Newdistns (version 1.0)

weibullg: Weibull G distribution

Description

Computes the pdf, cdf, quantile and random numbers of the Weibull G distribution due to Alzaatreh et al. (2013) specified by the pdf $$\text{Missing or unrecognized delimiter for left}$$ for $G$ any valid cdf, $g$ the corresponding pdf, $\beta > 0$, the scale parameter and $c > 0$, the shape parameter.

Usage

dweibullg(x, spec, beta = 1, c = 1, log = FALSE, ...)
pweibullg(x, spec, beta = 1, c = 1, log.p = FALSE, lower.tail = TRUE, ...)
qweibullg(p, spec, beta = 1, c = 1, log.p = FALSE, lower.tail = TRUE, ...)
rweibullg(n, spec, beta = 1, c = 1, ...)

Arguments

x

scaler or vector of values at which the pdf or cdf needs to be computed

p

scaler or vector of values at which the quantile needs to be computed

n

number of random numbers to be generated

beta

the value of the scale parameter, must be positive, the default is 1

c

the value of the shape parameter, must be positive, the default is 1

spec

a character string specifying the distribution of G and g (for example, "norm" if G and g correspond to the standard normal).

log

if TRUE then log(pdf) are returned

log.p

if TRUE then log(cdf) are returned and quantiles are computed for exp(p)

lower.tail

if FALSE then 1-cdf are returned and quantiles are computed for 1-p

...

other parameters

Value

• An object of the same length as x, giving the pdf or cdf values computed at x or an object of the same length as p, giving the quantile values computed at p or an object of the same length as n, giving the random numbers generated.

References

S. Nadarajah, Newdistns: An R Package for new families of distributions, submitted A. Alzaatreh, C. Lee, F. Famoye, A new method for generating families of continuous distributions, METRON 71 (2013) 63-79

Examples

x=runif(10,min=0,max=1)
dweibullg(x,"exp",beta=1,c=1)
pweibullg(x,"exp",beta=1,c=1)
qweibullg(x,"exp",beta=1,c=1)
rweibullg(10,"exp",beta=1,c=1)