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The 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, 08/2005, Volume 33, Issue 4, pp. 1580 - 1616
Journal Article
The Annals of statistics, ISSN 0090-5364, 10/2005, Volume 33, Issue 5, pp. 2042 - 2065
Journal Article
02/2017
Gaussian mixture models are widely used in Statistics. A fundamental aspect of these distributions is the study of the local maxima of the density, or modes.... 
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 | Statistics & Probability | Physical Sciences | Science & Technology
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
The Annals of statistics, ISSN 0090-5364, 04/2000, Volume 28, Issue 2, pp. 461 - 482
Journal Article
Dependence modeling, ISSN 2300-2298, 03/2018, Volume 6, Issue 1, pp. 47 - 62
Motivated by the nice characterization of copulas A for which d (A, A ) is maximal as established independently by Nelsen [11] and Klement & Mesiar [7], we... 
62H05 | exchangeability | Copula | symmetry | Markov kernel | 28A12 | 62E10 | complete dependence | 60E05
Journal Article
The Annals of statistics, ISSN 0090-5364, 4/2002, Volume 30, Issue 2, pp. 455 - 474
In many situations regression analysis is mostly concerned with inferring about the conditional mean of the response given the predictors, and less concerned... 
Dimensionality reduction | Objective functions | Linear regression | Matrices | Eigenvectors | Mathematical vectors | Regression analysis | Modeling | Nonparametric Function Estimation | Estimators | Estimation methods | Graphics | Visualization | Regression | Central subspace | SAVE | pHd | SIR | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | 62H05 | visualization | 62G08 | regression | 62-09 | graphics
Journal Article
The Annals of statistics, ISSN 0090-5364, 8/2015, Volume 43, Issue 4, pp. 1647 - 1681
This paper considers the problem of defining distributions over graphical structures. We propose an extension of the hyper Markov properties of Dawid and... 
Structural estimation | Graphical models | Structural Markov laws | Hyper Markov laws | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Studies | Graph theory | Markov analysis | Comparative analysis | Bayesian analysis | Definitions | 62H05 | hyper Markov laws | 05C90 | structural Markov laws | structural estimation | 05C80 | 68T30
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 11/2015, Volume 288, pp. 159 - 168
Multivariate normal stable Tweedie models are recently introduced as an extension to normal gamma and normal inverse Gaussian models. The aim of this paper is... 
Variance function | Symmetric matrix | Natural exponential family | Pseudo-orthogonality | 62E10 | MSC 62H05 | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Computation | Mathematical analysis | Mathematical models | Gaussian | Polynomials | Inverse | Variance
Journal Article
Dependence modeling, ISSN 2300-2298, 07/2019, Volume 7, Issue 1, pp. 259 - 278
We show that any distribution function on ℝ with nonnegative, nonzero and integrable marginal distributions can be characterized by a norm on ℝ , called -norm.... 
Characteristic function | 62H05 | 60G99 | multivariate distribution | 60E10 | empirical distribution function | Wasserstein metric | 62H12 | Hausdorff metric | norm | 62h05 | d-norm | wasserstein metric | hausdorff metric | 60e10 | 62h12 | characteristic function | 60g99
Journal Article
Sankhya B, ISSN 0976-8386, 6/2019, Volume 81, Issue 1, pp. 60 - 74
The family of Inverse Gaussian (IG) distributions has applications in areas such as hydrology, lifetime testing, and reliability, among others. In this paper,... 
Characterizations | 62H15 | 62H05 | 62P30 | Goodness-of-fit test | Secondary 62F40 | Data transformations | Statistics, general | Shapiro-Wilk test | Statistics | Gamma distribution | Convolution | Anderson-Darling test | Primary 62F03 | 62F05
Journal Article
Test (Madrid, Spain), ISSN 1863-8260, 05/2018, Volume 28, Issue 2, pp. 475 - 498
Journal Article
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