Density, distribution function, quantile function, hazard function,
cumulative hazard function, and random generation for the EV distribution
with parameters shape and scale.
dEV(x, shape = 1, scale = 1, log = FALSE)
pEV(q, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)
qEV(p, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)
hEV(x, shape = 1, scale = 1, log = FALSE)
HEV(x, shape = 1, scale = 1, log.p = FALSE)
rEV(n, shape = 1, scale = 1)dEV gives the density, pEV gives the distribution
function, qEV gives the quantile function, hEV gives the
hazard function, HEV gives the cumulative hazard function, and
rEV generates random deviates.
Invalid arguments will result in return value NaN, with a warning.
shape and scale parameters, both defaulting to 1.
logical; if TRUE (default), probabilities are \(P(X \le x)\), otherwise, \(P(X > x)\).
vector of quantiles.
vector of probabilities.
number of observations. If length(n) > 1, the length is
taken to be the number required.
logical; if TRUE, probabilities p are given as log(p).
The EV distribution with scale parameter \(a\) and shape
parameter \(\sigma\) has hazard function given by $$h(x) =
(b/\sigma)(x/\sigma)^(b-1)\exp((x / \sigma)^b)$$ for \(x \ge 0\).