probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials...
16 KB (2,607 words) - 22:14, 10 September 2024
probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a...
51 KB (7,512 words) - 21:59, 19 October 2024
Poisson random variable, and the distribution of k is a Poisson distribution. The Poisson distribution is also the limit of a binomial distribution,...
81 KB (11,248 words) - 16:53, 25 August 2024
the Poisson. The negative binomial distribution has a variance μ / p {\displaystyle \mu /p} , with the distribution becoming identical to Poisson in the...
57 KB (8,547 words) - 15:23, 18 October 2024
mean made by the Poisson model. The traditional negative binomial regression model is based on the Poisson-gamma mixture distribution. This model is popular...
18 KB (2,742 words) - 17:16, 28 August 2024
In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random...
15 KB (2,292 words) - 19:59, 20 May 2024
and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard W. Conway, William...
23 KB (4,363 words) - 20:50, 12 September 2023
other distributions, like the normal, binomial, gamma, and Poisson distributions. The probability density function (pdf) of an exponential distribution is...
42 KB (6,603 words) - 09:43, 11 October 2024
to this distribution are a number of other distributions: the displaced Poisson, the hyper-Poisson, the general Poisson binomial and the Poisson type distributions...
22 KB (2,609 words) - 12:49, 10 February 2024
mixed Poisson distribution is a univariate discrete probability distribution in stochastics. It results from assuming that the conditional distribution of...
9 KB (673 words) - 19:27, 12 November 2023
D = { D : D is a Poisson binomial distribution } {\displaystyle \textstyle PBD=\{D:D~{\text{ is a Poisson binomial distribution}}\}} . The first of...
22 KB (3,845 words) - 17:38, 16 April 2022
Conway–Maxwell–binomial (CMB) distribution is a three parameter discrete probability distribution that generalises the binomial distribution in an analogous...
7 KB (1,438 words) - 18:05, 5 December 2023
incomplete beta function. A Poisson compounded with Log(p)-distributed random variables has a negative binomial distribution. In other words, if N is a...
4 KB (373 words) - 17:12, 4 May 2023
In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable X {\displaystyle X} equal...
10 KB (1,541 words) - 12:27, 6 October 2024
probability distributions used in statistical modeling include the Poisson distribution, the Bernoulli distribution, the binomial distribution, the geometric...
47 KB (6,403 words) - 14:52, 16 August 2024
distributions to possess this property and include the Poisson distribution, negative binomial distribution, and binomial distribution. The Poisson random...
118 KB (15,491 words) - 19:25, 16 October 2024
because a mixture of Poisson distributions with gamma-distributed rates has a known closed form distribution, called negative binomial. In wireless communication...
64 KB (8,972 words) - 09:28, 10 October 2024
When K {\displaystyle K} is Poisson, negative binomial, or binomial, it is said to be Poisson-type (PT). The joint distribution of the collection N ( A )...
10 KB (1,961 words) - 04:02, 9 July 2024
S_{n}=X_{1}+\cdots +X_{n}.} (i.e. S n {\displaystyle S_{n}} follows a Poisson binomial distribution) Then ∑ k = 0 ∞ | Pr ( S n = k ) − λ n k e − λ n k ! | < 2 (...
3 KB (408 words) - 19:02, 20 March 2024
negative binomial distribution, with r = 1 {\displaystyle r=1} . The geometric distribution is a special case of discrete compound Poisson distribution.: 606 ...
35 KB (5,151 words) - 16:22, 20 October 2024
sub-Poissonian distribution has a smaller variance. An example of super-Poissonian distribution is negative binomial distribution. The Poisson distribution is a...
3 KB (413 words) - 07:30, 11 September 2023
rare events or Poisson limit theorem states that the Poisson distribution may be used as an approximation to the binomial distribution, under certain...
4 KB (1,022 words) - 09:46, 11 November 2023
retrieved through the Conway–Maxwell–Poisson distribution. Only the Poisson, binomial and negative binomial distributions satisfy the full form of this relationship...
9 KB (797 words) - 00:42, 5 January 2024
Bernoulli distribution is a special case of the binomial distribution where a single trial is conducted (so n would be 1 for such a binomial distribution). It...
13 KB (2,204 words) - 11:16, 16 September 2024
statistics, binomial regression is a regression analysis technique in which the response (often referred to as Y) has a binomial distribution: it is the...
14 KB (2,055 words) - 17:53, 26 January 2024
are: normal distributions, Poisson distributions, binomial distributions (with common success probability), negative binomial distributions (with common...
21 KB (2,366 words) - 09:24, 10 September 2024
Poisson distribution Poisson binomial distribution Poisson clumping Super-Poissonian distribution Poisson process Compound Poisson process Mixed Poisson process...
3 KB (218 words) - 17:05, 20 March 2022
Bhargava factorial Binomial coefficient Pascal's triangle Binomial distribution Binomial proportion confidence interval Binomial-QMF (Daubechies wavelet...
2 KB (218 words) - 16:34, 12 March 2022
Continuity correction (category Theory of probability distributions)
approximated using a continuous object. If a random variable X has a binomial distribution with parameters n and p, i.e., X is distributed as the number of...
3 KB (378 words) - 21:39, 9 May 2024
distributions, the purely discrete scaled Poisson distribution, and the class of compound Poisson–gamma distributions which have positive mass at zero, but...
49 KB (6,676 words) - 21:11, 9 October 2024