Normal Distribution

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Related to Gaussian Distributions: Gaussian random variable

Normal Distribution

The well known bell shaped curve. According to the Central Limit Theorem, the probability density function of a large number of independent, identically distributed random numbers will approach the normal distribution. In the fractal family of distributions, the normal distribution only exists when alpha equals 2, or the Hurst exponent equals 0.50. Thus, the normal distribution is a special case which in time series analysis is quite rare. See: Alpha, Central Limit Theorem, Fractal Distribution.

Bell Curve

A curve on a chart in which most data points cluster around the median and become less frequent the farther they fall to either side of the median. When plotted on a chart, a bell curve looks roughly like a bell.
References in periodicals archive ?
Some causal processes can simulate Gaussian distribution.
We will use the Gaussian distribution since optimising the logarithm of this pdf is straightforward.
The distribution of the differences between the traditional and continuous wind speed data somewhat resemble the Gaussian distribution.
In a Gaussian distribution, the mean divides the observations in two halves -50 percent above the mean and 50 percent below the mean.
5 because the deployment area for the assumption of a Gaussian distribution of mobile locations has no edges.
1982, Statistical Properties of the Generalized Inverse Gaussian Distribution, Lecture Notes in Statistics, Vol.
The algorithm operates in 2 steps: In the first step, the original data are transformed to approximate a gaussian distribution, to the extent this is possible in the presence of outliers.
In the case of gaussian distributions it is possible to mathematically determine the common reference limits (although the combined distribution of two gaussian distributions is nongaussian), enabling explicit calculation of the proportions (1).
l - [beta]] is the (1 - [beta]) percentile of the standard gaussian distribution, and E([SD.
Most risk-calculation software programs use the Down syndrome risk algorithm based on the trivariate gaussian distributions published by Wald et al.
We used Microsoft[R] Excel 97 to calculate probit values and proportions of gaussian distributions, and Mathematica[R] (Ver.
Some diagrams of gaussian distributions need improvement; with the graphic capabilities available today, bell curves should not have to look like gumdrops.