binomial distribution

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Related to binomial distribution: Poisson distribution, normal distribution

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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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
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References in periodicals archive ?
resulting in a negative binomial distribution, which was obtained by mixing the distributions cited in (4) and (5):
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).
Analysis of variance of Bemisia tabaci adult density, sampled in 12 melon fields, to assess the dispersion parameter of the common negative binomial distribution (Kcommon).
Under the Poisson binomial distribution, the expected number of deaths would equal the expected number under the traditional binomial distribution but the variance of the number of deaths would be smaller.
Intuitively, 340 draws from a binomial distribution that produces no 1s, implies that no 1s exist.
Lord, "Estimating dispersion parameter of negative binomial distribution for analysis of crash data: Bootstrapped maximum likelihood method," Transportation Research Record, no.
Regarding the fitting of the binomial distribution, if as n increases, p decreases such that n * p remains constant, then the binomial distribution approaches the Poisson distribution; see Mood, Graybill, and Boes (1974).
The data were analyzed using the Mann--Whitney nonparametric test and binomial distribution. There was a significant difference in the distribution of the dermatoglyphic patterns on the right and left thumbs and the index fingers between the case and control groups (P<0.05).
In the two cases, the negative binomial distribution was given as the best fit.
To study the degree of aggregation of the mites, we used the following indices of aggregation: variance/mean ratio (I) (Rabinovich, 1980), Morisita index ([I.sub.[delta]]) (MORISITA, 1962), Green's coefficient ([C.sub.x]) (GREEN, 1966), and k parameter of negative binomial distribution (BLISS and FISHER, 1953; SOUTHWOOD, 1978; ELLIOT, 1979), calculated using the maximum likelihood method.

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