Graphical Models In Applied Multivariate Statistics

By Jessika Weiss. 2016

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ppcor: An R Package for a Fast Calculation to Semi-partial Correlation Coefficients (2015, methodology): “(Whittaker, 1990) The partial correlation of x i and x j given a random vector X S ( = X ( i ; j ) ), r ij | S , is equal to where X S ( = X ( i ; j ) ) is the random sub-vector of X after removing the random variables x i and x j and its size is | S | ( = | X | − 2 ).”
Graph Signal Processing: Overview, Challenges, and Applications (2017, background): “3) Graphical models: The focus in this area is on inference and learning from large datasets, [26], [27], [28], [29], [30].”
A metric and frameworks for resilience analysis of engineered and infrastructure systems (2014, background): “With these thoughts in mind, recall that the entropy in the joint distribution of the event generation model, model parameters, and expert (or prior) parameters is [2,33]:”
Total positivity in Markov structures (2015, methodology): “The data were reported in [25] and analyzed, for example, in [12, 15, 47].”
Linear vs. quadratic discriminant analysis classifier: a tutorial (2016, background): “value indicates negative correlation and zero value indicates that the two variables are uncorrelated or statistically independent (Whittaker, 2009).”