median of a continuous probability distribution

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• Median — This article is about the statistical concept. For other uses, see Median (disambiguation). In probability theory and statistics, a median is described as the numerical value separating the higher half of a sample, a population, or a probability… …   Wikipedia

• Log-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} …   Wikipedia

• Beta 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… …   Wikipedia

• Hyperbolic secant distribution — Probability distribution name =hyperbolic secant type =density pdf cdf parameters = none support =x in ( infty; +infty)! pdf =frac12 ; operatorname{sech}!left(frac{pi}{2},x ight)! cdf =frac{2}{pi} arctan!left [exp!left(frac{pi}{2},x ight) ight] ! …   Wikipedia

• Cantor 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… …   Wikipedia

• Erlang 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… …   Wikipedia

• Logistic 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 …   Wikipedia

• U-quadratic distribution — Probability distribution name =U Quadratic type =density pdf cdf parameters =a: a in ( infty,infty)b: b in (a, infty) or alpha: alphain (0,infty)eta: eta in ( infty,infty), support =xin [a , b] ! pdf =alpha left ( x eta ight )^2 cdf ={alpha… …   Wikipedia

• Half circle distribution — Probability distribution name =Half Circle type =density pdf parameters =r: r in ( infty,infty) support = r le x le r ! pdf =f(x)={2sqrt{r^2 x^2}over pi r^2 }, forall x in [ r , r] cdf =F(x)=0.5 + {arcsin(x/r) over pi} + {xsqrt{1 {x^2 over r^2… …   Wikipedia

• Weibull 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… …   Wikipedia

• Kumaraswamy 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… …   Wikipedia