• In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random...
    16 KB (2,307 words) - 20:32, 26 April 2025
  • Thumbnail for Poisson distribution
    probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given...
    81 KB (11,215 words) - 08:39, 14 May 2025
  • probability distribution. To be precise, a compound Poisson process, parameterised by a rate λ > 0 {\displaystyle \lambda >0} and jump size distribution G, is...
    4 KB (834 words) - 03:46, 23 December 2024
  • confused with compound Poisson distribution or compound Poisson process. A random variable X satisfies the mixed Poisson distribution with density π(λ)...
    10 KB (1,169 words) - 10:24, 10 June 2025
  • Thumbnail for Negative binomial distribution
    binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound Poisson distribution...
    55 KB (8,245 words) - 10:14, 17 June 2025
  • distributions, the purely discrete scaled Poisson distribution, and the class of compound Poisson–gamma distributions which have positive mass at zero, but...
    49 KB (6,683 words) - 19:56, 2 March 2025
  • statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution that results...
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  • geometric distribution to the nth success. The discrete compound Poisson distribution The parabolic fractal distribution The Poisson distribution, which...
    22 KB (2,620 words) - 07:59, 2 May 2025
  • Zero-inflated model (category Poisson point processes)
    discrete compound Poisson distribution (non-Poisson case) with overdispersion property. Poisson distribution Zero-truncated Poisson distribution Compound Poisson...
    14 KB (1,928 words) - 20:39, 26 April 2025
  • Thumbnail for Logarithmic distribution
    incomplete beta function. A Poisson compounded with Log(p)-distributed random variables has a negative binomial distribution. In other words, if N is a...
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  • Thumbnail for Geometric distribution
    COVID-19. Hypergeometric distribution Coupon collector's problem Compound Poisson distribution Negative binomial distribution Johnson, Norman L.; Kemp...
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  • a Poisson distribution and the number of objects within a cluster follows a geometric distribution. It is a particular case of the compound Poisson distribution...
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  • Thumbnail for Neyman Type A distribution
    probability, the Neyman Type A distribution is a discrete probability distribution from the family of Compound Poisson distribution. First of all, to easily...
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  • \{\mu _{t}\}_{t\geq 0}} with this distribution. Cramér's theorem Indecomposable distribution Compound Poisson distribution Lukacs, E. (1970) Characteristic...
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  • correspond to the Tweedie compound Poisson distribution. (The Tweedie distributions represent a family of scale invariant distributions that serve as foci of...
    66 KB (9,149 words) - 10:47, 6 July 2025
  • Thumbnail for Poisson point process
    statistics and related fields, a Poisson point process (also known as: Poisson random measure, Poisson random point field and Poisson point field) is a type of...
    117 KB (15,356 words) - 23:22, 19 June 2025
  • Dirichlet compound multinomial distribution (DCM) or multivariate Pólya distribution (after George Pólya). It is a compound probability distribution, where...
    39 KB (6,950 words) - 22:13, 25 November 2024
  • Thumbnail for Gamma distribution
    distribution or a Poisson distribution – or for that matter, the λ of the gamma distribution itself. The closely related inverse-gamma distribution is...
    66 KB (9,100 words) - 06:11, 7 July 2025
  • Compositional data Composite bar chart Compound Poisson distribution Compound Poisson process Compound probability distribution Computational formula for the variance...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • our example, if we pick the Gamma distribution as our prior distribution over the rate of the Poisson distributions, then the posterior predictive is...
    33 KB (2,246 words) - 18:05, 28 April 2025
  • Conway–Maxwell–Poisson distribution Panjer recursion Poisson-type random measure Panjer, Harry H. (1981). "Recursive Evaluation of a Family of Compound Distributions"...
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  • Statistics. Feller condition Beta distribution Compound Poisson distribution Gillespie algorithm Kolmogorov equations Poisson point process Stability (probability)...
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  • Thumbnail for Hermite distribution
    Hermite Distribution. In this work established that the Hermite distribution can be obtained formally by compounding a Poisson distribution with a normal...
    19 KB (3,280 words) - 21:00, 18 June 2025
  • discrete-stable distributions can be formed as Poisson compound probability distribution where the mean, λ {\displaystyle \lambda } , of a Poisson distribution is...
    8 KB (1,233 words) - 00:18, 30 April 2025
  • Compound Poisson distribution Conditional Poisson distribution Conway–Maxwell–Poisson distribution Displaced Poisson distribution Geometric Poisson distribution...
    3 KB (218 words) - 17:05, 20 March 2022
  • Overdispersion (category Probability distribution fitting)
    simple parametric models, such as those based on the Poisson distribution. The Poisson distribution has one free parameter and does not allow for the variance...
    8 KB (1,073 words) - 04:33, 9 December 2023
  • Thumbnail for Normal distribution
    to Poisson Distribution". Stat.ucla.edu. Retrieved March 3, 2017. Das, Abhranil (2021). "A method to integrate and classify normal distributions". Journal...
    148 KB (21,531 words) - 15:44, 16 July 2025
  • Thumbnail for Relationships among probability distributions
    are: normal distributions, Poisson distributions, binomial distributions (with common success probability), negative binomial distributions (with common...
    21 KB (2,382 words) - 20:22, 5 May 2025
  • Thumbnail for Student's t-distribution
    data from a normal family as a compound distribution when marginalizing over the variance parameter. Student's t distribution has the probability density...
    55 KB (6,423 words) - 06:46, 1 June 2025
  • accordance with a variance to mean power law and to obey the Tweedie compound Poisson distribution.[11] In this model the regional variations in the SNP map would...
    28 KB (3,257 words) - 20:52, 15 December 2024