Meaning of conditional probability distribution | Babel Free

Definitions

The probability distribution of a random variable given the known outcome of another random variable.

Examples

“1999, Anders L. Madsen, Bruce D'Ambrosio, Lazy Propagation and Independence of Causal Influence⟳, Anthony Hunter, Simon Parsons, Symbolic and Quantitative Approaches to Reasoning and Uncertainty, Springer, page 293, A Bayesian network consists of a directed, acyclic graph and a set⟳ of conditional probability distributions. For each variable in the graph there is a conditional probability distribution of the variable given its parents.”

“2010, Philipp Koehn, Statistical Machine Translation, Cambridge University Press⟳, page 69, Note⟳ that for two independent random variables X and Y, the conditional probability distribution p(x|y) is the same as simply p(y).”

“2015, Iman Behmanesh, Babak Moaveni, Geert Lombaert, Costas Papadimitriou, Chapter 6: Hierarchical Bayesian Model⟳ Updating for Probabilistic Damage⟳ Identification, H. Sezer Atamturktur, Babak Moaveni, Costas Papadimitriou, Tyler Schoenherr (editors), Model⟳ Validation and Uncertainty Quantification, Volume 3: Proceedings of the 33rd IMAC, Springer, page 58, Alternatively, Laplace asymptotic approximation can be used to approximate the conditional probability distributions of θ₁ in Eq. (6.12) as a Gaussian distribution to simplify⟳ the sampling process⟳.”

CEFR level