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Synthese (Dordrecht), ISSN 1573-0964, 2014, Volume 194, Issue 10, pp. 3979 - 3995
.... This has important ramifications for the notion of probabilistic independence. Traditionally, independence is defined in terms of unconditional probabilities... 
Philosophy of Science | Philosophy of Language | Epistemology | Independence | Popper | Metaphysics | Conditional probability | Logic | Confirmation | Philosophy | PROBABILITY | PHILOSOPHY | HISTORY & PHILOSOPHY OF SCIENCE | Antecedents | Probability | Popper, Karl | Theory
Journal Article
Journal of the American Statistical Association, ISSN 1537-274X, 2014, Volume 109, Issue 507, pp. 1270 - 1284
.... The proposed nonparametric independence screening (NIS) selects variables by ranking a measure of the nonparametric marginal contributions of each covariate given the exposure variable... 
Conditional permutation | Sparsity | Sure independence screening | False positive rates | Variable selection | Regression coefficients | Simulations | Error rates | Dimensionality | Approximation | Theory and Methods | Variable coefficients | Marginal utility | Standard deviation | Random variables | Nonparametric models | REGRESSION | NONCONCAVE PENALIZED LIKELIHOOD | LASSO | STATISTICS & PROBABILITY | REGULARIZATION | ORACLE PROPERTIES
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 04/2016, Volume 17, pp. 1 - 20
In this paper we analyze the relationship between faithfulness and the more recent condition of algorithmic Independence of Conditionals (IC... 
Independence of conditionals | Causality | Faithfulness | Kolmogorov complexity | faithfulness | independence of conditionals | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | causality
Journal Article
Journal of Econometrics, ISSN 0304-4076, 09/2014, Volume 182, Issue 1, pp. 27 - 44
We construct two classes of smoothed empirical likelihood ratio tests for the conditional independence hypothesis by writing the null hypothesis as an infinite collection of conditional moment... 
Conditional independence | Nonparametric regression | U-statistics | Empirical likelihood | Granger causality | Nonlinear dependence | Local smoothed bootstrap | MONEY | CAUSALITY | MODEL | PARAMETERS | KERNEL ESTIMATORS | DEPENDENCE | MARKOV PROPERTY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | BOOTSTRAP | INCOME | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS
Journal Article
Journal of applied probability, ISSN 0021-9002, 09/2019, Volume 56, Issue 3, pp. 858 - 869
Consider a random vector $\textbf{U}$ whose distribution function coincides in its upper tail with that of an Archimedean copula. We report the fact that the... 
Research Papers | conditional distribution | D-norm | Archimax copula | Archimedean copula | STATISTICS & PROBABILITY | extreme value distribution | domain of attraction | asymptotic tail independence | Probability | Mathematical analysis | Distribution functions
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 2010, Volume 45, Issue 3, pp. 317 - 333
.... We provide sufficient conditions for Cohen–Macaulayness for closed and nonclosed graphs. Binomial edge ideals arise naturally in the study of conditional independence ideals... 
Edge ideals | Binomial ideals | Robustness | Cohen–Macaulay rings | Conditional independence ideals | Cohen-Macaulay rings | MATHEMATICS, APPLIED | GRAPHS | Universities and colleges | Algebra | Mathematical analysis | Collection | Graphs | Generators | Mathematical models | Binomials | Radicals
Journal Article
Annals of Statistics, ISSN 0090-5364, 12/2017, Volume 45, Issue 6, pp. 2618 - 2653
The goal of this paper is to integrate the notions of stochastic conditional independence and variation conditional independence under a more general notion of extended conditional independence... 
Ancillarity | Separoid | Conditional independence | Extended conditional independence | Sufficiency | Causality | sufficiency | FORENSIC IDENTIFICATION | STATISTICS & PROBABILITY | ancillarity | extended conditional independence | separoid | causality
Journal Article
Journal of Mathematical Psychology, ISSN 0022-2496, 12/2013, Volume 57, Issue 6, pp. 275 - 283
.... Answering this question for given data is of high practical relevance since, if the conditional independence assumption is valid, network dynamics can be modeled with simple and computationally... 
Network modeling | SAOM | ERGM | Conditional independence | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EXPONENTIAL FAMILY MODELS | SOCIAL SCIENCES, MATHEMATICAL METHODS | PSYCHOLOGY, MATHEMATICAL | SOCIAL NETWORKS
Journal Article
Journal of statistical planning and inference, ISSN 0378-3758, 2020, Volume 206, pp. 127 - 144
Journal Article
Journal of the Royal Statistical Society. Series B (Statistical Methodology), ISSN 1369-7412, 1/2008, Volume 70, Issue 2, pp. 287 - 309
Journal Article
The Annals of Statistics, ISSN 0090-5364, 12/2009, Volume 37, Issue 6B, pp. 4011 - 4045
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 09/2017, Volume 273, Issue 5, pp. 1663 - 1733
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 01/2016, Volume 108, pp. 9 - 15
Let X be a max-stable random vector with positive continuous density. It is proved that the conditional independence of any collection of disjoint subvectors of X given the remaining components implies their joint independence... 
Markov structure | Conditional independence | Exponent measure | Max-stable random vector | Möbius inversion | Mobius inversion | STATISTICS & PROBABILITY | DEPENDENCE
Journal Article
ACM Transactions on Intelligent Systems and Technology (TIST), ISSN 2157-6904, 11/2019, Volume 10, Issue 5, pp. 1 - 19
We investigate the relationship between conditional independence (CI) x y | Z and the independence of two residuals x −E( x | Z ) y −E( y | Z... 
Causal inference | conditional independence test | causal discovery | independent residual | COMPUTER SCIENCE, INFORMATION SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Journal of Machine Learning Research, ISSN 1533-7928, 10/2006, Volume 7, pp. 2149 - 2187
.... Essentially, a statistical independence test based on the chi-square distribution, associated with the mutual information measure, together with a property of additive decomposition of this measure... 
Learning | Conditional independence tests | Bayesian networks | Scoring functions | Mutual information | SPACE | MARKOV EQUIVALENCE CLASSES | PROBABILISTIC NETWORKS | scoring functions | BELIEF NETWORKS | learning | mutual information | ALGORITHMS | conditional independence tests | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article