Let (Ω, F, P) be a probability space, and let X be a random variable defined on (Ω, F, P). If A is a sub σ-field of F, then E(X ∣ A) is the a.s. unique A measurable function such that, for all A ε A, ...
An introduction to the fundamental ideas in probability important for data scientists and statisticians. The core concepts of combinatorics, expectation, variance ...
This is a preview. Log in through your library . Abstract Formulas are given for the expectation and variance of the number of components for two definitions of random graphs. The results extend those ...