theory and statistics, the F-distribution or F-ratio, also known as Snedecor's F distribution or the Fisher–Snedecor distribution (after Ronald Fisher and...

which is equivalent to the cumulative distribution function of the F-distribution: F ( k ; n , p ) = F F -distribution ( x = 1 − p p k + 1 n − k ; d 1 = 2...

the noncentral F-distribution is a continuous probability distribution that is a noncentral generalization of the (ordinary) F-distribution. It describes...

theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

-\infty }F(x)=0} and lim x → ∞ F ( x ) = 1 {\displaystyle \lim _{x\rightarrow \infty }F(x)=1} . In the case of a scalar continuous distribution, it gives...

Student's t distribution (or simply the t distribution)   t ν   {\displaystyle \ t_{\nu }\ } is a continuous probability distribution that generalizes...

the cumulative distribution function F {\displaystyle F} has the form F ( x ) = P ( X ≤ x ) = ∫ − ∞ x f ( t ) d t {\displaystyle F(x)=P(X\leq x)=\int...

samples. The test statistic, random variable F, is used to determine if the tested data has an F-distribution under the true null hypothesis, and true customary...

|}}\sim \operatorname {F} (2,2)} . (F-distribution) If X , Y ∼ U ( 0 , 1 ) {\displaystyle X,Y\sim {\textrm {U}}(0,1)} (uniform distribution) then log ⁡ ( X /...

the point f ( x ) . {\displaystyle f(x).} Instead of acting on points, distribution theory reinterprets functions such as f {\displaystyle f} as acting...

chi-squared distribution (also chi-square or χ 2 {\displaystyle \chi ^{2}} -distribution) with k {\displaystyle k} degrees of freedom is the distribution of a...

gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...

Lorentz distribution (after Hendrik Lorentz), Cauchy–Lorentz distribution, Lorentz(ian) function, or Breit–Wigner distribution. The Cauchy distribution f (...

distribution can be parametrized by a single scalar value α, called the concentration parameter. In terms of α, the density function has the form f (...

density function (pdf) of an exponential distribution is f ( x ; λ ) = { λ e − λ x x ≥ 0 , 0 x < 0. {\displaystyle f(x;\lambda )={\begin{cases}\lambda e^{-\lambda...

while the F-distribution originates from the ratio of two independent chi-squared distributed random variables. More general ratio distributions have been...

T-squared distribution (T2), proposed by Harold Hotelling, is a multivariate probability distribution that is tightly related to the F-distribution and is...

distribution is the probability distribution of the test statistic when the null hypothesis is true. For example, in an F-test, the null distribution...

statistics, the matrix F distribution (or matrix variate F distribution) is a matrix variate generalization of the F distribution which is defined on real-valued...

\beta }} . The cumulative distribution function is F ( x ; α , β ) = B ( x ; α , β ) B ( α , β ) = I x ( α , β ) {\displaystyle F(x;\alpha ,\beta )={\frac...

In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number...

that it is contained in the distribution's support. The probability density function of the continuous uniform distribution is f ( x ) = { 1 b − a for  a...

cumulative distribution function or c.d.f.) or inverse distribution function. With reference to a continuous and strictly monotonic cumulative distribution function...

I) distribution, then the probability that X is greater than some number x, i.e., the survival function (also called tail function), is given by F ¯ (...

joint cumulative distribution function satisfies F X , Y ( x , y ) = F X ( x ) ⋅ F Y ( y ) {\displaystyle F_{X,Y}(x,y)=F_{X}(x)\cdot F_{Y}(y)} Two discrete...

probability theory and statistics, the negative binomial distribution is a discrete probability distribution that models the number of failures in a sequence...

(1933) to describe a particle size distribution. The probability density function of a Weibull random variable is f ( x ; λ , k ) = { k λ ( x λ ) k − 1...

F 10 , F 01 , F 00 {\displaystyle F_{11},F_{10},F_{01},F_{00}} . These four combinations could be modeled as coming from a multinomial distribution (with...

Wishart distribution. Chi-squared distribution Complex Wishart distribution F-distribution Gamma distribution Hotelling's T-squared distribution Inverse-Wishart...

temperature; f ( v ) {\displaystyle f(\mathbf {v} )} is a probability distribution function, properly normalized so that ∫ f ( v ) d 3 v {\textstyle \int f(\mathbf...