The truncated Weibull distribution
Density, distribution function, quantile function and random generation for the truncated Weibull distribution.
dtweibull(x, shape, scale = 1, endpoint = Inf, log = FALSE) ptweibull(x, shape, scale = 1, endpoint = Inf, lower.tail = TRUE, log.p = FALSE) qtweibull(p, shape, scale = 1, endpoint = Inf, lower.tail = TRUE, log.p = FALSE) rtweibull(n, shape, scale = 1, endpoint = Inf)
x |
Vector of quantiles. |
p |
Vector of probabilities. |
n |
Number of observations. |
shape |
The shape parameter of the Weibull distribution, a strictly positive number. |
scale |
The scale parameter of the Weibull distribution, a strictly positive number, default is 1. |
endpoint |
Endpoint of the truncated Weibull distribution. The default value is |
log |
Logical indicating if the densities are given as \log(f), default is |
lower.tail |
Logical indicating if the probabilities are of the form P(X≤ x) ( |
log.p |
Logical indicating if the probabilities are given as \log(p), default is |
The Cumulative Distribution Function (CDF) of the truncated Weibull distribution is equal to F_T(x) = F(x) / F(T) for x ≤ T where F is the CDF of the ordinary Weibull distribution and T is the endpoint (truncation point) of the truncated Weibull distribution.
dtweibull gives the density function evaluated in x, ptweibull the CDF evaluated in x and qtweibull the quantile function evaluated in p. The length of the result is equal to the length of x or p.
rtweibull returns a random sample of length n.
Tom Reynkens.
# Plot of the PDF x <- seq(0, 10, 0.01) plot(x, dtweibull(x, shape=2, scale=0.5, endpoint=1), xlab="x", ylab="PDF", type="l") # Plot of the CDF x <- seq(0, 10, 0.01) plot(x, ptweibull(x, shape=2, scale=0.5, endpoint=1), xlab="x", ylab="CDF", type="l")
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.