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Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 28, 15 p. (2018).

MSC: 05C62 52C45 68R10 68U05

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Yata, Kazuyoshi; Aoshima, Makoto; Nakayama, Yugo

A test of sphericity for high-dimensional data and its application for detection of divergently spiked noise. (English) Zbl 1418.62241

Sequential Anal. 37, No. 3, 397-411 (2018).

Reviewer: Fabio Rapallo (Alessandria)

MSC: 62H15 62H25 62E10 62H10 62L10 92D10 62P10

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Chen, Jiaqi; Zhang, Yangchun; Li, Weiming; Tian, Boping

A supplement on CLT for LSS under a large dimensional generalized spiked covariance model. (English) Zbl 1463.62213

Stat. Probab. Lett. 138, 57-65 (2018).

MSC: 62J10 60F05 62M15

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Liu, Yan; Tamura, Yurie; Taniguchi, Masanobu

Asymptotic theory of test statistic for sphericity of high-dimensional time series. (English) Zbl 1416.62299

J. Time Ser. Anal. 39, No. 3, 402-416 (2018).

MSC: 62H15 62M10 62E20 62P05

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Li, Weiming; Yao, Jianfeng

On structure testing for component covariance matrices of a high dimensional mixture. (English) Zbl 06849256

J. R. Stat. Soc., Ser. B, Stat. Methodol. 80, No. 2, 293-318 (2018).

MSC: 62J10 62E20 62H05

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Baltagi, Badi H.; Kao, Chihwa; Wang, Fa

Asymptotic power of the sphericity test under weak and strong factors in a fixed effects panel data model. (English) Zbl 1524.62263

Econom. Rev. 36, No. 6-9, 853-882 (2017).

MSC: 62H15 62E20 62F05 62H25 62P20

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Dolati, Ardeshir

A characterization of horoidal digraphs. (English) Zbl 1485.68180

Mousavi, Mohammad Reza (ed.) et al., Topics in theoretical computer science. Second IFIP WG 1.8 international conference, TTCS 2017, Tehran, Iran, September 12–14, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10608, 11-25 (2017).

MSC: 68R10 05C10 05C20 68Q17 68U05

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Gasbarra, Dario; Pajevic, Sinisa; Basser, Peter J.

Eigenvalues of random matrices with isotropic Gaussian noise and the design of diffusion tensor imaging experiments. (English) Zbl 1408.94196

SIAM J. Imaging Sci. 10, No. 3, 1511-1548 (2017).

MSC: 94A08 60F05 62K05 62E20 68U10

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Srivastava, Muni S.; Singull, Martin

Testing sphericity and intraclass covariance structures under a growth curve model in high dimension. (English) Zbl 1381.62118

Commun. Stat., Simulation Comput. 46, No. 7, 5740-5751 (2017).

MSC: 62H15 62H10

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Mao, Guangyu

Variance-corrected tests for covariance structures with high-dimensional data. (English) Zbl 1381.62234

J. Multivariate Anal. 162, 71-81 (2017).

MSC: 62J10 62H15

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Ahmad, M. Rauf

Testing homogeneity of several covariance matrices and multi-sample sphericity for high-dimensional data under non-normality. (English) Zbl 1368.62146

Commun. Stat., Theory Methods 46, No. 8, 3738-3753 (2017).

MSC: 62H15

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Scott, William F.; Lu, Sheng; Lo, Cheuk Ngai

Orthogonal polynomials, repeated measures, and SPSS. (English) Zbl 1422.62382

Commun. Stat., Theory Methods 46, No. 7, 3342-3364 (2017).

MSC: 62Q05 62J05 62J15 62P10

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Peluso, Fabio

Terminal velocity of a buoyant gas bubble in the stable gas body approximation. (English) Zbl 1368.76072

Eur. J. Phys. 38, No. 3, Article ID 035801, 20 p. (2017).

MSC: 76T10 76N15

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Ahmad, M. Rauf

Location-invariant multi-sample \(U\)-tests for covariance matrices with large dimension. (English) Zbl 1422.62204

Scand. J. Stat. 44, No. 2, 500-523 (2017).

MSC: 62H20 62E20

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Richter, Wolf-Dieter; Střelec, Luboš; Ahmadinezhad, Hamid; Stehlík, Milan

Geometric aspects of robust testing for normality and sphericity. (English) Zbl 1361.62031

Stochastic Anal. Appl. 35, No. 3, 511-532 (2017).

MSC: 62H15 62H10

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Feng, Long; Liu, Binghui

High-dimensional rank tests for sphericity. (English) Zbl 1356.62071

J. Multivariate Anal. 155, 217-233 (2017).

MSC: 62H15 62E20 62H20

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Fujita, S.

Half-century journey from synthetic organic chemistry to mathematical stereochemistry through chemoinformatics. (English) Zbl 1406.92756

Iran. J. Math. Chem. 7, No. 2, 155-221 (2016).

MSC: 92E10 05A15 92-02

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Li, Zeng; Yao, Jianfeng

Testing the sphericity of a covariance matrix when the dimension is much larger than the sample size. (English) Zbl 1353.62063

Electron. J. Stat. 10, No. 2, 2973-3010 (2016).

MSC: 62H15 62H10 62F05

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Romero Fuster, María Carmen; Sánchez-Bringas, Federico

Isometric immersions with prefixed second order geometry in minimal codimension. (English) Zbl 1356.53062

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 633-654 (2016).

Reviewer: Vagn Lundsgaard Hansen (Lyngby)

MSC: 53C42 53B20 57R30

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Mao, Guangyu

A note on tests for high-dimensional covariance matrices. (English) Zbl 1398.62145

Stat. Probab. Lett. 117, 89-92 (2016).

MSC: 62H15

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Pinelis, Iosif; Molzon, Raymond

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method. (English) Zbl 1337.60024

Electron. J. Stat. 10, No. 1, 1001-1063 (2016).

MSC: 60F05 60E15 60E10 62F12 62F03 62F05 62G10 62G20

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Deo, Rohit S.

On the Tracy-Widom approximation of Studentized extreme eigenvalues of Wishart matrices. (English) Zbl 1336.62121

J. Multivariate Anal. 147, 265-272 (2016).

MSC: 62H10 62H15 62E20

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Ahmad, M. Rauf; von Rosen, D.

Tests for high-dimensional covariance matrices using the theory of \(U\)-statistics. (English) Zbl 1457.62176

J. Stat. Comput. Simulation 85, No. 13, 2619-2631 (2015).

MSC: 62H15

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Mezei, Mihaly

Use of circular variance to quantify the deviation of a macromolecule from the spherical shape. (English) Zbl 1328.92091

J. Math. Chem. 53, No. 10, 2184-2190 (2015).

MSC: 92E10

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Tian, Xintao; Lu, Yuting; Li, Weiming

A robust test for sphericity of high-dimensional covariance matrices. (English) Zbl 1327.62356

J. Multivariate Anal. 141, 217-227 (2015).

MSC: 62H15 62H10

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Ahmad, M. Rauf; von Rosen, Dietrich

Tests of covariance matrices for high dimensional multivariate data under non normality. (English) Zbl 1320.62127

Commun. Stat., Theory Methods 44, No. 7, 1387-1398 (2015).

MSC: 62H15

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Coelho, Carlos A.; Arnold, Barry C.; Marques, Filipe J.

The exact and near-exact distributions of the main likelihood ratio test statistics used in the complex multivariate normal setting. (English) Zbl 1328.62302

Test 24, No. 2, 386-416 (2015).

MSC: 62H05 62H10 62E15 62H15 62E20

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Yao, Jianfeng; Zheng, Shurong; Bai, Zhidong

Large sample covariance matrices and high-dimensional data analysis. (English) Zbl 1380.62011

Cambridge Series in Statistical and Probabilistic Mathematics 39. Cambridge: Cambridge University Press (ISBN 978-1-107-06517-8/hbk; 978-1-107-58808-0/hbk). xiv, 308 p. (2015).

Reviewer: Fabio Rapallo (Alessandria)

MSC: 62-02 62-07 62H30 62H20 62H15 62H12

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Baltagi, Badi H.; Kao, Chihwa; Peng, Bin

On testing for sphericity with non-normality in a fixed effects panel data model. (English) Zbl 1321.62085

Stat. Probab. Lett. 98, 123-130 (2015).

MSC: 62J10 62H15

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Arnau, Jaume; Bendayan, Rebecca; Blanca, María J.; Bono, Roser

Should we rely on the Kenward-Roger approximation when using linear mixed models if the groups have different distributions? (English) Zbl 1406.91338

Br. J. Math. Stat. Psychol. 67, No. 3, 408-429 (2014).

MSC: 91E45

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Mao, Guangyu

A note on tests of sphericity and cross-sectional dependence for fixed effects panel model. (English) Zbl 1293.62124

Econ. Lett. 122, No. 2, 215-219 (2014).

MSC: 62H15 62M10

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Paindaveine, Davy; Van Bever, Germain

Inference on the shape of elliptical distributions based on the MCD. (English) Zbl 1360.62280

J. Multivariate Anal. 129, 125-144 (2014).

MSC: 62H12 62H15 62F35 62E20

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Onatski, Alexei

Detection of weak signals in high-dimensional complex-valued data. (English) Zbl 1291.94026

Random Matrices Theory Appl. 3, No. 1, Article ID 1450001, 33 p. (2014).

MSC: 94A13 62H15 94A12 62F05 33C50 41A60

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Onatski, Alexei; Moreira, Marcelo J.; Hallin, Marc

Signal detection in high dimension: the multispiked case. (English) Zbl 1296.62123

Ann. Stat. 42, No. 1, 225-254 (2014).

MSC: 62H15 94A13 62B15 41A60

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Zou, Changliang; Peng, Liuhua; Feng, Long; Wang, Zhaojun

Multivariate sign-based high-dimensional tests for sphericity. (English) Zbl 1400.62100

Biometrika 101, No. 1, 229-236 (2014).

MSC: 62G10 62G20 62H11 62H15

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Marques, Filipe J.; Coelho, Carlos A.; Marques, Paula

The block-matrix sphericity test: exact and near-exact distributions for the test statistic. (English) Zbl 1407.62202

Oliveira, Paulo Eduardo (ed.) et al., Recent developments in modeling and applications in statistics. Selected papers based on the presentations at the 18th annual congress of the Portuguese Statistical Society, S. Pedro do Sul, Portugal, September 29 – October 2, 2010. Studies in Theoretical and Applied Statistics. Selected Papers of the Statistical Societies. Berlin: Springer. 169-177 (2013).

MSC: 62H15 62G10 62B05

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Wang, Qinwen; Yao, Jianfeng

On the sphericity test with large-dimensional observations. (English) Zbl 1293.62127

Electron. J. Stat. 7, 2164-2192 (2013).

MSC: 62H15 62H10

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Onatski, Alexei; Moreira, Marcelo J.; Hallin, Marc

Asymptotic power of sphericity tests for high-dimensional data. (English) Zbl 1293.62125

Ann. Stat. 41, No. 3, 1204-1231 (2013).

MSC: 62H15 62B15 41A60

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Marques, Filipe J.; Coelho, Carlos A.

Near-exact distributions for the likelihood ratio test statistic of the multi-sample block-matrix sphericity test. (English) Zbl 1309.62101

Appl. Math. Comput. 219, No. 6, 2861-2874 (2012).

MSC: 62H15 62H10

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Schott, James R.

An approximation for the test of the equality of the smallest eigenvalues of a covariance matrix. (English) Zbl 1258.62017

Commun. Stat., Theory Methods 41, No. 22-24, 4439-4443 (2012).

MSC: 62E20 62H15 65C60

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Williams, Gerald

Groups of Fibonacci type revisited. (English) Zbl 1271.20043

Int. J. Algebra Comput. 22, No. 8, Paper No. 1240002, 19 p. (2012).

Reviewer: Martyn Dixon (Tuscaloosa)

MSC: 20F05 20F06 20F10 57M05 20F67

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Shukla, Garima; Kumar, Vinod

Different methods of analyzing multiple samples repeated measures data. (English) Zbl 1247.62185

J. Reliab. Stat. Stud. 5, No. 1, 83-93 (2012).

MSC: 62J10 62H99 62-04

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Kumar, Naresh; Shukla, Mukul

Finite element analysis of multi-particle impact on erosion in abrasive water jet machining of titanium alloy. (English) Zbl 1426.76279

J. Comput. Appl. Math. 236, No. 18, 4600-4610 (2012).

MSC: 76M10 76T20 74M20 74R15

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Kang, Ross J.; Müller, Tobias

Sphere and dot product representations of graphs. (English) Zbl 1238.05180

Discrete Comput. Geom. 47, No. 3, 548-568 (2012).

MSC: 05C62

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OA License

Marques, Filipe J.; Coelho, Carlos A.

The block sphericity test — exact and near-exact distributions for the likelihood ratio statistic. (English) Zbl 1381.62116

Math. Methods Appl. Sci. 35, No. 4, 373-383 (2012).

MSC: 62H15 62H10 62H05

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Saliola, Franco; Thomas, Hugh

Oriented interval greedoids. (English) Zbl 1237.52020

Discrete Comput. Geom. 47, No. 1, 64-105 (2012).

Reviewer: Kelly J. Pearson (Murray)

MSC: 52C40

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Marques, Filipe J.; Coelho, Carlos A.; Arnold, Barry C.

A general near-exact distribution theory for the most common likelihood ratio test statistics used in multivariate analysis. (English) Zbl 1331.62268

Test 20, No. 1, 180-203 (2011).

MSC: 62H10 62E20 62H05 62H15

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Kang, Ross J.; Müller, Tobias

Sphere and dot product representations of graphs. (English) Zbl 1283.05188

Proceedings of the 27th annual symposium on computational geometry, SoCG 2011, Paris, France, June 13–15, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0682-9). 308-314 (2011).

MSC: 05C62 05C35 05C65

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Il’gamov, M. A.

Deviation from sphericity of a vapor cavity at the time of collapse. (Russian, English) Zbl 1274.76160

Dokl. Akad. Nauk, Ross. Akad. Nauk 440, No. 1, 35-38 (2011); translation in Dokl. Phys. 56, No. 9, 455-458 (2011).

Reviewer: Andrei Zemskov (Moskva)

MSC: 76B10

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Dolati, A.

Linear sphericity testing of 3-connected single source digraphs. (English) Zbl 1257.05051

Bull. Iran. Math. Soc. 37, No. 3, 291-303 (2011).

Reviewer: Simona Settepanella (Pisa)

MSC: 05C20 05C85 05C10

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Baltagi, Badi H.; Feng, Qu; Kao, Chihwa

Testing for sphericity in a fixed effects panel data model. (English) Zbl 1218.62055

Econom. J. 14, No. 1, 25-47 (2011).

MSC: 62H15 62E20 62M10 65C05

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Shimizu, Hiroaki; Wakaki, Hirofumi

Asymptotic expansions for a class of tests for a general covariance structure under a local alternative. (English) Zbl 1274.62387

J. Multivariate Anal. 102, No. 6, 1080-1089 (2011).

MSC: 62H15 62E20

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Coelho, Carlos A.; Arnold, Barry C.; Marques, Filipe J.

Near-exact distributions for certain likelihood ratio test statistics. (English) Zbl 1420.62233

J. Stat. Theory Pract. 4, No. 4, 711-725 (2010).

MSC: 62H10 62E20 62H05 62H15

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Pham-Gia, T.; Turkkan, N.

Testing sphericity using small samples. (English) Zbl 1283.62111

Statistics 44, No. 6, 601-616 (2010).

MSC: 62H10 62H15

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Nuño-Ballesteros, J. J.; Romero-Fuster, M. C.

Contact properties of codimension 2 submanifolds with flat normal bundle. (English) Zbl 1205.53007

Rev. Mat. Iberoam. 26, No. 3, 799-824 (2010).

MSC: 53A07 58C25

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Chang, Wan-Ying; Richards, Donald St. P.

Finite-sample inference with monotone incomplete multivariate normal data. II. (English) Zbl 1181.62076

J. Multivariate Anal. 101, No. 3, 603-620 (2010).

MSC: 62H10 62H15 62H12

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Coelho, Carlos A.; Marques, Filipe J.

Near-exact distributions for the independence and sphericity likelihood ratio test statistics. (English) Zbl 1181.62077

J. Multivariate Anal. 101, No. 3, 583-593 (2010).

MSC: 62H10 62E20 62H15 62H05 65C60

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Bai, Peng

Sphericity test in a GMANOVA-MANOVA model with normal error. (English) Zbl 1176.62059

J. Multivariate Anal. 100, No. 10, 2305-2312 (2009).

MSC: 62H15 62E20 62H10 62H12 33C90

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Coelho, Carlos A.; Marques, Filipe J.

The advantage of decomposing elaborate hypotheses on covariance matrices into conditionally independent hypotheses in building near-exact distributions for the test statistics. (English) Zbl 1160.62055

Linear Algebra Appl. 430, No. 10, 2592-2606 (2009).

MSC: 62H15 62H10 62H05

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Kim, Jae-Kwan; Cho, Youngsong; Bhak, Jong; Kim, Kyong Hoon; Kim, Jae-Jun; Kim, Deok-Soo

Sphericity of a protein via \(\beta\)-complex. (English) Zbl 1328.92053

Sugihara, Kokichi (ed.) et al., Voronoï’s impact on modern science. Book 4, Volume 2. Proceedings of the 5th international symposium on Voronoi diagrams in science and engineering, ISVD-2008, Kyiv, Ukraine, September 22–28, 2008. Kyiv: Institute of Mathematics, NAS of Ukraine (ISBN 978-966-02-4890-8/pbk; 978-966-02-4892-2/set). 133-143 (2008).

MSC: 92D20 92C40

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Bai, Peng; Shi, Lei

Testing sphericity in a GMANOVA-MANOVA model with normal error. (English) Zbl 1168.62348

Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 3, 639-650 (2008).

MSC: 62H15 62J10 62H10

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Boyd, John P.; Zhou, Cheng

Kelvin waves in the nonlinear shallow water equations on the sphere: nonlinear travelling waves and the corner wave bifurcation. (English) Zbl 1155.76013

J. Fluid Mech. 617, 187-205 (2008).

MSC: 76B15 76U05 76E30 86A05

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Fujita, Shinsaku

Combinatorial enumeration of three-dimensional trees as stereochemical models of alkanes: An approach based on Fujita’s proligand method and dual recognition as uninuclear and binuclear promolecules. (English) Zbl 1136.92036

J. Math. Chem. 43, No. 1, 141-201 (2008).

MSC: 92E10 05C30 05C05 05C90

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Dolati, Ardeshir; Hashemi, S. Mehdi

On the sphericity testing of single source digraphs. (English) Zbl 1142.05035

Discrete Math. 308, No. 11, 2175-2181 (2008).

Reviewer: Wai-Kai Chen (Fremont)

MSC: 05C20

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Dutilleul, Pierre

A note on sufficient conditions for valid unmodified \(t\) testing in correlation analysis with autocorrelated and heteroscedastic sample data. (English) Zbl 1318.62195

Commun. Stat., Theory Methods 37, No. 1, 137-145 (2008).

MSC: 62H20 62H15 62J10 62M10

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Marques, Filipe J.; Coelho, Carlos A.

Near-exact distributions for the sphericity likelihood ratio test statistic. (English) Zbl 1138.62033

J. Stat. Plann. Inference 138, No. 3, 726-741 (2008).

MSC: 62H15 62H10 62E20 65C60

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Iyit, Neslihan; Genç, Aşır

A comparative study of fixed effects models and random intercept/slope models as a special case of linear mixed models for repeated measurements. (English) Zbl 1228.62084

Selçuk J. Appl. Math. 8, No. 1, 57-74 (2007).

MSC: 62J05 62H15 65C60

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Gouttière, C.; Lemaur, G.; de Coninck, J.

Influence of filter sphericity on the detection of singularities in synthetic images. (English) Zbl 1186.94133

Signal Process. 87, No. 3, 552-561 (2007).

MSC: 94A12

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Díaz-García, José A.; Pérez-Agamez, Raúl Alberto

Principal components under singularity. (English) Zbl 1144.62327

Int. Math. Forum 2, No. 21-24, 1093-1103 (2007).

MSC: 62H25 62H12 15A18 15B52 62H15

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Gong, Liqiang; Deng, Xiaocheng

Monotonicity of power functions for sphericity tests in multivariate normal populations. (Chinese. English summary) Zbl 1174.62432

J. Guangzhou Univ., Nat. Sci. 6, No. 2, 6-9 (2007).

MSC: 62H15 62H10

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Ahn, Jeongyoun; Marron, J. S.; Muller, Keith M.; Chi, Yueh-Yun

The high-dimension, low-sample-size geometric representation holds under mild conditions. (English) Zbl 1135.62039

Biometrika 94, No. 3, 760-766 (2007).

MSC: 62H05 62H25

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Fujita, Shinsaku

Group-theoretical foundations for the concept of mandalas as diagrammatical expressions for characterizing symmetries of stereoisomers. (English) Zbl 1220.81133

J. Math. Chem. 42, No. 3, 481-534 (2007).

MSC: 81R05 81V55 92E10

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Fujita, Shinsaku

Sphericities of double cosets, double coset representations, and Fujita’s proligand method for combinatorial enumeration of stereoisomers. (English) Zbl 1119.92070

J. Math. Chem. 42, No. 2, 215-263 (2007).

MSC: 92E10

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Paindaveine, Davy

A Chernoff-Savage result for shape: On the non-admissibility of pseudo-Gaussian methods. (English) Zbl 1101.62045

J. Multivariate Anal. 97, No. 10, 2206-2220 (2006).

MSC: 62H12 62C15 62G20 62H15

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Spirov, Ljudmil

An algebraic approach for text-dependent speaker identification. (English) Zbl 1111.68651

Int. J. Appl. Math. 19, No. 1, 13-19 (2006).

MSC: 68T10 68T50

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Zorin, A. A.

Relationship of sphericity and weak symmetry of homogeneous spaces of reductive groups. (Russian, English) Zbl 1103.14028

Vestn. Mosk. Univ., Ser. I 2005, No. 4, 14-18 (2005); translation in Mosc. Univ. Math. Bull. 60, No. 4, 15-18 (2005).

Reviewer: V. G. Miladzhanov (Andizhan)

MSC: 14M17 20G20

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Birke, Melanie; Dette, Holger

A note on testing the covariance matrix for large dimension. (English) Zbl 1070.62046

Stat. Probab. Lett. 74, No. 3, 281-289 (2005).

MSC: 62H15 62E20

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Found 220 Documents (Results 1–100)

On robust estimators of a sphericity measure in high dimension. (English) Zbl 07914299

Kähler-Einstein metrics and obstruction flatness of circle bundles. (English. French summary) Zbl 1522.32086

Likelihood ratio tests for elaborate covariance structures and for MANOVA models with elaborate covariance structures – a review. (English) Zbl 1531.62033

Robust sphericity test in the panel data model. (English) Zbl 1478.62141

Test for the covariance matrix in time-varying coefficients panel data models with fixed effects. (English) Zbl 1485.62118

High-dimensional sphericity test by extended likelihood ratio. (English) Zbl 1496.62100

On the blocks of interpoint distances. (English) Zbl 1469.62260

Comparison of correction factors and sample size required to test the equality of the smallest eigenvalues in principal component analysis. (English) Zbl 1470.62072

The maximum turnaround radius of non-spherical cosmic structures. (English) Zbl 1464.83006

Sphericity and identity test for high-dimensional covariance matrix using random matrix theory. (English) Zbl 1466.62260

Testing high dimensional covariance matrices via posterior Bayes factor. (English) Zbl 1461.62236

Testing for covariance matrices in time-varying coefficient panel data models with fixed effects. (English) Zbl 1484.62068

Testing simultaneously different covariance block diagonal structures – the multi-sample case. (English) Zbl 1521.62402

Sphericity test for high dimensional data based on random matrix theory. (Chinese. English summary) Zbl 1463.62173

Certified efficient global roundness evaluation. (English) Zbl 1447.90044

Some sphericity tests for high dimensional data based on ratio of the traces of sample covariance matrices. (English) Zbl 1459.62084

Testing for individual sphericity in heterogeneous panels. (English) Zbl 1464.62269

Tyler shape depth. (English) Zbl 1435.62220

Hypothesis testing on linear structures of high-dimensional covariance matrix. (English) Zbl 1435.62202

Testing for sphericity in a fixed effects panel data model with time-varying variances. (English) Zbl 1420.62255

On the complexity of closest pair via polar-pair of point-sets. (English) Zbl 1407.05165

High-dimensional covariance matrices in elliptical distributions with application to spherical test. (English) Zbl 1415.62036

Testing for sphericity in a two-way error components panel data model. (English) Zbl 1491.62245

On the complexity of closest pair via polar-pair of point-sets. (English) Zbl 1473.05213

A test of sphericity for high-dimensional data and its application for detection of divergently spiked noise. (English) Zbl 1418.62241

A supplement on CLT for LSS under a large dimensional generalized spiked covariance model. (English) Zbl 1463.62213

Asymptotic theory of test statistic for sphericity of high-dimensional time series. (English) Zbl 1416.62299

On structure testing for component covariance matrices of a high dimensional mixture. (English) Zbl 06849256

Asymptotic power of the sphericity test under weak and strong factors in a fixed effects panel data model. (English) Zbl 1524.62263

A characterization of horoidal digraphs. (English) Zbl 1485.68180

Eigenvalues of random matrices with isotropic Gaussian noise and the design of diffusion tensor imaging experiments. (English) Zbl 1408.94196

Testing sphericity and intraclass covariance structures under a growth curve model in high dimension. (English) Zbl 1381.62118

Variance-corrected tests for covariance structures with high-dimensional data. (English) Zbl 1381.62234

Testing homogeneity of several covariance matrices and multi-sample sphericity for high-dimensional data under non-normality. (English) Zbl 1368.62146

Orthogonal polynomials, repeated measures, and SPSS. (English) Zbl 1422.62382

Terminal velocity of a buoyant gas bubble in the stable gas body approximation. (English) Zbl 1368.76072

Location-invariant multi-sample \(U\)-tests for covariance matrices with large dimension. (English) Zbl 1422.62204

Geometric aspects of robust testing for normality and sphericity. (English) Zbl 1361.62031

High-dimensional rank tests for sphericity. (English) Zbl 1356.62071

Half-century journey from synthetic organic chemistry to mathematical stereochemistry through chemoinformatics. (English) Zbl 1406.92756

Testing the sphericity of a covariance matrix when the dimension is much larger than the sample size. (English) Zbl 1353.62063

Isometric immersions with prefixed second order geometry in minimal codimension. (English) Zbl 1356.53062

A note on tests for high-dimensional covariance matrices. (English) Zbl 1398.62145

Optimal-order bounds on the rate of convergence to normality in the multivariate delta method. (English) Zbl 1337.60024

On the Tracy-Widom approximation of Studentized extreme eigenvalues of Wishart matrices. (English) Zbl 1336.62121

Tests for high-dimensional covariance matrices using the theory of \(U\)-statistics. (English) Zbl 1457.62176

Use of circular variance to quantify the deviation of a macromolecule from the spherical shape. (English) Zbl 1328.92091

A robust test for sphericity of high-dimensional covariance matrices. (English) Zbl 1327.62356

Tests of covariance matrices for high dimensional multivariate data under non normality. (English) Zbl 1320.62127

The exact and near-exact distributions of the main likelihood ratio test statistics used in the complex multivariate normal setting. (English) Zbl 1328.62302

Large sample covariance matrices and high-dimensional data analysis. (English) Zbl 1380.62011

On testing for sphericity with non-normality in a fixed effects panel data model. (English) Zbl 1321.62085

Should we rely on the Kenward-Roger approximation when using linear mixed models if the groups have different distributions? (English) Zbl 1406.91338

A note on tests of sphericity and cross-sectional dependence for fixed effects panel model. (English) Zbl 1293.62124

Inference on the shape of elliptical distributions based on the MCD. (English) Zbl 1360.62280

Detection of weak signals in high-dimensional complex-valued data. (English) Zbl 1291.94026

Signal detection in high dimension: the multispiked case. (English) Zbl 1296.62123

Multivariate sign-based high-dimensional tests for sphericity. (English) Zbl 1400.62100

The block-matrix sphericity test: exact and near-exact distributions for the test statistic. (English) Zbl 1407.62202

On the sphericity test with large-dimensional observations. (English) Zbl 1293.62127

Asymptotic power of sphericity tests for high-dimensional data. (English) Zbl 1293.62125

Near-exact distributions for the likelihood ratio test statistic of the multi-sample block-matrix sphericity test. (English) Zbl 1309.62101

An approximation for the test of the equality of the smallest eigenvalues of a covariance matrix. (English) Zbl 1258.62017

Groups of Fibonacci type revisited. (English) Zbl 1271.20043

Different methods of analyzing multiple samples repeated measures data. (English) Zbl 1247.62185

Finite element analysis of multi-particle impact on erosion in abrasive water jet machining of titanium alloy. (English) Zbl 1426.76279

Sphere and dot product representations of graphs. (English) Zbl 1238.05180

The block sphericity test — exact and near-exact distributions for the likelihood ratio statistic. (English) Zbl 1381.62116

Oriented interval greedoids. (English) Zbl 1237.52020

A general near-exact distribution theory for the most common likelihood ratio test statistics used in multivariate analysis. (English) Zbl 1331.62268

Sphere and dot product representations of graphs. (English) Zbl 1283.05188

Deviation from sphericity of a vapor cavity at the time of collapse. (Russian, English) Zbl 1274.76160

Linear sphericity testing of 3-connected single source digraphs. (English) Zbl 1257.05051

Testing for sphericity in a fixed effects panel data model. (English) Zbl 1218.62055