• Thumbnail for Joint probability distribution
    same probability space, the multivariate or joint probability distribution for X , Y , … {\displaystyle X,Y,\ldots } is a probability distribution that...
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  • In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the...
    15 KB (1,993 words) - 02:16, 22 May 2025
  • 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...
    48 KB (6,688 words) - 17:43, 6 May 2025
  • event. Given two jointly distributed random variables X {\displaystyle X} and Y {\displaystyle Y} , the conditional probability distribution of Y {\displaystyle...
    13 KB (2,162 words) - 18:42, 15 July 2025
  • Thumbnail for Probability density function
    x1, ..., Xn ≤ xn) is the cumulative distribution function of the vector (X1, ..., Xn), then the joint probability density function can be computed as...
    31 KB (4,975 words) - 11:02, 30 July 2025
  • Many probability distributions that are important in theory or applications have been given specific names. The Bernoulli distribution, which takes value...
    22 KB (2,620 words) - 07:59, 2 May 2025
  • considerations to be based on the probability distribution of a statistic, rather than on the joint probability distribution of all the individual sample values...
    7 KB (731 words) - 13:59, 4 April 2025
  • Thumbnail for Cumulative distribution function
    In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution...
    26 KB (4,110 words) - 19:15, 28 July 2025
  • probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution...
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  • population parameter that can be seen as a property of the joint probability distribution, and (2) the sample covariance, which in addition to serving...
    29 KB (4,754 words) - 01:56, 4 May 2025
  • Thumbnail for Poisson distribution
    In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a...
    82 KB (11,307 words) - 16:24, 2 August 2025
  • distinguished: A generative model is a statistical model of the joint probability distribution P ( X , Y ) {\displaystyle P(X,Y)} on a given observable variable...
    19 KB (2,431 words) - 15:33, 11 May 2025
  • catalog of articles in probability theory. For distributions, see List of probability distributions. For journals, see list of probability journals. For contributors...
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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...
    149 KB (21,749 words) - 21:46, 22 July 2025
  • Thumbnail for Multivariate normal distribution
    In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization...
    65 KB (9,607 words) - 21:52, 1 August 2025
  • 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...
    53 KB (7,559 words) - 21:23, 29 July 2025
  • of joint probability distributions of a stationary process or stationary time series In some fields of application, the term stable distribution is used...
    2 KB (253 words) - 00:29, 19 June 2024
  • or the joint distribution of random variables respectively, using conditional probabilities. This rule allows one to express a joint probability in terms...
    9 KB (2,359 words) - 02:27, 24 November 2024
  • with distributions for statistically dependent multivariate data. Here the problem of defining or manipulating a joint probability distribution for a...
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  • Thumbnail for Degenerate distribution
    probability theory, a degenerate distribution on a measure space ( E , A , μ ) {\displaystyle (E,{\mathcal {A}},\mu )} is a probability distribution whose...
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  • unknown joint probability distribution for x → {\displaystyle {\vec {x}}} and y {\displaystyle y} . Without knowing the joint probability distribution ρ {\displaystyle...
    11 KB (1,568 words) - 04:31, 2 June 2025
  • Thumbnail for Symmetric probability distribution
    probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability...
    9 KB (609 words) - 15:55, 22 March 2024
  • Thumbnail for Beta distribution
    In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1)...
    245 KB (40,559 words) - 20:35, 30 June 2025
  • Thumbnail for Bernoulli distribution
    In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution...
    13 KB (2,196 words) - 21:53, 27 April 2025
  • while joint probability mass function or probability density function as f ( x , y ) {\displaystyle f(x,y)} and joint cumulative distribution function...
    11 KB (1,502 words) - 07:32, 24 June 2025
  • In probability theory and statistics, a categorical distribution (also called a generalized Bernoulli distribution, multinoulli distribution) is a discrete...
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  •  X2, X3, ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which...
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  • Thumbnail for Independence (probability theory)
    are independent if the realization of one does not affect the probability distribution of the other. When dealing with collections of more than two events...
    28 KB (4,646 words) - 16:26, 15 July 2025
  • Thumbnail for Kalman filter
    accurate than those based on a single measurement, by estimating a joint probability distribution over the variables for each time-step. The filter is constructed...
    127 KB (20,447 words) - 05:33, 8 June 2025
  • mean and variance, do not change over time. More formally, the joint probability distribution of the process remains the same when shifted in time. This implies...
    24 KB (3,206 words) - 18:23, 17 July 2025