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Normal Distribution
(redirected from Gaussian Distributions)

   Also found in: Dictionary/thesaurus, Medical, Encyclopedia, Wikipedia, Hutchinson 0.01 sec.
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.


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In addition, we assume that both the spatial and the unstructured variability have Gaussian distributions, which are independent in the latter case.
Therefore, we performed log transformation of those measurements to obtain symmetrical, approximately Gaussian distributions and used the log-transformed data in all analyses.
The probability distribution is found for the link distance between two randomly positioned mobile radios in a wireless network for two representative deployment scenarios: (1) the mobile locations are uniformly distributed over a rectangular area and (2) the x and y coordinates of the mobile locations have Gaussian distributions.
 
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