The Gompertz-Makeham Distribution
Density, distribution function, quantile function, hazard function,
cumulative hazard function, and random generation for the Gompertz-Makeham
distribution with parameters shape and scale.
dmakeham(x, shape = c(1, 1), scale = 1, log = FALSE) pmakeham(q, shape = c(1, 1), scale = 1, lower.tail = TRUE, log.p = FALSE) qmakeham(p, shape = c(1, 1), scale = 1, lower.tail = TRUE, log.p = FALSE) hmakeham(x, shape = c(1, 1), scale = 1, log = FALSE) Hmakeham(x, shape = c(1, 1), scale = 1, log.p = FALSE) rmakeham(n, shape = c(1, 1), scale = 1)
shape |
A vector, default value c(1, 1). |
scale |
defaulting to 1. |
lower.tail |
logical; if TRUE (default), probabilities are P(X <= x), otherwise, P(X > x). |
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
The Gompertz-Makeham distribution with scale parameter a and shape
parameter b has hazard function given by
h(x) = a[1] + a[2] exp(x/b)
for x >= 0.
dmakeham gives the density, pmakeham gives the distribution
function, qmakeham gives the quantile function, hmakeham gives the
hazard function, Hmakeham gives the cumulative hazard function, and
rmakeham generates random deviates.
Invalid arguments will result in return value NaN, with a warning.
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