Dublin, Ireland. The Student's t distribution plays a role in a number of widely used statistical analyses, including Student's t-test for assessing the...

follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic would follow a normal distribution if the...

as the distribution of a set of sample statistics that are natural generalizations of the statistics underlying the Student's t-distribution. The Hotelling's...

called studentized residuals. Mathematics portal F-test t2-statistic Student's T-Distribution Student's t-test Hypothesis testing Folded-t and half-t distributions...

It is a generalization to random vectors of the Student's t-distribution, which is a distribution applicable to univariate random variables. While the...

noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes...

The phrase "T distribution" may refer to Student's t-distribution in univariate probability theory, Hotelling's T-square distribution in multivariate...

published under the pen name Student and developed Student's t-distribution – originally called Student's "z" – and "Student's test of statistical significance"...

bivariate normal distribution, the sampling distribution of the studentized Pearson's correlation coefficient follows Student's t-distribution with degrees...

under the pseudonym "Student" (e.g., Student's distribution). Dividing a statistic by a sample standard deviation is called studentizing, in analogy with...

accordance with a Student's t-distribution. If X is a random variable with a Student's t-distribution, then Y = exp(X) has a log-t distribution; likewise, if...

normal distribution is sometimes informally called a bell curve. However, many other distributions are bell-shaped (such as the Cauchy, Student's t, and...

is the standard t-distribution quantile. If the loss of a portfolio L {\displaystyle L} follows generalized Student's t-distribution, the expected shortfall...

distribution is the Student's t-distribution with one degree of freedom, and so it may be constructed by any method that constructs the Student's t-distribution...

In statistics, the folded-t and half-t distributions are derived from Student's t-distribution by taking the absolute values of variates. This is analogous...

payoff of a portfolio X {\displaystyle X} follows generalized Student's t-distribution with the p.d.f. f ( x ) = Γ ( ν + 1 2 ) Γ ( ν 2 ) π ν σ ( 1 + 1...

alongside the names “Student’s t distribution” – referring to the adjusted normal distribution Gosset proposed, and “Student’s t-statistic” – referring to the...

chi-squared distribution is a transformation of Pareto distribution Student's t-distribution is a transformation of chi-squared distribution Student's t-distribution...

doi:10.1145/168173.168387 Refinement of the Normal Quantile New Methods for Managing "Student's" T Distribution ACM Algorithm 396: Student's t-Quantiles...

belong to a Student's t-distribution with n − m degrees of freedom. When n ≫ m Student's t-distribution approximates a normal distribution. Note, however...

still lacking. In the heavy tail regions, the distribution is equivalent to the Student's t-distribution with a direct mapping between q and the degrees...

leptokurtic distribution has fatter tails. Examples of leptokurtic distributions include the Student's t-distribution, Rayleigh distribution, Laplace distribution...

1895 paper introduced the type IV distribution, which contains Student's t-distribution as a special case, predating William Sealy Gosset's subsequent...

of normally distributed samples (see chi-squared test) Student's t distribution, the distribution of the ratio of a standard normal variable and the square...

statistics, the skewed generalized "t" distribution is a family of continuous probability distributions. The distribution was first introduced by Panayiotis...

correlations (Hoyt distribution), or when the vector Y follows a bivariate Student t-distribution (see also: Hotelling's T-squared distribution). The raw moments...

generalization of the Student's t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution. The Dirichlet...

exception that the quantile t*n−2 of Student's t distribution is replaced with the quantile q* of the standard normal distribution. Occasionally the fraction...

parameter of a distribution is zero, the distribution is identical to a distribution in the central family. For example, the Student's t-distribution is the central...

conjugacy. For example, the Student's t-distribution can be defined as the prior predictive distribution of a normal distribution with known mean μ but unknown...