# Generalised Hyperbolic Distribution - Related Distributions

Related Distributions

• has a Student's t-distribution with degrees of freedom.
• has a hyperbolic distribution.
• has a normal-inverse Gaussian distribution (NIG).
• normal-inverse chi-squared distribution
• normal-inverse gamma distribution (NI)
• has a variance-gamma distribution.
Probability distributions
Discrete univariate with finite support
• Benford
• Bernoulli
• Beta-binomial
• binomial
• categorical
• hypergeometric
• Poisson binomial
• discrete uniform
• Zipf
• Zipf-Mandelbrot
Discrete univariate with infinite support
• beta negative binomial
• Boltzmann
• Conway–Maxwell–Poisson
• discrete phase-type
• Delaporte
• extended negative binomial
• Gauss–Kuzmin
• geometric
• logarithmic
• negative binomial
• parabolic fractal
• Poisson
• Skellam
• Yule–Simon
• zeta
Continuous univariate supported on a bounded interval, e.g.
• Arcsine
• ARGUS
• Balding-Nichols
• Bates
• Beta
• Beta rectangular
• Irwin–Hall
• Kumaraswamy
• logit-normal
• Noncentral beta
• raised cosine
• triangular
• uniform
• Wigner semicircle
Continuous univariate supported on a semi-infinite interval, usually [0,∞)
• Benini
• Benktander 1st kind
• Benktander 2nd kind
• Beta prime
• Bose–Einstein
• Burr
• chi-squared
• chi
• Coxian
• Dagum
• Davis
• Erlang
• exponential
• F
• Fermi–Dirac
• folded normal
• Fréchet
• Gamma
• generalized inverse Gaussian
• half-logistic
• half-normal
• Hotelling's T-squared
• hyper-exponential
• hypoexponential
• inverse chi-squared (scaled inverse chi-squared)
• inverse Gaussian
• inverse gamma
• Kolmogorov
• Lévy
• log-Cauchy
• log-Laplace
• log-logistic
• log-normal
• Maxwell–Boltzmann
• Maxwell speed
• Mittag–Leffler
• Nakagami
• noncentral chi-squared
• Pareto
• phase-type
• Rayleigh
• relativistic Breit–Wigner
• Rice
• Rosin–Rammler
• shifted Gompertz
• truncated normal
• type-2 Gumbel
• Weibull
• Wilks' lambda
Continuous univariate supported on the whole real line (−∞, ∞)
• Cauchy
• exponential power
• Fisher's z
• generalized normal
• generalized hyperbolic
• geometric stable
• Gumbel
• Holtsmark
• hyperbolic secant
• Landau
• Laplace
• Linnik
• logistic
• noncentral t
• normal (Gaussian)
• normal-inverse Gaussian
• skew normal
• slash
• stable
• Student's t
• type-1 Gumbel
• variance-gamma
• Voigt
Continuous univariate with support whose type varies
• generalized extreme value
• generalized Pareto
• Tukey lambda
• q-Gaussian
• q-exponential
• shifted log-logistic
Mixed continuous-discrete univariate distributions
• rectified Gaussian
Multivariate (joint)
Discrete
Ewens
multinomial
Dirichlet-multinomial
negative multinomial
Continuous
Dirichlet
Generalized Dirichlet
multivariate normal
Multivariate stable
multivariate Student
normal-scaled inverse gamma
normal-gamma
Matrix-valued
inverse matrix gamma
inverse-Wishart
matrix normal
matrix t
matrix gamma
normal-inverse-Wishart
normal-Wishart
Wishart
Directional
Univariate (circular) directional
Circular uniform
univariate von Mises
wrapped normal
wrapped Cauchy
wrapped exponential
wrapped Lévy
Bivariate (spherical)
Kent
Bivariate (toroidal)
bivariate von Mises
Multivariate
von Mises–Fisher
Bingham
Degenerate and singular
Degenerate
discrete degenerate
Dirac delta function
Singular
Cantor
Families
• Circular
• compound Poisson
• elliptical
• exponential
• natural exponential
• location-scale
• maximum entropy
• mixture
• Pearson
• Tweedie
• wrapped