A chi-square test for dimensionality with non-Gaussian data

Zhidong Bai, Xuming He

Type: Article

Publication Date: 2003-05-19

Citations: 12

DOI: https://doi.org/10.1016/s0047-259x(03)00056-3

View Publication

Locations

Journal of Multivariate Analysis - View

Similar Works

Action	Title	Year	Authors
+	Kolmogorov-Smirnov Test for Two-Dimensional Data	1988	William H. Press Saul A. Teukolsky
+	A generalized Shapiro–Wilk statistic for testing high-dimensional normality	2009	Jiajuan Liang Man‐Lai Tang Ping Shing Chan
+	A High-Dimensional Nonparametric Multivariate Test for Mean Vector	2016	Lan Wang Bo Peng Runze Li
+	A High-Dimensional Nonparametric Multivariate Test for Mean Vector	2016	Runze Li
+	Chi-Square Goodness-of-Fit Tests for a Family of Multidimensional Discrete Distributions	1990	M. Mirvaliev
+	On the power of the chi-square test for multidimensional normality	2010	Grzegorz Kończak Janusz Wywiał
+	Appendix C: Chi-Squared Distribution	1999
+	Chi-square goodness-of-fit test for one- and multidimensional discrete distributions	1994	V.G. Voinov M. S. Nikulin
+	Chi-Square Test of Independence for Discrete Data	2009
+	The Chi-squared Distribution	1976	Kenneth S. Kaminsky
+ PDF Chat	A high-dimensional two-sample test for the mean using random subspaces	2014	Måns Thulin
+	Statistics for high-dimensional data: p-values and confidence intervals	2014	B Peter
+	Two-sample Behrens–Fisher problems for high-dimensional data: a normal reference F-type test	2023	Tianming Zhu Pengfei Wang Jin‐Ting Zhang
+	Dimension Reduction and Covariance Structure for Multivariate Data, Beyond Gaussian Assumption	2011	Mehdi Maadooliat
+	On the Non-Central Chi-Square Distribution	1959	Munuswamy Sankaran
+	Asymptotics for tests on mean profiles, additional information and dimensionality under non-normality	2008	Solomon W. Harrar
+	Chi-Squared Distribution	2005	W. PaulVogt
+	Chi-Squared Distribution	1972	S. K. Katti H. O. Lancaster
+	Chi-Squared Distribution	1968	H. Mulholland C. R. Jones
+	Testing linear hypotheses of mean vectors for high-dimension data with unequal covariance matrices	2013	Takahiro Nishiyama Masashi Hyodo Takashi Seo Tatjana Pavlenko

Works That Cite This (11)

Action	Title	Year	Authors
+	Some extensions of multivariate sliced inverse regression	2006	Laure Barreda Ali Gannoun Jérôme Saracco
+ PDF Chat	A new sliced inverse regression method for multivariate response	2014	Raphaël Coudret Stéphane Girard Jérôme Saracco
+ PDF Chat	Application of the Bootstrap Approach to the Choice of Dimension and the α Parameter in the SIR<sub>α</sub>Method	2008	Benoît Liquet Jérôme Saracco
+ PDF Chat	An Introduction to Dimension Reduction in Nonparametric Kernel Regression	2014	Stéphane Girard Jérôme Saracco
+	Advanced topics in Sliced Inverse Regression	2021	Stéphane Girard Hadrien Lorenzo Jérôme Saracco
+	Asymptotic expansions in the singular value decomposition for cross covariance and correlation under nonnormality	2008	Haruhiko Ogasawara
+	Dimension estimation in sufficient dimension reduction: A unifying approach	2010	Efstathia Bura Jie Yang
+	Asymptotic expansions of the distributions of estimators in canonical correlation analysis under nonnormality	2007	Haruhiko Ogasawara
+	On estimation of the dimensionality in linear canonical analysis	2005	Guy Martial Nkiet
+	Overlapping Sliced Inverse Regression for Dimension Reduction	2018	Ning Zhang Zhou Yu Qiang Wu

Works Cited by This (7)

Action	Title	Year	Authors
+	Theory & Methods: Special Invited Paper: Dimension Reduction and Visualization in Discriminant Analysis (with discussion)	2001	R. Dennis Cook Xiangrong Yin
+	Principal Hessian Directions Revisited	1998	R. Dennis Cook
+	The Asymptotic Distribution of Singular-Values with Applications to Canonical Correlations and Correspondence Analysis	1994	M. L. Eaton David E. Tyler
+	Slicing Regression: A Link-Free Regression Method	1991	Naihua Duan Ker-Chau Li
+ PDF Chat	On the central limit theorem in R p when p→∞	1986	Stephen Portnoy
+	DIMENSION REDUCTION BASED ON CANONICAL CORRELATION	2002	Wing K. Fung L i Liu Peide Shi
+	Miscellanea. Linear regression after spline transformation	1997	Xi He