Fetching the paper…
Reading the bibliography…
We consider the problem of conditional independence testing of $X$ and $Y$ given $Z$ where $X,Y$ and $Z$ are three real random variables and $Z$ is continuous.
A class of statistics with asymptotically normal distribution
Wassily Hoeffding · 1948
Earlier work this paper cites.
Conditional independence in statistical theory
Philip Dawid · 1979
Earlier work this paper cites.
On the minimax nonparametric detection of signals in white gaussian noise
Yuri Izmailovich Ingster · 1982
Earlier work this paper cites.
Testing the conditional independence and monotonicity assumptions of item response theory
Paul R Rosenbaum · 1984
Earlier work this paper cites.
A survey of exact inference for contingency tables
Alan Agresti · 1992
Earlier work this paper cites.
An exact analysis of conditional independence in several 2 x 2 contingency tables
Qing Yao and David Tritchler · 1993
Earlier work this paper cites.
Causation, prediction, and search
Peter Spirtes, Clark N Glymour, Richard Scheines, David Heckerman, Christopher Meek, Gregory Cooper, and Thomas Richardson · 2000
Earlier work this paper cites.
Asymptotic statistics , volume 3
Aad W Van der Vaart · 2000
Earlier work this paper cites.
Approximation Theorems of Mathematical Statistics
Robert J. Serfling · 2001
Earlier work this paper cites.
Non-asymptotic minimax rates of testing in signal detection
Yannick Baraud · 2002
Earlier work this paper cites.
Nonparametric Goodness-of-Fit Testing Under Gaussian Models
J.I. Ingster and I.A. Suslina · 2003
Earlier work this paper cites.
Testing conditional independence for continuous random variables
Wicher Pieter Bergsma · 2004
Earlier work this paper cites.
Distribution-free learning of bayesian network structure in continuous domains
Dimitris Margaritis · 2005
Earlier work this paper cites.
A consistent characteristic function-based test for conditional independence
Liangjun Su and Halbert White · 2007
Earlier work this paper cites.
Kernel measures of conditional dependence
Kenji Fukumizu, Arthur Gretton, Xiaohai Sun, and Bernhard Schölkopf · 2008
Earlier work this paper cites.
A nonparametric hellinger metric test for conditional independence
Liangjun Su and Halbert White · 2008
Cited alongside, same era.
Probabilistic graphical models: principles and techniques
Daphne Koller and Nir Friedman · 2009
Cited alongside, same era.
Testing conditional independence via Rosenblatt transforms
Kyungchul Song · 2009
Cited alongside, same era.
Nonparametric testing of conditional independence by means of the partial copula
Wicher Bergsma · 2010
Cited alongside, same era.
Consistent nonparametric tests of independence
Arthur Gretton and László Györfi · 2010
Cited alongside, same era.
Testing conditional independence using maximal nonlinear conditional correlation
Tzee-Ming Huang · 2010
Cited alongside, same era.
A new approach for testing properties of discrete distributions
Ilias Diakonikolas and Daniel M Kane · 2016
Later among the works it cites.
On a nonparametric notion of residual and its applications
Rohit K Patra, Bodhisattva Sen, and Gábor J Székely · 2016
Later among the works it cites.
Minimax rates of entropy estimation on large alphabets via best polynomial approximation
Yihong Wu and Pengkun Yang · 2016
Later among the works it cites.
A short note on poisson tail bounds, 2017
Clément L Canonne · 2017
Later among the works it cites.
Model-powered conditional independence test
Rajat Sen, Ananda Theertha Suresh, Karthikeyan Shanmugam, Alexandros G Dimakis, and Sanjay Shakkottai · 2017
Later among the works it cites.
Remember the curse of dimensionality: the case of goodness-of-fit testing in arbitrary dimension
Ery Arias-Castro, Bruno Pelletier, and Venkatesh Saligrama · 2018
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Strongly consistent nonparametric tests of conditional independence
László Györfi and Harro Walk · 2012
Cited alongside, same era.
Nonparametric goodness-of-fit testing under Gaussian models , volume 169
Yuri Ingster and Irina A Suslina · 2012
Cited alongside, same era.
Asymptotic methods in statistical decision theory
Lucien Le Cam · 2012
Cited alongside, same era.
Kernel-based conditional independence test and application in causal discovery
Kun Zhang, Jonas Peters, Dominik Janzing, and Bernhard Schölkopf · 2012
Cited alongside, same era.
A probabilistic theory of pattern recognition , volume 31
Luc Devroye, László Györfi, and Gábor Lugosi · 2013
Cited alongside, same era.
A permutation-based kernel conditional independence test
Gary Doran, Krikamol Muandet, Kun Zhang, and Bernhard Schölkopf · 2014
Cited alongside, same era.
Later among the works it cites.
Hypothesis testing for high-dimensional multinomials: A selective review
Sivaraman Balakrishnan and Larry Wasserman · 2018
Later among the works it cites.
The conditional permutation test
Thomas B Berrett, Yi Wang, Rina Foygel Barber, and Richard J Samworth · 2018
Later among the works it cites.
Testing conditional independence of discrete distributions
Clément L Canonne, Ilias Diakonikolas, Daniel M Kane, and Alistair Stewart · 2018
Later among the works it cites.
The hardness of conditional independence testing and the generalised covariance measure
Rajen D Shah and Jonas Peters · 2018
Later among the works it cites.
Characteristic function based testing for conditional independence: a nonparametric regression approach
Xia Wang and Yongmiao Hong · 2018
Later among the works it cites.
A simple measure of conditional dependence
Mona Azadkia and Sourav Chatterjee · 2019
Later among the works it cites.
Hypothesis testing for densities and high-dimensional multinomials: Sharp local minimax rates
Sivaraman Balakrishnan and Larry Wasserman · 2019
Later among the works it cites.
Distribution testing lower bounds via reductions from communication complexity
Eric Blais, Clément L Canonne, and Tom Gur · 2019
Later among the works it cites.