bwd {new.dist} | R Documentation |
Bimodal Weibull Distribution
Description
Density, distribution function, quantile function and random generation for
a Bimodal Weibull distribution with parameters shape
and scale
.
Usage
dbwd(x, alpha, beta = 1, sigma, log = FALSE)
pbwd(q, alpha, beta = 1, sigma, lower.tail = TRUE, log.p = FALSE)
qbwd(p, alpha, beta = 1, sigma, lower.tail = TRUE)
rbwd(n, alpha, beta = 1, sigma)
Arguments
x , q |
vector of quantiles. |
alpha |
a shape parameter. |
beta |
a scale parameter. |
sigma |
a control parameter that controls the uni- or bimodality of the distribution. |
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. If |
Details
A Bimodal Weibull distribution with shape
parameter ,
scale
parameter ,and the
control
parameter
that determines the uni- or bimodality of the
distribution, has density
where
and
Value
dbwd
gives the density, pbwd
gives the distribution
function, qbwd
gives the quantile function and rbwd
generates
random deviates.
References
Vila, R. ve Niyazi Çankaya, M., 2022, A bimodal Weibull distribution: properties and inference, Journal of Applied Statistics, 49 (12), 3044-3062.
Examples
library(new.dist)
dbwd(1,alpha=2,beta=3,sigma=4)
pbwd(1,alpha=2,beta=3,sigma=4)
qbwd(.7,alpha=2,beta=3,sigma=4)
rbwd(10,alpha=2,beta=3,sigma=4)