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Probability And Statistics

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7 domain-specific abstractions whose origin domain is Probability And Statistics.

  • Base Rate — The prevalence or prior probability of a class before case-specific evidence is incorporated.
  • Empirical process — A stochastic process indexing the centered and scaled difference between an empirical measure and its population expectation over a class of functions or sets.
  • Generalized inverse Gaussian distribution — A three-parameter positive continuous distribution with density proportional to x^{p−1}exp[−(ax+b/x)/2], normalized by a modified Bessel K function and containing inverse Gaussian and gamma-related limits.
  • Probabilistic Graphical Model — A statistical model whose graph and declared Markov semantics encode conditional independences and a corresponding factorization of a joint probability law into local terms.
  • Q-Weibull distribution — A positive distribution formed by replacing the Weibull exponential with a q-exponential, recovering Weibull at q=1 and allowing compact-support or heavy-tail behavior according to q.
  • Quantile — A distribution cut point at or below which a specified cumulative probability lies, defined through a generalized inverse when the distribution has jumps or flat regions.
  • Uncorrelatedness — A second-moment relation in which two random variables or vectors have zero covariance, excluding linear association without generally implying independence.