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Journal of Nonparametric Statistics Volume 23, 2011 - Issue 3
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Original Articles

A triangle test for equality of distribution functions in high dimensions

Zhenyu Liu Department of Statistics, The George Washington University, Washington, DC, 20052, USA
&
Reza Modarres Department of Statistics, The George Washington University, Washington, DC, 20052, USACorrespondence[email protected]
Pages 605-615 | Received 20 Jul 2009, Accepted 10 Apr 2010, Published online: 05 Jul 2010

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Marco Marozzi, Amitava Mukherjee & Jan Kalina. (2020) Interpoint distance tests for high-dimensional comparison studies. Journal of Applied Statistics 47:4, pages 653-665.
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Yu Song & Reza Modarres. (2019) Unified multivariate hypergeometric interpoint distances. Statistics 53:4, pages 921-942.
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Yi Wan, Zhi Liu & Min Deng. (2018) Empirical likelihood test for equality of two distributions using distance of characteristic functions. Statistics 52:6, pages 1379-1394.
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Reza Modarres. (2012) Testing the Equality and Exchangeability of Bivariate Distributions. Communications in Statistics - Theory and Methods 41:20, pages 3750-3758.
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Articles from other publishers (19)

M. V. Alba‐Fernández & M. D. Jiménez‐Gamero. (2023) Homogeneity of marginal distributions for a large number of populations. Stat 12:1.
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Cédric Heuchenne & Gilles Mordant. (2022) Using space filling curves to compare two multivariate distributions with distribution-free tests. Journal of Computational and Applied Mathematics 416, pages 114494.
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Biplab Paul, Shyamal K. De & Anil K. Ghosh. (2022) Some clustering-based exact distribution-free -sample tests applicable to high dimension, low sample size data . Journal of Multivariate Analysis 190, pages 104897.
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Ilmun Kim, Sivaraman Balakrishnan & Larry Wasserman. (2020) Robust multivariate nonparametric tests via projection averaging. The Annals of Statistics 48:6.
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Reza Modarres. (2020) Graphical Comparison of High‐Dimensional Distributions. International Statistical Review 88:3, pages 698-714.
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Reza Modarres & Yu Song. (2020) Multivariate power series interpoint distances. Statistical Methods & Applications 29:4, pages 955-982.
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Lingzhe Guo & Reza Modarres. (2019) Testing the equality of matrix distributions. Statistical Methods & Applications 29:2, pages 289-307.
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Ilenia Lovato, Alessia Pini, Aymeric Stamm & Simone Vantini. (2020) Model-free two-sample test for network-valued data. Computational Statistics & Data Analysis 144, pages 106896.
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Soham Sarkar, Rahul Biswas & Anil K. Ghosh. (2019) On some graph-based two-sample tests for high dimension, low sample size data. Machine Learning 109:2, pages 279-306.
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Yang Chen & Marianthi Markatou. 2020. Statistical Modeling in Biomedical Research. Statistical Modeling in Biomedical Research 309 337 .
Shin-ichi Tsukada. (2017) High dimensional two-sample test based on the inter-point distance. Computational Statistics 34:2, pages 599-615.
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Jan Koenderink, Andrea van Doorn & Karl Gegenfurtner. (2018) Color weight photometry. Vision Research 151, pages 88-98.
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Soham Sarkar & Anil K. Ghosh. (2018) On some high-dimensional two-sample tests based on averages of inter-point distances. Stat 7:1, pages e187.
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Adam Petrie. (2016) Graph-theoretic multisample tests of equality in distribution for high dimensional data. Computational Statistics & Data Analysis 96, pages 145-158.
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Zhi Liu, Xiaochao Xia & Wang Zhou. (2015) A test for equality of two distributions via jackknife empirical likelihood and characteristic functions. Computational Statistics & Data Analysis 92, pages 97-114.
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Pronoy K. Mondal, Munmun Biswas & Anil K. Ghosh. (2015) On high dimensional two-sample tests based on nearest neighbors. Journal of Multivariate Analysis 141, pages 168-178.
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Evaldas Vaiciukynas, Antanas Verikas, Adas Gelzinis, Marija Bacauskiene & Irina Olenina. (2015) Exploiting statistical energy test for comparison of multiple groups in morphometric and chemometric data. Chemometrics and Intelligent Laboratory Systems 146, pages 10-23.
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M. Biswas, M. Mukhopadhyay & A. K. Ghosh. (2014) A distribution-free two-sample run test applicable to high-dimensional data. Biometrika 101:4, pages 913-926.
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Munmun Biswas & Anil K. Ghosh. (2014) A nonparametric two-sample test applicable to high dimensional data. Journal of Multivariate Analysis 123, pages 160-171.
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