# Normal Distribution

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Related to Gaussian density: 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 ?
Vetterli, "Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance," IEEE Transactions on Image Processing, vol.
The Gaussian density function is used as an activation function for the hidden neurons.
where [G.sub.i] is the zero-mean Gaussian density and [DELTA[G.sub.i] is some unknown symmetric function representing the impulsive part of the noise density or outliers.
The expression of a Gaussian density function is given in equation 2.
1 shows the small difference in the saddlepoint densities of the normalized Fourier coefficients and the Gaussian density for different values of [eta] in the case of a Gamma Levy basis.

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