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...

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

to the cumulative distribution functions of the beta distribution and of the F-distribution: F ( k ; n , p ) = F beta-distribution ( x = 1 − p ; α = n...

-\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...

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...

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

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...

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

Score test It is also a component of the definition of the t-distribution and the F-distribution used in t-tests, analysis of variance, and regression analysis...

|}}\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 /...

calculates a statistic, represented by the random variable F, and checks if it follows an F-distribution. This check is valid if the null hypothesis is true...

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

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

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

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...

t-distribution Noncentral chi-squared distribution Noncentral chi-distribution Noncentral F-distribution Noncentral beta distribution In general, noncentrality parameters...

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

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

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

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

distribution of the reciprocal, Y = 1 / X. If the distribution of X is continuous with density function f(x) and cumulative distribution function F(x)...

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 ¯ (...

marginal cumulative distribution function from the joint cumulative distribution function is easy. Recall that: For discrete random variables, F ( x , y ) = P...

describing the distribution. The cumulative distribution function of the Gumbel distribution is F ( x ; μ , β ) = e − e − ( x − μ ) / β {\displaystyle F(x;\mu...

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...

≤ x ≤ R, and f(x) = 0 if |x| > R. The parameter R is commonly referred to as the "radius" parameter of the distribution. The distribution arises as the...

cumulative distribution function of a beta distribution can be expressed in terms of the cumulative distribution function of a binomial distribution with F beta...

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 (...

(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...

probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given number...