cumulative distribution function
41Logistic distribution — Probability distribution name =Logistic type =density pdf cdf parameters =mu, location (real) s>0, scale (real) support =x in ( infty; +infty)! pdf =frac{e^{ (x mu)/s {sleft(1+e^{ (x mu)/s} ight)^2}! cdf =frac{1}{1+e^{ (x mu)/s! mean =mu, median …
42Truncated distribution — A truncated distribution is a conditional distribution that is derived from some other probability distribution. Suppose we have a random variable, X that is distributed according to some probability density function, f(x) , with cumulative… …
43Multivariate normal distribution — MVN redirects here. For the airport with that IATA code, see Mount Vernon Airport. Probability density function Many samples from a multivariate (bivariate) Gaussian distribution centered at (1,3) with a standard deviation of 3 in roughly the… …
44Kumaraswamy distribution — Probability distribution name =Kumaraswamy type =density pdf cdf parameters =a>0, (real)b>0, (real) support =x in [0,1] , pdf =abx^{a 1}(1 x^a)^{b 1}, cdf = [1 (1 x^a)^b] , mean =frac{bGamma(1+1/a)Gamma(b)}{Gamma(1+1/a+b)}, median =left(1… …
45Moment-generating function — In probability theory and statistics, the moment generating function of any random variable is an alternative definition of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with… …
46von Mises distribution — von Mises Probability density function The support is chosen to be [ π,π] with μ=0 Cumulative distribution function The support is chosen to be [ π,π] with μ=0 …
47Chi-square distribution — Probability distribution name =chi square type =density pdf cdf parameters =k > 0, degrees of freedom support =x in [0; +infty), pdf =frac{(1/2)^{k/2{Gamma(k/2)} x^{k/2 1} e^{ x/2}, cdf =frac{gamma(k/2,x/2)}{Gamma(k/2)}, mean =k, median… …
48Beta distribution — Probability distribution name =Beta| type =density pdf cdf parameters =alpha > 0 shape (real) eta > 0 shape (real) support =x in [0; 1] ! pdf =frac{x^{alpha 1}(1 x)^{eta 1 {mathrm{B}(alpha,eta)}! cdf =I x(alpha,eta)! mean… …
49Error function — Plot of the error function In mathematics, the error function (also called the Gauss error function) is a special function (non elementary) of sigmoid shape which occurs in probability, statistics and partial differential equations. It is defined …
50Quantile function — See also quantile. In probability theory, a quantile function of a probability distribution is the inverse F −1 of its cumulative distribution function (cdf) F . Assuming a continuous and strictly monotonic distribution function, scriptstyle… …
