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  2. Joint probability distribution - Wikipedia

    en.wikipedia.org/wiki/Joint_probability_distribution

    If the points in the joint probability distribution of X and Y that receive positive probability tend to fall along a line of positive (or negative) slope, ρ XY is near +1 (or −1). If ρ XY equals +1 or −1, it can be shown that the points in the joint probability distribution that receive positive probability fall exactly along a straight ...

  3. Marginal distribution - Wikipedia

    en.wikipedia.org/wiki/Marginal_distribution

    The marginal probability P(H = Hit) is the sum 0.572 along the H = Hit row of this joint distribution table, as this is the probability of being hit when the lights are red OR yellow OR green. Similarly, the marginal probability that P(H = Not Hit) is the sum along the H = Not Hit row.

  4. Conditional mutual information - Wikipedia

    en.wikipedia.org/wiki/Conditional_mutual_information

    Download as PDF; Printable version; ... where the marginal, joint, ... joint, and/or conditional probability density functions are denoted by ...

  5. Distribution of the product of two random variables - Wikipedia

    en.wikipedia.org/wiki/Distribution_of_the...

    The joint pdf () exists in the -plane and an arc of constant value is shown as the shaded line. To find the marginal probability f Z ( z ) {\displaystyle f_{Z}(z)} on this arc, integrate over increments of area d x d y f ( x , y ) {\displaystyle dx\,dy\;f(x,y)} on this contour.

  6. Copulas in signal processing - Wikipedia

    en.wikipedia.org/wiki/Copulas_in_signal_processing

    Using the chain rule, copula distribution function can be partially differentiated with respect to the uniformly distributed variables of copula, and it is possible to express the multivariate probability density function (PDF) as a product of a multivariate copula density function and marginal PDF''s. [2]

  7. Copula (statistics) - Wikipedia

    en.wikipedia.org/wiki/Copula_(statistics)

    In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each variable is uniform on the interval [0, 1]. Copulas are used to describe/model the dependence (inter-correlation) between random variables . [ 1 ]

  8. Conditional probability table - Wikipedia

    en.wikipedia.org/wiki/Conditional_probability_table

    The first column sum is the probability that x =0 and y equals any of the values it can have – that is, the column sum 6/9 is the marginal probability that x=0. If we want to find the probability that y=0 given that x=0, we compute the fraction of the probabilities in the x=0 column that have the value y=0, which is 4/9 ÷

  9. Contingency table - Wikipedia

    en.wikipedia.org/wiki/Contingency_table

    Pivot table, in spreadsheet software, cross-tabulates sampling data with counts (contingency table) and/or sums. TPL Tables is a tool for generating and printing crosstabs. The iterative proportional fitting procedure essentially manipulates contingency tables to match altered joint distributions or marginal sums.