The share of a birth cohort that has had a first arrest, conviction or prison admission by each age, from first events by age and the population: the hazard at each age is the first events over those still without one, and the cumulative risk is one minus the product of the complements, with Greenwood's interval on the log scale of the survival (Bonczar 2003; Pettit and Western 2004). With death rates the first events count only among the cohort still alive, and no interval is given.
Arguments
- age
The ages, increasing.
- ev
The first events at each age: numbers from 0.
- pop
The population at each age: positive numbers.
- atrisk
NULL(the population less those already with an event) or the number at risk at each age.- dth
NULL, or the death rate at each age, from 0 to below 1.- level
The level of the interval: one number between 0 and 1.
References
Pettit, B. and Western, B. (2004). Mass imprisonment and the life course: race and class inequality in U.S. incarceration. American Sociological Review, 69(2), 151-169. doi:10.1177/000312240406900201
Examples
cumrsk(18:22, c(120, 100, 80, 60, 40), rep(10000, 5))
#> cumrsk: cumulative risk of a first event by age
#> age hazard atrisk cumrisk lo hi
#> 18 0.012000000 10000 0.012 0.009863582 0.01413181
#> 19 0.010121457 9880 0.022 0.019120830 0.02487072
#> 20 0.008179959 9780 0.030 0.026650783 0.03333769
#> 21 0.006185567 9700 0.036 0.032341858 0.03964431
#> 22 0.004149378 9640 0.040 0.036151577 0.04383306