beardmake: Distribution function of the Beard-Makeham distribution

In longevity: Statistical Methods for the Analysis of Excess Lifetimes

Distribution function of the Beard-Makeham distribution

Description

Distribution function of the Beard-Makeham distribution

Density function of the Beard-Makeham distribution

Hazard function of the Beard-Makeham distribution

Quantile function of the Beard-Makeham distribution

Usage

pbeardmake(
  q,
  rate = 1,
  shape1 = 1,
  shape2 = 1,
  lambda = 0,
  lower.tail = TRUE,
  log.p = FALSE
)

dbeardmake(x, rate = rate, shape1 = 1, shape2 = 1, lambda = 0, log = FALSE)

hbeardmake(x, rate = rate, shape1 = 1, shape2 = 1, lambda = 0, log = FALSE)

qbeardmake(p, rate = 1, shape1 = 1, shape2 = 1, lambda = 0, lower.tail = TRUE)

Arguments

q	vector of quantiles.
rate	shape parameter (\nu)
shape1	shape parameter (\alpha)
shape2	shape parameter (\beta)
lambda	exponential rate of the Makeham component
lower.tail	logical; if TRUE (default), the lower tail probability \Pr(X \leq x) is returned.
log.p	logical; if FALSE (default), values are returned on the probability scale.
x	vector of quantiles.
log	logical; if FALSE (default), return the hazard
p	vector of probabilities.

Value

a vector of (log)-probabilities of the same length as q

a vector of (log)-density.

a vector of (log)-hazard.

a vector of quantiles

longevity documentation built on Nov. 12, 2023, 5:07 p.m.