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normal distribution
(redirected from Gaussian distribution)

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normal distribution

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A curve used in statistics to represent the distribution of data which is symmetrical about its mean value.

In statistics, a distribution widely used to model variation in a set of data which is symmetrical about its mean value. It can be expressed in the form:

where f(x) is the relative frequency of data value x, ςis the standard deviation, μ is the mean, exp is the exponential function, and π is a mathematical constant. The curve resulting when f(x) is plotted against x is called the normal distribution curve.

An example of normal distribution can be found in the intelligence quotients (IQs) found in human populations, distributed around a mean value of 100. The distribution is also known as the Gaussian distribution after German mathematician Karl Gauss.



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? Mentioned in ? References in periodicals archive
 
One of the models used as the basis of microstructure prediction is a Gaussian distribution model that defines the relationship between the number of nuclei and the undercooling, which is shown as a distribution curve in Fig.
3 is close to a Gaussian distribution with fewer sensors showing large deviations from the OTD calibration.
The Gaussian distribution used in the CAR specification above induces a high level of smoothness.
 
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