Normal Distribution

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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.
Copyright © 2012, Campbell R. Harvey. All Rights Reserved.

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.
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References in periodicals archive ?
We assume that [[epsilon].sub.1] and [[epsilon].sub.2] are uncorrelated, and now G([x.sub.1i] [[beta].sub.1] is a cumulative normal distribution, G([x.sub.2i] [[beta].sub.2|[x.sub.1i] [[beta].sub.1] + [[epsilon].sub.1] > 0) = G([x.sub.2i] [[beta].sub.2]).
[2]), negative cumulative normal distributions were fit by probit analysis to the 187 seed-survival curves.
The best fit was obtained by applying a cumulative normal curve with coefficients as indicated below:
According to these three assumptions, the negative cumulative normal distribution describes the germination loss of a seed lot during storage.

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