normal distribution

A theoretical frequency distribution for a random variable, characterized by a bell-shaped curve symmetrical about its mean. Also called Gaussian distribution.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

normal distribution

(Statistics) 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]/σ√(2π)) where μ is the mean and σ² the variance. Also called: Gaussian distribution

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

nor′mal distribu′tion

a theoretical frequency distribution represented by a normal curve. Also called Gaussian distribution.

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Noun

normal distribution - a theoretical distribution with finite mean and variance

Gaussian distribution

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

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References in periodicals archive

We choose only the variance from a fixed number of studies when the [Z.sub.i] are drawn from a half normal distribution HN(0,1).

Publication bias in meta-analysis: confidence intervals for Rosenthal's fail-safe number

Normal Distribution Grey Number and Its Grey Degree.

Research and application for grey relational analysis in multigranularity based on normality grey number

Unfortunately, unless the sample sizes within sites are enormous (e.g., >1,000), the shape of the distribution of estimates is dominated by the normal distribution as a result of imperfect reliability in site-specific estimates.

Distortions in Distributions of Impact Estimates in Multi-Site Trials: The Central Limit Theorem Is Not Your Friend

Normal or Gaussian distribution is one of the most used statistical distributions, and most statistical methods accept the hypothesis of normal distribution of data.

Providing a subsurface reservoir quality maps in oil fields by geostatistical methods

However, on theoretical grounds, one could argue that the normal distribution is appropriate.

Ammunition purchase decisions in the face of long lead times and usage uncertainty

and replacing parameters of the normal distribution with their definitions 20 and 21, the benchmark value is derived in the following way:

Non-positive scaling factor in probability quantification methods: deriving consumer inflation perceptions and expectations in the whole Euro Area and Ireland

of a hundred observations from the normal distribution

Diagram

Pacey [1] first studied the diffusion problem and proposed a model assuming that the speed follows normal distribution ranging from negative to positive infinity.

Mixed platoon flow dispersion model based on speed-truncated Gaussian mixture distribution

Jordan (1869) claimed improved precision of G over Gauss's root mean square estimator for normal distribution. According to Von Andrae (1872) the asymptotic efficiency of G relative to S is 97.8% for normally distributed data and G, given its much simpler calculation, is a serious competitor to the usually preferred S.

USE OF GINI'S MEAN DIFFERENCE IN ANALYSIS OF MEANS

where [u.sub.[alpha]]--the value of the random variable U with a standardized normal distribution, as designated for a given confidence coefficient 1-[alpha] from an array of a normal distribution, s--sample standard deviation as calculated according to the relation [6-8]

The use of extended Petri nets in analyzing the reliability of MV / LV distribution transformer stations/Isplestu Petri tinklu naudojimas vidutines itampos pastociu patikimumo analizei