# binomial distribution

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Related to binomial distributions: Normal distributions, Poisson distributions

## 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:
 Noun 1 binomial distribution - a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of successBernoulli distributiondistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistics - 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 ?
The course is a review of the fundamentals of-descriptive epidemiology and biostatistics, measures of association, normal and binomial distributions, confounding, statistical tests, stratification, logistic regression, models, and use of computers in epidemiology.
Topics include advanced measures of association, normal and binomial distributions, logistic regression, field investigations, and summary of statistical methods.
Topics include advanced measures of association, normal and binomial distributions, logistical regression, field investigations, and summary of statistical methods.
However, modifications have been implemented by the use of the method proposed by Laney in attribute control charts to correct for over- or under-dispersion and avoid problems with data that do not follow Poisson or Binomial distributions (Laney, 2002).
tabaci densities were calculated according to the negative binomial, Poisson, and positive binomial distributions through Microsoft Excel spreadsheets.
TABLE 2--Results of the chi-square goodness-of-fit test for the Poisson and negative binomial distributions for Brevipalpus phoenicis in citrus in two blocks.
[6] suggested the modified median unbiased estimator (MMUE) in two independent binomial distributions. Let p be the estimator of success probability which satisfies
We used the negative binomial distributions fitted to the Ebola transmission data for the offspring distribution.
The beta-binomial model is a combined model of the beta and binomial distributions. The binomial distribution is a discrete probability distribution arising when the probability of success (p) in each of a fixed or known number of Bernoulli trials (n)is either unknown or random.
Negative binomial distributions were fitted to all pairs of players within a side so that interactions between players could be simulated prior to a match.
The main technique to be used is an iteration involving the tail probability of binomial distributions [3, 21].
The normal, binomial, Poisson, gamma, inverse normal, and negative binomial distributions are members of the exponential family.

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