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 use a normal distribution in Excel, the formula would be = Mean + (Standard Deviation * Standard Normal Deviate).
Rather than treating the slope parameters in a linear fashion, the marginal effect of each explanatory variable can be calculated using the cumulative standard normal distribution in the case of the probit model or the cumulative exponential function for logit analysis.
where [lambda](t) may be interpreted as the market price of longevity risk associated with the survival probability S(t), (10) and [PHI] is the standard normal distribution function.
1] is the inverse of the standard normal cumulative distribution function.
U] distribution is easily deduced from standard normal distribution.
These effects are rather given by [d[PHI] (a)/da] x [da/dX] where a is the argument of the standard normal distribution function and X denotes any of the covariates (regressors).
k] is the original simulated value for primary variable k, [sigma]m is the measurement standard deviation associated with that variable k (Table 4) and n is a standard normal variate.
alpha]/2)] is the [alpha]/2th quantile of the standard normal distribution.
The bushings are designed to install into a standard normal or Double D panel hole with fingertip pressure.
Prepared standard normal reports and computeraided diagnosis (CAD) can help.
k,t] through an inverse standard normal function, i.

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