binomial distribution

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Related to binomial distribution: Poisson distribution, normal distribution

bi·no·mi·al dis·tri·bu·tion

1. a probability distribution associated with two mutually exclusive outcomes, for example, presence or absence of a clinical sign.
2. the possible array of the number of successes in the outcomes from a fixed number, n, of independent Bernoulli trials; the probabilities associated with each constitute a binomial process of order n.

binomial distribution

The outcomes of a binomial experiment with their corresponding discrete probability distribution.

Ber·noul·li dis·tri·bu·tion

(ber-nū'lē dis'tri-byū'shŭn)
Probability distribution that describes likelihood of various combinations of two alternate outcomes in a series of independent trials.
Synonym(s): binomial distribution.
[Jakob Bernoulli, 1654-1705, Swiss mathematician]


composed of two terms, e.g. names of organisms formed by combination of genus and species names.

binomial distribution
categorization of a group into two mutually exclusive subgroups, e.g. sick and not sick.
binomial population
a population which can be divided into a binomial distribution.


the arrangement of numerical data. The arrangement may be in accordance with magnitude, a frequency distribution, or in relation to geographical location, a spatial distribution.

age distribution
see age distribution.
bimodal distribution
the distribution has two regions of high frequency of observations separated by a zone of low frequency.
binomial distribution
a probability distribution associated with two mutually exclusive outcomes.
cluster distribution
a nonrandom distribution with observations aggregating about geographic or temporal variables. May be deceptive and merely reflect the distribution of an uneven population.
frequency distribution
a table or graph of the frequency of occurrence of each value of a variable.
Gaussian distribution
see normal distribution (below).
hypergeometric distribution
may apply to sampling without replacement of a finite population.
lognormal distribution
a distribution which is normal when the log values of the variable are considered.
normal distribution
a graph of the distribution appears as a bell-shaped curve which is symmetrical on the two sides of the vertical axis through the peak of the curve. Called also gaussian distribution.
parent distribution
the distribution (population) that was originally sampled.
Poisson distribution
regular distribution
distributed at regular intervals of time or space; all values within its given interval are equally likely.
sex distribution
an increase in frequency in one sex, which includes neutered males and neutered females. Called also sex-linked or sex-associated.
skewed distribution
a distribution in which the curve illustrating it is not symmetrical but has a long tail on one or other side of the graph.
spatial distribution
variations in distribution related to position in space, e.g. close to the door of a barn.
see t-test.
temporal distribution
variation in distribution related to time, e.g. occurrence of disease incidents after visits by veterinarians, inseminators, feed salesmen.
References in periodicals archive ?
If multiple admissions are not possible, use a chi-square test based on the binomial distribution (Equation 5).
The range of the binomial distribution is between 0 and m.
The simulations were carried out by fitting unique negative binomial distributions to each player pairing in a side
For example, according to the negative binomial distribution, the expected number of players that would have hit 100 or more home runs is 0.
For insureds who reported at least once, the predictive distribution returns to a standard multivariate negative binomial distribution because the first parts of the numerator and the denominator of Equation (31) fall.
Besides sampling effects following the binomial distribution, real regional differences in proliferation indices can exist within breast cancers.
In the standard case of binomial distribution, the likelihood function L(E | [phi]) has been derived for several standard form of evidence (Siu and Kelly 1998).
The quantity CL can be loosely interpreted as the likelihood that any such system conforming to a binomial distribution with m successes in a series of n independent trials will have a true PD value greater or equal to a chosen value, [PD.
An evaluation using scores and the binomial distribution does not take account of the scale of errors, and a forecast that is marginally better than its competitors in most cases, but much worse in the remainder, might be considered a poor forecast.
For all days, trap distributions were not significantly different from the negative binomial distribution (p>0.
Yet, a binomial distribution can be defined by either the number of successes as well as by the number of failures.
The results of independent trials with dichotomous outcomes can be modeled with a binomial distribution.