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.

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 ?
To begin with, extreme movements happen much more regularly than they should if normal distribution data held true.
Assuming that conditional distribution is normal distribution, quantile values, corresponding to standard levels of tolerance amounting to 0.
Figure 5 plots relative frequency distributions of samples of scores and ranks from a mixednormal distribution, compared to samples from a normal distribution.
The normal distribution N was used for their evaluation.
Finally, under truncating the number of the intervals (this, generally speaking, means analysis of the given process with a lower precision), the graph takes a shape of almost the smooth normal distribution (see Figure 4).
Stage 1: Determine an uncontaminated (clean) slope of a normal distribution on the left side of the total distribution.
4) is to measure the difference or deviation between the normal distribution probability and the two-component-mixture probability distribution when the parameters in the depletion model were estimated.
The literature survey on option pricing by Broadie and Detemple (2004) contains further reference to the two moments of a normal distribution.
This class, called the class of elliptically contoured (or simply elliptical) distributions, includes the familiar Normal distribution and shares many of its familiar properties.
The normal distribution describes many random phenomena that occur in every day life, including demand fluctuations, test scores, weights, heights, and many others.
Investigating avian-human influenza epidemic model under normal distribution random effects