geometric distributionn.
/ˌdʒiːəˌmɛtrɪk dɪstrᵻˈbjuːʃn/, /dʒɪəˌmɛtrɪk dɪstrᵻˈbjuːʃn/, U.S. /ˌdʒiəˌmɛtrɪk dɪstrəˈbjuʃ(ə)n/ Mathematics.
A frequency distribution giving the number of trials required to obtain a single successful outcome.The probability that n trials are required is p(1 − p)n − 1, where p is the probability that a trial is successful and 1 − p is the probability of failure.
ΘΚΠ
the world > relative properties > number > probability or statistics > [noun] > distribution
distribution1854
random distribution1882
frequency distribution1895
probability distribution1895
Poisson distribution1898
binomial distribution1911
Student's t-distribution1925
sampling distribution1928
probability density1931
Poisson1940
beta distribution1941
Cauchy distribution1948
geometric distribution1950
1950 W. Feller Introd. Probability Theory & its Applic. I. ix. 174 In a sequence of Bernoulli trials let X be the number of trials up to and including the first success. Then X is a random variable whose probability distribution γν = Pr {X = ν} is given by γν = qν − 1p, ν ≧ 1. This is the geometric distribution.
1976 Physics Bull. Mar. 111/1 If T was short compared with the inverse spectral linewidth of a random source, a geometric distribution was obtained.
2006 Ecology 87 3164/2 The geometric distribution adequately modelled the empirical data.
This is a new entry (OED Third Edition, March 2012; most recently modified version published online March 2022).
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n.1950