Cause-specific decrement probability under constant forces

Computes $$ {}_tq_x^{(j)} = \frac{\mu_j}{\sum_k\mu_k} \left[ 1-\exp\left(-t\sum_k\mu_k\right) \right]. $$

Usage

tqxj_cf(mu, j, t)

Arguments

mu

Numeric vector of nonnegative cause-specific forces.

j

Positive integer cause index.

t

Nonnegative time. May be scalar or vector.

Value

A numeric vector.

Examples

tqxj_cf(c(0.10, 0.20), j = 1, t = 5)
#> [1] 0.2589566