distribution parameter
51Student'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{… …
52Scale-inverse-chi-square distribution — Probability distribution name =Scale inverse chi square type =density pdf cdf parameters = u > 0, sigma^2 > 0, support =x in (0, infty) pdf =frac{(sigma^2 u/2)^{ u/2{Gamma( u/2)} frac{expleft [ frac{ u sigma^2}{2 x} ight] }{x^{1+ u/2 cdf… …
53Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …
54Log-normal distribution — Probability distribution name =Log normal type =density pdf μ=0 cdf μ=0 parameters =sigma > 0 infty < mu < infty support = [0,+infty)! pdf =frac{1}{xsigmasqrt{2piexpleft [ frac{left(ln(x) mu ight)^2}{2sigma^2} ight] cdf =frac{1}{2}+frac{1}{2}… …
55Multivariate stable distribution — multivariate stable Probability density function Heatmap showing a Multivariate (bivariate) stable distribution with α = 1.1 parameters: exponent shift/location vector …
56Normal-exponential-gamma distribution — Normal Exponential Gamma parameters: μ ∈ R mean (location) shape scale support: pdf …
57Rayleigh distribution — Probability distribution name =Rayleigh type =density pdf cdf parameters =sigma>0, support =xin [0;infty) pdf =frac{x expleft(frac{ x^2}{2sigma^2} ight)}{sigma^2} cdf =1 expleft(frac{ x^2}{2sigma^2} ight) mean =sigma sqrt{frac{pi}{2 median… …
58Tukey lambda distribution — Formalized by John Tukey, the Tukey lambda distribution is a continuous probability distribution defined in terms of its quantile function. It is typically used to identify an appropriate distribution (see the comments below) and not used in… …
59Dagum distribution — Probability density function Cumulative distribution function No image available parameters: p > 0 shape a > 0 shape …
60Inverse-gamma distribution — Probability distribution name =Inverse gamma type =density pdf cdf parameters =alpha>0 shape (real) eta>0 scale (real) support =xin(0;infty)! pdf =frac{eta^alpha}{Gamma(alpha)} x^{ alpha 1} exp left(frac{ eta}{x} ight) cdf… …
