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Journal of Statistical Planning and Inference, ISSN 0378-3758, 02/2016, Volume 169, pp. 27 - 33
Omnibus tests for central symmetry of a bivariate probability distribution are proposed. The test statistics compare empirical measures of opposite regions.... 
Hypothesis test | Distribution-free | Empirical process | Exchangeability | Symmetry | MULTIVARIATE SYMMETRY | STATISTICS & PROBABILITY
Journal Article
Journal of Multivariate Analysis, ISSN 0047-259X, 08/2014, Volume 129, pp. 186 - 192
We obtain random vectors with null third-order cumulants by projecting the data onto appropriate subspaces. Statistical applications include, but are not... 
Finite mixture | Symmetrization | Nonrandom sampling | Multivariate analysis of variance | Singular value decomposition | Secondary | Primary | DISTRIBUTIONS | FISHER INFORMATION | KURTOSIS | BIAS | STATISTICS & PROBABILITY | MULTIVARIATE SKEWNESS | Studies | Probability distribution | Mathematical models | Random variables | Symmetry
Journal Article
Journal of Forensic Sciences, ISSN 0022-1198, 05/2012, Volume 57, Issue 3, pp. 691 - 698
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2019, Volume 344-345, pp. 204 - 218
For a given symmetric refinable mask obeying the sum rule of order , an explicit method is suggested for the construction of mutually symmetric almost... 
Frames | Lifting Scheme | Multivariate wavelets | Symmetry | AFFINE SYSTEMS | MATHEMATICS, APPLIED | BASES | CONSTRUCTION | GENERAL DILATION MATRIX | BIORTHOGONAL WAVELETS | L-2(R-D)
Journal Article
Journal of Physical Chemistry Letters, ISSN 1948-7185, 12/2017, Volume 8, Issue 24, pp. 6029 - 6034
Journal Article
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, ISSN 1815-0659, 2014, Volume 10
Structures of symmetries of transformations for Holman-Biedenharn-Louck A(n) hypergeometric series: A(n) terminating balanced F-4(3) series and A(n) elliptic... 
Coxeter groups | elliptic hypergeometric series | U(N) | PHYSICS, MATHEMATICAL | ROOT SYSTEMS | TRANSFORMATIONS | multivariate hypergeometric series
Journal Article
JOURNAL OF MULTIVARIATE ANALYSIS, ISSN 0047-259X, 09/2019, Volume 173, pp. 125 - 144
We propose three new characterizations and corresponding distance-based weighted test criteria for the two-sample problem, and for testing symmetry and... 
Characteristic function | Two-sample problem | Independence testing | Symmetry testing | EMPIRICAL CHARACTERISTIC FUNCTION | INVARIANT TESTS | Distance correlation | MULTIVARIATE | STATISTICS & PROBABILITY | TAIL INDEX
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 2011, Volume 81, Issue 5, pp. 614 - 617
In this note we present one characterization of symmetry of probability distributions in Euclidean spaces which is formulated as follows. Let and be... 
Symmetric distribution | Multivariate symmetry | STATISTICS & PROBABILITY | Symmetric distribution Multivariate symmetry
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 4/2019, Volume 29, Issue 2, pp. 1 - 19
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 02/2017, Volume 46, Issue 4, pp. 1744 - 1765
This paper presents a procedure for testing the hypothesis that the underlying distribution of the data is elliptical when using robust location and scatter... 
62H15 | elliptical symmetry | robust estimation | 62F40 | Bootstrap | 62F35 | conditional test | DISTRIBUTIONS | STATISTICS & PROBABILITY | MULTIVARIATE DISTRIBUTION | SPHERICAL-SYMMETRY | COVARIANCE | Economic models | Hypotheses | Estimating techniques | Symmetry | Statistical analysis | Robustness (mathematics) | Samples | Statistical methods | Covariance matrix | Statistical tests | Statistics | Estimators
Journal Article
Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 10/2015, Volume 67, Issue 5, pp. 917 - 941
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 03/2019, Volume 48, Issue 3, pp. 922 - 943
In this paper, we revisit the problem of testing of the hypothesis of circular symmetry of a bivariate distribution. We propose some nonparametric tests based... 
62H15 | Nonparametric test | Circular symmetry | Empirical power | Count statistics | 62G20 | 62G10 | BOOTSTRAP | MULTIVARIATE | STATISTICS & PROBABILITY | SPHERICAL-SYMMETRY | Likelihood ratio | Bivariate analysis | Statistical tests | Symmetry | Goodness of fit
Journal Article
Stat, ISSN 2049-1573, 2018, Volume 7, Issue 1, p. n/a
In the context of modulated‐symmetry distributions, there exist various forms of skew‐elliptical families. We present yet another one, but with an unusual... 
skew‐elliptical distributions | symmetry‐modulated distributions | elliptical distributions | skew-elliptical distributions | symmetry-modulated distributions | T-DISTRIBUTION | MULTIVARIATE | STATISTICS & PROBABILITY | Formulations | Progeny | Symmetry | Distribution functions
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 05/2017, Volume 290, Issue 7, pp. 1087 - 1096
Let u t , y be a polyharmonic function of order N defined on the strip a , b × R d satisfying the growth condition 0.1 sup t ∈ K u t , y ≤ o y 1 − d / 2 e π c... 
35J30 | Polyharmonic functions | polyharmonic interpolation | 31A30 | multivariate interpolation | polyanalytic functions | MATHEMATICS | STRIP | SPACES | REPRESENTATION | SPLINES | DIRICHLET | UNIQUENESS | Harmonic functions | Hyperplanes
Journal Article
TEST, ISSN 1133-0686, 3/2012, Volume 21, Issue 1, pp. 54 - 73
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2014, Volume 10
Journal Article
Journal of Multivariate Analysis, ISSN 0047-259X, 2007, Volume 98, Issue 2, pp. 256 - 281
Journal Article
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