cumulative distribution function
61Erlang distribution — Probability distribution name =Erlang type =density pdf cdf parameters =k > 0 in mathbb{Z} shape lambda > 0, rate (real) alt.: heta = 1/lambda > 0, scale (real) support =x in [0; infty)! pdf =frac{lambda^k x^{k 1} e^{ lambda x{(k 1)!,} cdf… …
62Von Mises distribution — Probability distribution name =von Mises type =density pdf The support is chosen to be [ π,π] with μ=0 cdf The support is chosen to be [ π,π] with μ=0 parameters =mu real kappa>0 support =xin any interval of length 2π pdf =frac{e^{kappacos(x… …
63Binomial 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… …
64Fisher-Tippett distribution — Probability distribution name =Fisher Tippett type =density pdf cdf parameters =mu! location (real) eta>0! scale (real) support =x in ( infty; +infty)! pdf =frac{z,e^{ z{eta}! where z = e^{ frac{x mu}{eta! cdf =exp( e^{ (x mu)/eta})! mean =mu …
65Heaviside step function — The Heaviside step function, H , also called the unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument.It seldom matters what value is used for H (0), since H is mostly used as a… …
66Lévy distribution — Probability distribution name =Lévy (unshifted) type =density pdf cdf parameters =c > 0, support =x in [0, infty) pdf =sqrt{frac{c}{2pi frac{e^{ c/2x{x^{3/2 cdf = extrm{erfc}left(sqrt{c/2x} ight) mean =infinite median =c/2( extrm{erf}^{… …
67F-distribution — Probability distribution name =Fisher Snedecor type =density pdf cdf parameters =d 1>0, d 2>0 deg. of freedom support =x in [0, +infty)! pdf =frac{sqrt{frac{(d 1,x)^{d 1},,d 2^{d 2{(d 1,x+d 2)^{d 1+d 2{x,mathrm{B}!left(frac{d 1}{2},frac{d 2}{2}… …
68Inverse-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… …
69Tukey 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… …
70Cantor distribution — Probability distribution name =Cantor type =mass pdf cdf parameters =none support =Cantor set pdf =none cdf =Cantor function mean =1/2 median =anywhere in [1/3, 2/3] mode =n/a variance =1/8 skewness =0 kurtosis = 8/5 entropy = mgf =e^{t/2} prod… …
