normal distribution en · NOUN
Pronunciation
Meanings
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Any of a family of continuous probability distributions such that the probability density function is the Gaussian function
The normal distribution is the backbone of traditional statistics. We learn very early in our statistics training that the distribution of sample means, regardless of the shape of the parent distribution, approaches a normal distribution as the sample size increases.
2012, Larry Pace, Beginning R: An Introduction to Statistical Programming, Apress, page 103:The development of the general theories of the normal distributions began with the work of de Moivre (1733, 1738) in his studies of approximations to certain binomial distributions for large positive integer n > 0.
2014, Mohammad Ahsanullah, B.M. Golam Kibria, Mohammad Shakil, Normal and Student's t Distributions and Their Applications, Springer (Atlantis Press), page 7:It begins with the normal distribution, which is the limiting form of the sample sum over an arbitrary population.
2008, James L. Johnson, Probability and Statistics for Computer Science, Wiley, page 437:φ_(μ,σ²)(x)=1/(σ√),e²)/(2σ²))=1/σφ((x-μ)/σ), x∈ℝ.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| normal distributions | Number=Plur | lexicographic |
Deriveds
bivariate normal distribution · standard normal distribution · log-normal distribution · skew normal distribution
Relateds
Gaussian function · standard normal deviate · central limit theorem
Synonyms
bell curve · Gaussian curve · Gaussian distribution
Translations (41)
pl rozkład normalny (probability distribution) · cy dosraniad normal (probability distribution) · is normaldreifing (probability distribution) · nl normaalverdeling (probability distribution) · cmn 常態分佈 /常态分布 (probability distribution) · sv normalfördelning (probability distribution) · az normal paylanma (probability distribution) · cs normální rozdělení (probability distribution) · mr सामान्य वितरण (probability distribution) · th การแจกแจงปรกติ (probability distribution) · lt normalusis skirstinys (probability distribution) · fr loi normale (probability distribution) · hu normális eloszlás (probability distribution) · et normaaljaotus (probability distribution) · it distribuzione normale (probability distribution) · la distributio normalis (probability distribution) · nan-hbl 常態分佈 /常态分布 (probability distribution) · da normalfordeling (probability distribution) · nl normale verdeling (probability distribution) · es distribución normal (probability distribution) · ka ნორმალური განაწილება (probability distribution) · is Gauss-dreifing (probability distribution) · de Normalverteilung (probability distribution) · pt distribuição normal (probability distribution) · fi normaalijakauma (probability distribution) · no normalfordeling (probability distribution) · cmn 正態分佈 /正态分布 (probability distribution) · ar تَوْزِيع طَبِيعِيّ (probability distribution) · ms taburan normal (probability distribution) · fa توزیع نرمال (probability distribution) · id distribusi normal (probability distribution) · sk normálne rozdelenie (probability distribution) · nl gaussverdeling (probability distribution) · de Gauß-Verteilung (probability distribution) · ru нормальное распределение (probability distribution) · hu Gauss-eloszlás (probability distribution) · uk норма́льний розпо́діл (probability distribution) · kk қалыпты дисперсия (probability distribution) · vi phân phối chuẩn (probability distribution) · pt distribuição gaussiana (probability distribution) · tl daniwing pamamahagi (probability distribution)