cdlei {cdlei}R Documentation

The life expectancy improvement with a cure distribution for a cause of death.

Description

In may circumstances, to increase in life expectancy when a certain cause of death is eliminated is sought, but this is usually done by taking the cause out of consideration fully, which is unrealistic. Here, we incorporate a probability distribution for the cure of the cause over time, to more accurately predict the increase in life expectancy at each age.

Usage

cdlei(age, qtau, qhiv, k, d)

Arguments

age

age

qtau

vector of probabilities of death by all causes at each age

qhiv

vector of probabilities of death by HIV at each age

k

cure probability parameter

d

index

Value

cdlei

cause-deleted life expectancy

qx

probability of deatch at age x

px

probability of survival at age x

tpx

probability an x year old survives to age x+t

sumtpx

sum of tpx

Fk

probability of curve

pxx

probability of survival at age x, using cure probability

tpxx

probability of sirviving t years after age x, using cure probability

sumtpxx

cumulative sum of tpx

df

data frame

Author(s)

Peter Adamic, Alicja Wolny-Dominiak

References

1. Adamic, P. (2015). Life Expectancy Improvement with a Curve Distribution for a cause of death, Australian Journal of Actuarial Practice, 3, 59-70.
2. Adamic, P. (2008). Cause-deleted life expectancy improvement in the presence of left and right censoring. Belgian Actuarial Bulletin, 8: 17-21.
3. Brown, R.L. (1997). Introduction to the Mathematics of Demography, 3rd ed, Winsted, Connecticut: Actex.

Examples

data(lifeData)
res <- cdlei(lifeData$age, lifeData$qtau, lifeData$qhiv, 0.02, 100000)
str(res)
res$cdlei


[Package cdlei version 1.0 Index]