ReversalGumbel {powdist} | R Documentation |
The Reversal-Gumbel Distribution
Description
Density, distribution function, quantile function and random generation for the Reversal-Gumbel distribution with parameters mu and sigma.
Usage
drgumbel(x, mu = 0, sigma = 1, log = FALSE)
prgumbel(q, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE)
qrgumbel(p, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE)
rrgumbel(n, mu = 0, sigma = 1)
Arguments
x , q |
vector of quantiles. |
mu , sigma |
location and scale parameters. |
log , log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are |
p |
vector of probabilities. |
n |
number of observations. |
Details
The reversal-Gumbel distribution has density
,
where is the location paramether and
is the scale parameter.
References
Anyosa, S. A. C. (2017) Binary regression using power and reversal power links. Master's thesis in Portuguese. Interinstitutional Graduate Program in Statistics. Universidade de São Paulo - Universidade Federal de São Carlos. Available in https://repositorio.ufscar.br/handle/ufscar/9016.
Bazán, J. L., Torres -Avilés, F., Suzuki, A. K. and Louzada, F. (2017) Power and reversal power links for binary regressions: An application for motor insurance policyholders. Applied Stochastic Models in Business and Industry, 33(1), 22-34.
Examples
drgumbel(1, 3, 4)
prgumbel(1, 3, 4)
qrgumbel(0.2, 3, 4)
rprgumbel(5, 3, 4)