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