 
Modes | Simulation | Directional distributions | Mixture models | Secondary 62H05, 62P99 | Primary 62H11 | Bioinformatics | Sine distribution | 62P10 | 62P99 | Secondary 62H05 | STATISTICS & PROBABILITY | Finite element analysis | Shear stresses | Anisotropy | Statistical analysis | Samples | Statistical methods | Criteria | Clustering | Statistics
Journal Article
Economic Quality Control, ISSN 0940-5151, 01/2019, Volume 34, Issue 1, pp. 53 - 57
If the distribution of the linear combination of two independent and identically distributed random variables from a distribution belongs to the same... 
Economic theory | Random variables
Journal Article
The Annals of Statistics, ISSN 0090-5364, 10/2013, Volume 41, Issue 5, pp. 2700 - 2702
We report an error in Theorem 4.1 of the paper identified in the title. That theorem is not true in general. However, the main mathematical message in the... 
Paper | Matrices | Mathematical theorems | Random variables | 60G46 | 62H05 | standardization | Normalization | 60F15
Journal Article
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