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mathematical function normal distribution. The distribution is parametrized by a real number m and a positive real number s where m is the mean of the distribution s is known as the standard deviation and s 2 is known as the variance. NormalDistribution m s represents the so-called normal statistical distribution that is defined over the real numbers.
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Create a normal distribution with mean equal to zero and standard deviation equal to one. For a generic normal distribution with density mean and deviation the cumulative distribution function is F x F x m s 1 2 1 erf x m s 2 displaystyle FxPhi leftfrac x-mu sigma rightfrac 12left1operatorname erf leftfrac x-mu sigma sqrt 2rightright. Cumulative is a logical value that determines the form of the function.
In particular any locally integrable function has a distributional derivative.
The standard normal cumulative distribution function Fx is functionally related to the error function erf. Probability density of rational function of a normal distribution - Mathematics Stack Exchange Probability density of rational function of a normal distribution 0 Let X N m s be a normally distributed random variable. It is also called Gaussian distribution. The normal distribution commonly known as the bell curve occurs throughout statistics.
