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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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
Bernoulli distribution
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
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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):
Leaf count overdispersion in coffee seedlings/Superdispersao relacionado a contagem de folhas em mudas de cafeeiro
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).
Application of Statistical Quality Control Tools for Monitoring of Pharmaceutical Product Properties
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).
Sampling plan for Bemisia tabaci (Hemiptera: Aleyrodidae) in melon crops
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.
Measuring Hospital Performance Using Mortality Rates: An Alternative to the RAMR
The negative binomial distribution adequately described the clumped pattern of S.
Spatial distribution of macrofauna within a sandy beach on the Caribbean coast of Costa Rica/Distribucion espacial de la macrofauna dentro de una playa arenosa de la costa Caribe de Costa Rica
Intuitively, 340 draws from a binomial distribution that produces no 1s, implies that no 1s exist.
STATUS OF FISHERS IN GLACIER NATIONAL PARK, MONTANA
A binomial distribution and a logit link function are again assumed.
Establishing Differences in Thermographic Patterns between the Various Complications in Diabetic Foot Disease
Lord, "Estimating dispersion parameter of negative binomial distribution for analysis of crash data: Bootstrapped maximum likelihood method," Transportation Research Record, no.
Analysis of Nonsevere Crashes on Two- and Four-Lane Urban and Rural Highways: Effects of Wet Pavement Surface Condition
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).
Estimates of the average number of times students say they cheated
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).
Comparative dermatoglyphic study between autistic patients and normal people in Iran
In the two cases, the negative binomial distribution was given as the best fit.
Effectiveness of Physical Barriers Installation for Prevention of Incidents in Mexico City's Subway System
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.
Spatial distribution and sequential sampling of Brevipalpus phoenicis in Citrus/Distribuicao espacial e amostragem sequencial de Brevipalpus phoenicis em Citrus
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