Description Usage Arguments Details References Examples
Density, distribution function, quantile function and random generation for the Gompertz distribution.
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x, q |
vector of quantiles. |
a, b |
positive valued scale and location parameters. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X ≤ x] otherwise, P[X > x]. |
p |
vector of probabilities. |
n |
number of observations. If |
Probability density function
f(x) = a*exp(b*x - a/b * (exp(b*x)-1))
Cumulative distribution function
F(x) = 1-exp(-a/b * (exp(b*x)-1))
Quantile function
F^-1(p) = 1/b * log(1 - b/a * log(1-p))
Lenart, A. (2012). The Gompertz distribution and Maximum Likelihood Estimation of its parameters - a revision. MPIDR WORKING PAPER WP 2012-008. http://www.demogr.mpg.de/papers/working/wp-2012-008.pdf
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