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...
14 KB (2,271 words) - 10:42, 23 April 2025
the noncentral F-distribution is a continuous probability distribution that is a noncentral generalization of the (ordinary) F-distribution. It describes...
5 KB (837 words) - 22:07, 21 May 2025
-\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...
26 KB (3,993 words) - 17:49, 18 April 2025
theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...
151 KB (22,720 words) - 15:27, 5 June 2025
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...
53 KB (7,554 words) - 03:55, 26 May 2025
|}}\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 /...
22 KB (3,126 words) - 07:51, 9 April 2025
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...
17 KB (2,189 words) - 12:02, 28 May 2025
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...
48 KB (6,688 words) - 17:43, 6 May 2025
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...
10 KB (1,316 words) - 16:10, 23 May 2025
T-squared distribution (T2), proposed by Harold Hotelling, is a multivariate probability distribution that is tightly related to the F-distribution and is...
18 KB (1,980 words) - 21:40, 18 September 2024
gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...
66 KB (9,100 words) - 05:31, 2 June 2025
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 (...
48 KB (7,578 words) - 15:40, 2 June 2025
the point f ( x ) . {\displaystyle f(x).} Instead of acting on points, distribution theory reinterprets functions such as f {\displaystyle f} as acting...
128 KB (21,628 words) - 22:31, 27 May 2025
distribution is the probability distribution of the test statistic when the null hypothesis is true. For example, in an F-test, the null distribution...
6 KB (836 words) - 17:38, 17 April 2021
Lorentz distribution (after Hendrik Lorentz), Cauchy–Lorentz distribution, Lorentz(ian) function, or Breit–Wigner distribution. The Cauchy distribution f (...
47 KB (6,933 words) - 09:09, 19 May 2025
t-distribution Noncentral chi-squared distribution Noncentral chi-distribution Noncentral F-distribution Noncentral beta distribution In general, noncentrality parameters...
4 KB (482 words) - 09:01, 22 November 2022
while the F-distribution originates from the ratio of two independent chi-squared distributed random variables. More general ratio distributions have been...
53 KB (10,468 words) - 23:37, 25 May 2025
statistics, Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution that generalizes the...
55 KB (6,423 words) - 06:46, 1 June 2025
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...
45 KB (6,817 words) - 10:25, 19 March 2025
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...
43 KB (6,647 words) - 17:34, 15 April 2025
cumulative distribution function of a beta distribution can be expressed in terms of the cumulative distribution function of a binomial distribution with F beta...
245 KB (40,562 words) - 12:56, 14 May 2025
probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given number...
81 KB (11,215 words) - 08:39, 14 May 2025
Many probability distributions that are important in theory or applications have been given specific names. The Bernoulli distribution, which takes value...
22 KB (2,620 words) - 07:59, 2 May 2025
≤ 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...
8 KB (988 words) - 14:04, 7 May 2025
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...
28 KB (4,230 words) - 23:30, 5 April 2025
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 ¯ (...
47 KB (6,041 words) - 12:06, 23 May 2025
density function of the Rayleigh distribution is f ( x ; σ ) = x σ 2 e − x 2 / ( 2 σ 2 ) , x ≥ 0 , {\displaystyle f(x;\sigma )={\frac {x}{\sigma...
16 KB (2,251 words) - 04:19, 13 February 2025
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...
19 KB (3,111 words) - 19:06, 23 April 2025
statistics, the multivariate t-distribution (or multivariate Student distribution) is a multivariate probability distribution. It is a generalization to random...
31 KB (5,724 words) - 06:26, 2 June 2025
(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...
39 KB (5,828 words) - 14:22, 28 April 2025