• In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome...
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  • Thumbnail for Conditional probability
    In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption...
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  • Thumbnail for Joint probability distribution
    other variables, and the conditional probability distribution giving the probabilities for any subset of the variables conditional on particular values of...
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  • of the other variables. This contrasts with a conditional distribution, which gives the probabilities contingent upon the values of the other variables...
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  • of a random variable. The resulting conditional probability distribution is a parametrized family of probability measures called a Markov kernel. Consider...
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  • Thumbnail for Conditional independence
    In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of...
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  • The posterior probability is a type of conditional probability that results from updating the prior probability with information summarized by the likelihood...
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  • variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on only a finite number...
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  • field Conditional random field Borel–Cantelli lemma Wick product Conditioning (probability) Conditional expectation Conditional probability distribution Regular...
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  • The axioms of probability Boole's inequality Probability interpretations Bayesian probability Frequency probability Conditional probability The law of total...
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  • (LR), conditional random fields (CRFs), decision trees among many others. Generative model approaches which uses a joint probability distribution instead...
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  • Thumbnail for Markov chain
    of these to states. The Markov property states that the conditional probability distribution for the system at the next step (and in fact at all future...
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  • the conditional probability table (CPT) is defined for a set of discrete and mutually dependent random variables to display conditional probabilities of...
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  • In probability theory and statistics, a conditional variance is the variance of a random variable given the value(s) of one or more other variables. Particularly...
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  • This distribution is also known as the conditional Poisson distribution or the positive Poisson distribution. It is the conditional probability distribution...
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  • Thumbnail for Pareto distribution
    Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, is a power-law probability distribution that is...
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  • Many probability distributions that are important in theory or applications have been given specific names. The Bernoulli distribution, which takes value...
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  • Thumbnail for Independence (probability theory)
    often is also used for conditional independence) if and only if their joint probability equals the product of their probabilities:: p. 29 : p. 10  A ∩ B...
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  • Thumbnail for Normal distribution
    In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...
    151 KB (22,720 words) - 14:33, 14 June 2025
  • In probability theory and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite...
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  • Thumbnail for Probability distribution
    In probability theory and statistics, a probability distribution is a function that gives the probabilities of occurrence of possible events for an experiment...
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  • formalized in probability theory by conditioning. Conditional probabilities, conditional expectations, and conditional probability distributions are treated...
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  • the joint distribution of random variables respectively, using conditional probabilities. This rule allows one to express a joint probability in terms...
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  • Thumbnail for Exponential distribution
    In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...
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  • automaton a stochastic kernel In statistics and probability theory, the conditional probability distribution function controlling the transitions of a stochastic...
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  • expectation Conditional independence Conditional probability Conditional probability distribution Conditional random field Conditional variance Conditionality principle...
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  • Thumbnail for Binomial distribution
    In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes...
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  • the conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution...
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  • Thumbnail for Scoring rule
    observed value, scoring rules assign such a score to a predicted probability distribution and an observed value. On the other hand, a scoring function provides...
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  • In probability and statistics, memorylessness is a property of probability distributions. It describes situations where previous failures or elapsed time...
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