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 ?
HY information density/objective redundancy is a predictor of the error distribution in the delivery of numbers If the hypothesis is valid, the density of interpreting errors would be greatest where the degree of information density/objective redundancy is highest and would decrease significantly where the degree is lowest.
2, the error distributions in four continuous forecast bins (range from [0.4, 0.6] p.u.) have differences in either shape or position.
The average relative error was developed by Marquardt [86] with the aim of minimizing the fractional error distribution across the entire concentration range.
Absolute Corrected Percentage Errors at Selected Percentiles of the Error Distribution by Population Size Category.
The phase error distribution is divided into the four regions as shown in Fig 1.
A statistical summary is provided in Table 1 and the error distribution statistics for these models is shown in Table 2.
This study examines the sensitivity of day-of-the-week effect, also known as weekday effect, to the specification of error distribution assumption in both mean and conditional variances of several foreign currencies daily returns.
A coefficient of 0.0197 means that a player who falls in the 90th percentile of the error distribution at his current number of goals receives on average 1.97% more in salary if he scores another goal.
Figures 8 and 9 present the error distribution and reliability distribution.
CEDA (catch and effort data analysis, Hoggarth et al., 2006) Catch and Effort Data Analysis (CEDA v.3.0.1) software package were used which is capable to give three non-equilibrium production models which are Schaefer (1954), Fox (1970) and Pella and Tomlinson (1969) with three error distribution assumption (normal, log-normal and gamma).