# 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 ?
From the monitored later settlement troughs, total volume loss and trough factors were estimated by the Gaussian curve fitting, and the estimations were found to be coinciding with reported values.
[r.sub.2]([theta]) is the combination of two Gaussian curves at the peak position with [[sigma].sub.L] and [[sigma].sub.R] for each side's width and [h.sub.L] and [h.sub.R] for each side's deviation from zero.
The "long tail" is a description of the part of the standard Gaussian curve which is beyond the first few standard deviations.
[3] Nonstandard abbreviations: gPCR, quantitative real-time PCR; Tm, melting temperature; FAM, 6-carboxyfluorescein; TAMRA, 6-carboxytetramethylrhodamine; BHQ, Black Hole Quencher-2; FRET, fluorescence resonance energy transfer; GcTm, Gaussian curve fit analysis of Tm.
The relationship between shell length (X) and egg number (Y) can be modeled using a Gaussian curve of the form:
The linear values of the power samples approximately fit a log normal distribution because the dBm values are a close fit to a normal or Gaussian curve.
In this study, hundreds of the diffuse spectral features are measured with respect to central wavelength, equivalent width, and full width half-maximum of the Gaussian curve for each known and recently proposed DIB.
Her tendency to mate with a male falls off as a Gaussian curve with width v as the male's phenotype deviates from the value of y.
The deviations from the Gaussian curve were so marked that the same child, with the same score on the same test, judged against the same normative sample, might have an IQ of 47 if the statistician who compiled the norms assumed a Gaussian curve and an IQ of 60 if the actual distribution of scores were employed.
GMF works on the assumption that by using a Gaussian curve, the shape of vessel-like structures can be approximated.
You know this curve as the bell, the normal curve or the Gaussian curve. (Fig.

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