cumulative distribution function
31Log-logistic distribution — Probability distribution name =Log logistic type =density pdf cdf parameters =alpha>0 scale eta> 0 shape support =xin [0,infty) pdf = frac{ (eta/alpha)(x/alpha)^{eta 1} } { left [ 1+(x/alpha)^{eta} ight] ^2 } cdf ={ 1 over 1+(x/alpha)^{ eta} …
32Weibull distribution — Probability distribution name =Weibull (2 Parameter) type =density pdf cdf parameters =lambda>0, scale (real) k>0, shape (real) support =x in [0; +infty), pdf =f(x)=egin{cases}frac{k}{lambda}left(frac{x}{lambda} ight)^{k 1}e^{ (x/lambda)^{k… …
33Confidence distribution — This article is about the confidence distribution. For Confidence interval, see Confidence interval. In statistics, the concept of a confidence distribution (CD) has often been loosely referred to as a distribution function on the parameter space …
34Joint probability distribution — In the study of probability, given two random variables X and Y that are defined on the same probability space, the joint distribution for X and Y defines the probability of events defined in terms of both X and Y. In the case of only two random… …
35Student's t-distribution — Probability distribution name =Student s t type =density pdf cdf parameters = u > 0 degrees of freedom (real) support =x in ( infty; +infty)! pdf =frac{Gamma(frac{ u+1}{2})} {sqrt{ upi},Gamma(frac{ u}{2})} left(1+frac{x^2}{ u} ight)^{ (frac{… …
36Generalized extreme value distribution — Probability distribution name =Generalized extreme value type =density pdf cdf parameters =mu in [ infty,infty] , location (real) sigma in (0,infty] , scale (real) xiin [ infty,infty] , shape (real) support =x>mu sigma/xi,;(xi > 0) x …
37Beta function — This article is about Euler beta function. For other uses, see Beta function (disambiguation). In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for The beta function was studied …
38Chi distribution — chi Probability density function Cumulative distribution function parameters …
39Mixture distribution — See also: Mixture model In probability and statistics, a mixture distribution is the probability distribution of a random variable whose values can be interpreted as being derived in a simple way from an underlying set of other random variables.… …
40Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… …