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

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 ?
The next two subsections describe two members of this class, the Poisson-Bernoulli distribution and the negative binomial distribution.
2)] denotes a random variable with a negative binomial distribution with parameters [n.
a) The error terms following each estimate are 95% confidence intervals derived from the binomial distribution.
We fit the transmission data from patients within subgroups to the negative binomial distribution with mean R and dispersion parameter k, which characterizes individual variation in transmission, including the likelihood of superspreading events (i.
Using a novel statistical approach based on the Generalized Binomial Distribution (Drezner and Farnum, 1993), this paper investigates whether some mutual funds provide positive [alpha]'s over time as a result of skill.
When fitting a negative binomial distribution to the entire pond using a Chi-Square test, the distribution was not statistically different from a negative binomial distribution at P = 0.
The pR values for each individual in the simulated populations were created by sampling from a binomial distribution with probability of "success" equal to the value of pR under the null hypothesis being tested.
26) The binomial distribution is universally accepted by statisticians and is commonly used in science and industry for predicting events such as the number of patients who will have an adverse reaction to a drug or the probability of a sports team winning a series of games.
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.
On the basis of the analysis of the binomial distribution, it becomes clear that 181 cases marked the choices very much, much, or moderate.
For this reason, the negative binomial distribution (nbd) was deemed more appropriate than Poisson.
As an example of a discovered statistical distribution, let's consider the binomial distribution.