Type-1 Gumbel distribution

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for

<math>-\infty < x < \infty</math>.

The distribution is mainly used in survival analysis (also known as duration analysis or event-history modelling).

References

Taken from the gsl-ref_19.html#SEC309, used under GFDL.

[[Template: {{{name}}}\|v]] • [[Template talk: {{{name}}}\|d]] • [{{fullurl:Template: {{{name}}}\|action=edit}} e] Discrete univariate with infinite support
Boltzmann · Conway-Maxwell-Poisson · compound Poisson · discrete phase-type · Gauss-Kuzmin · geometric · logarithmic · negative binomial · parabolic fractal · Poisson · Skellam · Yule-Simon · zeta

[[Template: {{{name}}}\|v]] • [[Template talk: {{{name}}}\|d]] • [{{fullurl:Template: {{{name}}}\|action=edit}} e] Continuous univariate supported on a bounded interval
Beta · Kumaraswamy · raised cosine · triangular · U-quadratic · uniform · Wigner semicircle

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[[Template: {{{name}}}\|v]] • [[Template talk: {{{name}}}\|d]] • [{{fullurl:Template: {{{name}}}\|action=edit}} e] Continuous univariate supported on the whole real line
Cauchy · extreme value · exponential power · Fisher's z · Fisher-Tippett · generalized hyperbolic · hyperbolic secant · Landau · Laplace · Lévy skew alpha-stable · logistic · normal (Gaussian) · normal inverse Gaussian · skew normal · Student's t · type-1 Gumbel · Variance-Gamma · Voigt

[[Template: {{{name}}}\|v]] • [[Template talk: {{{name}}}\|d]] • [{{fullurl:Template: {{{name}}}\|action=edit}} e] Multivariate (joint)
Discrete: Ewens · multinomial · multivariate Polya Continuous: Dirichlet · Generalized Dirichlet · multivariate normal · multivariate Student · normal-scaled inverse gamma · normal-gamma Matrix-valued: inverse-Wishart · matrix normal · Wishart