wakeby: Wakeby distribution

In dmi3kno/qpd: Tools for Quantile-Parametrized Distribiutions

Wakeby distribution

Description

Wakeby distribution

Usage

qwakeby(u, alpha, beta, gamma, delta, xi)

fwakeby(u, alpha, beta, gamma, delta, xi, log = FALSE)

dqwakeby(u, alpha, beta, gamma, delta, xi, log = FALSE)

rwakeby(n, alpha, beta, gamma, delta, xi)

pwakeby(q, ..., lower = 0, upper = 1, tol = 1e-06, silent = TRUE, trace = 0)

dwakeby(x, alpha, beta, gamma, delta, xi, tol = 1e-06, log = FALSE)

is_wakeby_valid(alpha, beta, gamma, delta, xi, n_grid = 100L, s_grid = 2L)

ffwakeby(u, alpha, beta, gamma, delta, xi)

Arguments

u	numeric vector of probabilities
alpha	Wakeby scale parameter \alpha
beta	Wakeby shape parameter \beta
gamma	Wakeby scale parameter \gamma
delta	Wakeby shape parameter \delta
xi	Wakeby location parameter \xi
log	should the log density be returned
n	numeric number of samples to draw
q	vector of quantiles
...	used by method
lower, upper	the stats::uniroot lower and upper end points of the interval to be searched. Defaults are 0 and 1, respectively
tol	the stats::uniroot desired accuracy (convergence tolerance). Default value 1e-06
silent	the base::try argument. Default is TRUE
trace	integer number passed to stats::uniroot; if positive, tracing information is produced. Higher values giving more details.
x	numeric vector of data
n_grid	integer size of helper grid to be passed to make_pgrid. Default is 50
s_grid	integer beta shape of helper grid to be passed to make_pgrid. Default is 5

Details

Support \xi to \infty if \delta \geq 0, \gamma>0 or \xi to \xi+(\alpha/\beta)-(\gamma/\delta) otherwise.

Value

quantiles, QDF, DQF, random samples or probabilities of Wakeby disribution

Examples

p_grd <- make_pgrid()
q_grd <- qwakeby(p_grd, 5, 3, 0.1, 0.2, 0)
f_grd <- fwakeby(p_grd, 5, 3, 0.1, 0.2, 0)
dq_grd <- dqwakeby(p_grd, 5, 3, 0.1, 0.2, 0)
d_grd <- dwakeby(q_grd,5, 3, 0.1, 0.2, 0)
plot(q_grd,dq_grd, type="l", lwd=1, lty=2)
lines(q_grd,d_grd, col="firebrick")
is_wakeby_valid(10,5,1,0.3,0)

dmi3kno/qpd documentation built on Sept. 29, 2024, 6:39 p.m.