probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a...
53 KB (7,554 words) - 03:55, 26 May 2025
probability theory and statistics, the negative binomial distribution is a discrete probability distribution that models the number of failures in a sequence...
55 KB (8,233 words) - 15:19, 3 June 2025
probability theory and statistics, the beta-binomial distribution is a family of discrete probability distributions on a finite support of non-negative integers...
15 KB (2,348 words) - 19:15, 9 February 2025
probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials that...
16 KB (2,600 words) - 13:12, 26 May 2025
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) - 10:19, 10 June 2025
random variable; the distribution of k is a Poisson distribution. The Poisson distribution is also the limit of a binomial distribution, for which the probability...
81 KB (11,215 words) - 08:39, 14 May 2025
Binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations into two categories...
12 KB (1,886 words) - 16:43, 16 February 2025
probability distribution for the Bernoulli, binomial, negative binomial, and geometric distributions. The formulation of the beta distribution discussed...
245 KB (40,562 words) - 12:56, 14 May 2025
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 (2,196 words) - 21:53, 27 April 2025
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
In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts...
39 KB (6,414 words) - 18:15, 11 April 2025
wherein each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of k {\displaystyle k} successes in n...
29 KB (4,095 words) - 17:58, 13 May 2025
univariate probability distributions include the binomial distribution, the hypergeometric distribution, and the normal distribution. A commonly encountered...
48 KB (6,688 words) - 17:43, 6 May 2025
The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which describes...
22 KB (2,620 words) - 07:59, 2 May 2025
Bhargava factorial Binomial coefficient Pascal's triangle Binomial distribution Binomial proportion confidence interval Binomial-QMF (Daubechies wavelet...
2 KB (220 words) - 05:14, 5 March 2025
random variables has a negative binomial distribution. In other words, if N is a random variable with a Poisson distribution, and Xi, i = 1, 2, 3, ... is...
4 KB (377 words) - 20:38, 26 April 2025
formulas for a binomial confidence interval, but all of them rely on the assumption of a binomial distribution. In general, a binomial distribution applies when...
42 KB (6,213 words) - 02:14, 20 May 2025
Birthday problem (redirect from Birthday distribution)
generalized from the distribution of the number of people with their birthday on any particular day, which is a Binomial distribution with probability 1/d...
53 KB (7,117 words) - 20:24, 22 May 2025
Bernoulli trial (redirect from Binomial trial)
corresponding to a binomial experiment is denoted by B ( n , p ) {\displaystyle B(n,p)} , and is said to have a binomial distribution. The probability of...
9 KB (1,320 words) - 17:20, 16 March 2025
the extended negative binomial distribution is a discrete probability distribution extending the negative binomial distribution. It is a truncated version...
4 KB (595 words) - 10:21, 10 June 2025
the generalized inverse Gaussian distribution. Among the discrete distributions, the negative binomial distribution is sometimes considered the discrete...
66 KB (9,100 words) - 05:31, 2 June 2025
square Binomial distribution List of factorial and binomial topics (which contains a large number of related links) Weisstein, Eric W. "Binomial". MathWorld...
4 KB (672 words) - 19:11, 17 May 2025
In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses...
16 KB (2,102 words) - 03:15, 3 June 2025
exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions. The...
43 KB (6,647 words) - 17:34, 15 April 2025
negative binomial distribution, with r = 1 {\displaystyle r=1} . The geometric distribution is a special case of discrete compound Poisson distribution.: 606 ...
35 KB (5,094 words) - 02:03, 20 May 2025
and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two outcomes. As...
8 KB (1,148 words) - 16:24, 10 June 2025
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
priors. A binomial distribution with parameters n = 1 and p is a Bernoulli distribution with parameter p. A negative binomial distribution with parameters...
21 KB (2,382 words) - 20:22, 5 May 2025
compound distribution. Compounding a binomial distribution with probability of success distributed according to a beta distribution yields a beta-binomial distribution...
19 KB (2,698 words) - 12:29, 27 April 2025
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem...
42 KB (6,735 words) - 12:15, 9 June 2025