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Poly-Weibull distribution

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In probability theory and statistics , the poly-Weibull distribution is a continuous probability distribution. The distribution is defined to be that of a random variable defined to be the smallest of a number of statistically independent random variables having non-identical Weibull distributions .

References [ edit ]

Berger, James O.; Sun, Dongchu (1993). "Bayesian Analysis for the Poly-Weibull Distribution". Journal of the American Statistical Association . 88 (424): 1412?1418. doi : 10.1080/01621459.1993.10476426 . JSTOR 2291285 . Preprint

Probability distributions ( list )

Discrete
univariate

with finite support	Benford Bernoulli beta-binomial binomial categorical hypergeometric negative Poisson binomial Rademacher soliton discrete uniform Zipf Zipf?Mandelbrot
with infinite support	beta negative binomial Borel Conway?Maxwell?Poisson discrete phase-type Delaporte extended negative binomial Flory?Schulz Gauss?Kuzmin geometric logarithmic mixed Poisson negative binomial Panjer parabolic fractal Poisson Skellam Yule?Simon zeta

Continuous
univariate

supported on a bounded interval	arcsine ARGUS Balding?Nichols Bates beta beta rectangular continuous Bernoulli Irwin?Hall Kumaraswamy logit-normal noncentral beta PERT raised cosine reciprocal triangular U-quadratic uniform Wigner semicircle
supported on a semi-infinite interval	Benini Benktander 1st kind Benktander 2nd kind beta prime Burr chi chi-squared noncentral inverse scaled Dagum Davis Erlang hyper exponential hyperexponential hypoexponential logarithmic F noncentral folded normal Frechet gamma generalized inverse gamma/Gompertz Gompertz shifted half-logistic half-normal Hotelling's T -squared inverse Gaussian generalized Kolmogorov Levy log-Cauchy log-Laplace log-logistic log-normal log-t Lomax matrix-exponential Maxwell?Boltzmann Maxwell?Juttner Mittag-Leffler Nakagami Pareto phase-type Poly-Weibull Rayleigh relativistic Breit?Wigner Rice truncated normal type-2 Gumbel Weibull discrete Wilks's lambda
supported on the whole real line	Cauchy exponential power Fisher's z Kaniadakis κ-Gaussian Gaussian q generalized normal generalized hyperbolic geometric stable Gumbel Holtsmark hyperbolic secant Johnson's S _U Landau Laplace asymmetric logistic noncentral t normal (Gaussian) normal-inverse Gaussian skew normal slash stable Student's t Tracy?Widom variance-gamma Voigt
with support whose type varies	generalized chi-squared generalized extreme value generalized Pareto Marchenko?Pastur Kaniadakis κ -exponential Kaniadakis κ -Gamma Kaniadakis κ -Weibull Kaniadakis κ -Logistic Kaniadakis κ -Erlang q -exponential q -Gaussian q -Weibull shifted log-logistic Tukey lambda

Mixed
univariate

continuous- discrete	Rectified Gaussian

Multivariate
(joint)

Discrete:
Ewens
multinomial
- Dirichlet
- negative
Continuous:
Dirichlet
- generalized
multivariate Laplace
multivariate normal
multivariate stable
multivariate t
normal-gamma
- inverse
Matrix-valued:
LKJ
matrix normal
matrix t
matrix gamma
- inverse
Wishart
- normal
- inverse
- normal-inverse
- complex

Univariate (circular) directional: Circular uniform; univariate von Mises; wrapped normal; wrapped Cauchy; wrapped exponential; wrapped asymmetric Laplace; wrapped Levy
Bivariate (spherical): Kent
Bivariate (toroidal): bivariate von Mises
Multivariate: von Mises?Fisher; Bingham

Degenerate
and singular

Degenerate: Dirac delta function
Singular: Cantor

Families

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