exp_hazards: Exponential hazard, cumulative hazard and inverse cumulative...

In d-gomon/cgrcusum: Quality control charts for survival outcomes

Exponential hazard, cumulative hazard and inverse cumulative hazard

Description

Functions which return the hazard, cumulative hazard and inverse cumulative hazard at time t for an exponential distribution with parameter λ and true hazard ratio μ.

Usage

haz_exp(t, lambda)

chaz_exp(t, lambda, mu = log(1))

inv_chaz_exp(t, lambda, mu = log(1))

Arguments

t	time of evaluation.
lambda	parameter of the exponential distribution.
mu	(optional) true excess hazard rate μ.

Details

The hazard function of an exponential distribution is given by:

h(λ) = λ

The cumulative hazard (with true hazard ratio μ) is given by:

H(λ, μ) = λ * t * exp(μ)

The inverse cumulative hazard (with true hazard ratio μ) by:

H^(-1)(λ, μ) = t/(λ exp(μ))

Value

Value of specified function at time t.

d-gomon/cgrcusum documentation built on May 3, 2022, 9:40 p.m.