• theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained...
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  • Thumbnail for Joint probability distribution
    number of random variables. The joint distribution encodes the marginal distributions, i.e. the distributions of each of the individual random variables...
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  • in 2001 Marginal (manga) El Marginal, Argentine TV series Marginal seat or marginal constituency or marginal, in politics Marginalism Marginal analysis...
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  • map distribution more precisely, therefore finding a range extension for species, especially marine species, is not an uncommon occurrence. Marginal distributions...
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  • Thumbnail for Dirichlet distribution
    where a Dirichlet prior distribution is placed over a set of categorical-valued observations, the marginal joint distribution of the observations (i.e...
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  • Thumbnail for Multivariate normal distribution
    properties of the expectation of a truncated normal distribution. To obtain the marginal distribution over a subset of multivariate normal random variables...
    65 KB (9,519 words) - 21:04, 16 November 2024
  • _{m}^{2}} gives the marginal distribution of each of the elements on the matrix's diagonal. George Seber points out that the Wishart distribution is not called...
    27 KB (4,206 words) - 04:50, 21 November 2024
  • Thumbnail for Student's t-distribution
    compound distribution when marginalizing over the variance parameter. In statistics, the t distribution was first derived as a posterior distribution in 1876...
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  • distribution, a special distribution for a Markov chain such that if the chain starts with its stationary distribution, the marginal distribution of all states...
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  • The marginal revenue productivity theory of wages is a model of wage levels in which they set to match to the marginal revenue product of labor, M R P...
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  • probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the...
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  • frequency distributions are often presented as (two-way) contingency tables: The total row and total column report the marginal frequencies or marginal distribution...
    13 KB (1,584 words) - 17:05, 16 October 2024
  • called a scale mixture. The compound distribution ("unconditional distribution") is the result of marginalizing (integrating) over the latent random variable(s)...
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  • Thumbnail for Binomial distribution
    the marginal distribution is a binomial distribution are well-established. One way to generate random variates samples from a binomial distribution is...
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  • Thumbnail for Exponential distribution
    If also λ ~ Gamma(k, θ) (shape, scale parametrisation) then the marginal distribution of X is Lomax(k, 1/θ), the gamma mixture λ1X1 − λ2Y2 ~ Laplace(0...
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  • Thumbnail for Gamma distribution
    where I G {\displaystyle IG} denotes the Inverse-gamma distribution, then the marginal distribution x ∼ β ′ ( k , b ) {\displaystyle x\sim \beta '(k,b)}...
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  • Thumbnail for Law of total probability
    of total variance Law of total covariance Law of total cumulance Marginal distribution Zwillinger, D., Kokoska, S. (2000) CRC Standard Probability and...
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  • approximate the joint distribution (e.g., to generate a histogram of the distribution); to approximate the marginal distribution of one of the variables...
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  • Thumbnail for Inverse-gamma distribution
    gamma distribution. Perhaps the chief use of the inverse gamma distribution is in Bayesian statistics, where the distribution arises as the marginal posterior...
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  • Copula (statistics) (category Systems of probability distributions)
    a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each variable is uniform on the interval [0...
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  • process are:[citation needed] The marginal distribution of a gamma process at time t {\displaystyle t} is a gamma distribution with mean γ t / λ {\displaystyle...
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  • Thumbnail for Mutual information
    how different the joint distribution of the pair ( X , Y ) {\displaystyle (X,Y)} is from the product of the marginal distributions of X {\displaystyle X}...
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  • three points on the marginal distribution, unlike D4σ and knife-edge widths that depend on the integral of the marginal distribution. 1/e2 width measurements...
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  • Thumbnail for Quantum tomography
    corresponding to that particular quadrature. This is called the marginal distribution, p r ( X ) {\displaystyle \mathrm {pr} (X)} or p r ( P ) {\displaystyle...
    37 KB (5,517 words) - 16:24, 21 September 2024
  • Unfortunately, marginal likelihoods are generally difficult to compute. Exact solutions are known for a small class of distributions, particularly when...
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  • Thumbnail for Normal-inverse-gamma distribution
    +1}\exp \left(-{\frac {2\beta +(x-\mu )^{2}}{2\sigma ^{2}}}\right)} Marginal distribution over x {\displaystyle x} is f ( x ∣ μ , α , β ) = ∫ 0 ∞ d σ 2 f...
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  • as Bayesian networks and Markov random fields. It calculates the marginal distribution for each unobserved node (or variable), conditional on any observed...
    29 KB (4,323 words) - 20:57, 11 November 2024
  • Laplace distributions are extensions of the Laplace distribution and the asymmetric Laplace distribution to multiple variables. The marginal distributions of...
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  • Thumbnail for Estimation of distribution algorithm
    approach factorizes the joint probability distribution in the product of multivariate marginal distributions. Assume T eCGA = { τ 1 , … , τ Ψ } {\displaystyle...
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  • approximate the marginal using the maximum likelihood estimate (MLE). But since the posterior is a gamma distribution, the MLE of the marginal turns out to...
    16 KB (2,483 words) - 10:48, 5 October 2024