binomial distribution

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binomial distribution

n.
The frequency distribution of the probability of a specified number of successes in an arbitrary number of repeated independent Bernoulli trials. Also called Bernoulli distribution.

binomial distribution

n
(Statistics) a statistical distribution giving the probability of obtaining a specified number of successes in a specified number of independent trials of an experiment with a constant probability of success in each. Symbol: Bi (n, p), where n is the number of trials and p the probability of success in each

bino′mial distribu′tion


n.
a statistical distribution giving the probability of obtaining a specified number of successes in a finite set of independent trials in which the probability of a success remains the same from trial to trial.
[1910–15]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.binomial distribution - a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
distribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
References in periodicals archive ?
We used the negative binomial distributions fitted to the Ebola transmission data for the offspring distribution.
The Wald error is most widely used for binomial distributions, including digital PCR applications (22, 24).
The beta-binomial model is a combined model of the beta and binomial distributions.
For this research, symmetric interaction matrices were generated for each match played by the Geelong Football Club in 2011 and negative binomial distributions (nbd) fitted to each player pair in the matrix so that their interaction frequency could be simulated.
The three most common statistical distributions are the normal, Poisson and binomial distributions.
2003) considered Poisson and binomial distributions and compared them with their corresponding mixtures, with respect to various stochastic orderings.
Guillen, 2008, Models of Insurance Claim Counts With Time Dependence Based on Generalisation of Poisson and Negative Binomial Distributions, Variance, 2(1): 135-162.
of Alabama) makes sure students understand why they are making decisions about statistical design and analysis as he covers organizing data, creating charts and graphs, measuring averages and dispersion, handling probability theory and the normal probability distribution, using probability theory to produce sampling distributions, estimating parameters using confidence intervals, testing hypotheses, comparing the means of two groups by using the f-test for bivariate relationships, analyzing variance experiences amongst three or more groups, figuring nominal variables through the chi-square and binomial distributions, and performing bivariate correlation and regression.
Introductory chapters bring readers up to date with the mathematics, probability and statistics preliminaries, with the chapters following describing families of discrete distributions, binomial distributions and negative binomial distribution, Poisson and hypergeometric distributions, logarithmic and Lagrangian distributions, mixture and stopped-sum distributions, matching, occupancy, runs, and q-series distributions, and parametric regression models.
However, these resulting binomial distributions Binom(5, .