The conditional independence relation for a triple of σ-algebras is investigated. For certain operations on this relation, necessary and sufficient conditions are derived such that these operations ...

Probability is the theory that allows us to make an inference from a sample to a population. It provides the mathematical and theoretical basis for quantifying uncertainty. Probability is also used ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, moment generating functions, law of large numbers, ...

In this paper results and counterexamples are given to study the relationship between some conditions which appear in the literature on sufficiency, invariance and conditional independence. Journal ...

Author: Chris Boucher (March 2011). This app displays an intricate Venn diagram, containing various combinations of set intersections, unions and complements. Users can shade the area they choose by ...

Observing, gathering knowledge and making predictions are the foundations of the scientific process. The accuracy of our predictions depends on the quality of our present knowledge and accuracy of our ...

This course is available on the BSc in Data Science, BSc in Mathematics with Data Science and BSc in Mathematics, Statistics and Business. This course is available as an outside option to students on ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of ...