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  2. Poisson distribution - Wikipedia

    en.wikipedia.org/wiki/Poisson_distribution

    In probability theory and statistics, the Poisson distribution (/ ˈ p w ɑː s ɒ n /; French pronunciation:) is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate and independently of the time since the last event. [1]

  3. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    A discrete power-law distribution, the most famous example of which is the description of the frequency of words in the English language. The Zipf–Mandelbrot law is a discrete power law distribution which is a generalization of the Zipf distribution. Conway–Maxwell–Poisson distribution Poisson distribution Skellam distribution

  4. Zero-truncated Poisson distribution - Wikipedia

    en.wikipedia.org/wiki/Zero-truncated_Poisson...

    This distribution is also known as the conditional Poisson distribution [1] or the positive Poisson distribution. [2] It is the conditional probability distribution of a Poisson-distributed random variable, given that the value of the random variable is not zero. Thus it is impossible for a ZTP random variable to be zero.

  5. Compound Poisson distribution - Wikipedia

    en.wikipedia.org/wiki/Compound_Poisson_distribution

    The shift geometric distribution is discrete compound Poisson distribution since it is a trivial case of negative binomial distribution. This distribution can model batch arrivals (such as in a bulk queue [5] [9]). The discrete compound Poisson distribution is also widely used in actuarial science for modelling the distribution of the total ...

  6. Relationships among probability distributions - Wikipedia

    en.wikipedia.org/wiki/Relationships_among...

    Examples: [3] [4] If X 1 and X 2 are Poisson random variables with means μ 1 and μ 2 respectively, then X 1 + X 2 is a Poisson random variable with mean μ 1 + μ 2. The sum of gamma (α i, β) random variables has a gamma (Σα i, β) distribution.

  7. Poisson regression - Wikipedia

    en.wikipedia.org/wiki/Poisson_regression

    In statistics, Poisson regression is a generalized linear model form of regression analysis used to model count data and contingency tables. [1] Poisson regression assumes the response variable Y has a Poisson distribution, and assumes the logarithm of its expected value can be modeled by a linear combination of unknown parameters.

  8. Dufrene was arrested for simple burglary, copper theft, two counts of posession or distribution of drugs without a prescription, posession of marijuana, and posession of stolen property valued under $500, according to the Times-Picayune. Dufrene died of endocarditis, according to the coroner. Jail or Agency: East Baton Rouge Prison; State ...

  9. Mixed Poisson distribution - Wikipedia

    en.wikipedia.org/wiki/Mixed_Poisson_distribution

    A mixed Poisson distribution is a univariate discrete probability distribution in stochastics. It results from assuming that the conditional distribution of a random variable, given the value of the rate parameter, is a Poisson distribution, and that the rate parameter itself is considered as a random variable.

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