distribution
n
1 the act of distributing or the state or manner of being distributed
2 a thing or portion distributed
3 arrangement or location
4 (Commerce) the process of physically satisfying the demand for goods and services
5 (Economics) the division of the total income of a community among its members, esp. between labour incomes (wages and salaries) and property incomes (rents, interest, and dividends)
6 (Statistics) the set of possible values of a random variable, or points in a sample space, considered in terms of new theoretical or observed frequency
a normal distribution
7 (Law) the apportioning of the estate of a deceased intestate among the persons entitled to share in it
8 (Law) the lawful division of the assets of a bankrupt among his creditors
a the division of part of a company's profit as a dividend to its shareholders
b the amount paid by dividend in a particular distribution
10 (Engineering) the way in which the fuel-air mixture is supplied to each cylinder of a multicylinder internal-combustion engine ♦
distributional adj
bimodal distribution
n (Statistics) a frequency distribution with two modes
binomial distribution
n 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
chi-square distribution
n (Statistics) a continuous single-parameter distribution derived as a special case of the gamma distribution and used esp. to measure goodness of fit and to test hypotheses and obtain confidence intervals for the variance of a normally distributed variable
cumulative distribution function
n (Statistics) a function defined on the sample space of a distribution and taking as its value at each point the probability that the random variable has that value or less. The function F(x) = P(X<leeq>x) where X is the random variable, which is the sum or integral of the probability density function of the distribution, (Sometimes shortened to)
distribution function
distribution channel
n (Marketing) the network of organizations, including manufacturers, wholesalers, and retailers, that distributes goods or services to consumers
distribution function
n short for →
cumulative distribution function
exponential distribution
n (Statistics) a continuous single-parameter distribution used esp. when making statements about the length of life of certain materials or waiting times between randomly occurring events. Its density function is p(x) = λe--λx for positive λ and nonnegative x, and it is a special case of the gamma distribution
F distribution
n (Statistics) a continuous distribution obtained from the ratio of two chi-square distributions and used esp. to test the equality of the variances of two normally distributed variances
frequency distribution
n (Statistics) the function of the distribution of a sample corresponding to the probability density function of the underlying population and tending to it as the sample size increases, the set of relative frequencies of sample points falling within given intervals of the range of the random variable
gamma distribution
n (Statistics) a continuous two-parameter distribution from which the chi-square and exponential distributions are derived, written Ga(2,v), and defined in terms of the gamma function
Gaussian distribution
n another name for →
normal distribution
geometric distribution
n (Statistics) the distribution of the number, x, of independent trials required to obtain a first success: where the probability in each is p, the probability that x = r is p(1 --p)r--1, with mean 1/p
See also →
Bernoulli trial
normal distribution
n (Statistics) a continuous distribution of a random variable with its mean, median, and mode equal, the probability density function of which is given by (exp[(x--μ)2/2σ2]/σsquare root (2π)) where μ is the mean and σ2 the variance, (Also called)
Gaussian distribution
Poisson distribution
n (Statistics) a distribution that represents the number of events occurring randomly in a fixed time at an average rate λ; symbol P0(λ). For large n and small p with np = λ it approximates to the binomial distribution Bi(n,p)
(C19: named after S. D. Poisson)
standard normal distribution
n (Statistics) a normal distribution with mean zero and variance 1, with probability density function [exp(--½x2)]/square root 2π
t distribution
n See →
Student's t