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Rectified Gaussian distribution : ウィキペディア英語版 | Rectified Gaussian distribution
In probability theory, the rectified Gaussian distribution is a modification of the Gaussian distribution when its negative elements are reset to 0 (analogous to an electronic rectifier). It is essentially a mixture of a discrete distribution (constant 0) and a continuous distribution (a truncated Gaussian distribution with interval ). == Density function == The probability density function of a rectified Gaussian distribution, for which random variables ''X'' having this distribution are displayed as Here, is the cumulative distribution function (cdf) of the standard normal distribution: : is the Dirac delta function : and, is the unit step function: :
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