| Type: | Package |
| Title: | Cause-Deleted Life Expectancy Improvement Procedure |
| Version: | 1.0 |
| Date: | 2020-01-24 |
| Author: | Peter Adamic, Alicja Wolny-Dominiak |
| Maintainer: | Alicja Wolny-Dominiak <woali@ue.katowice.pl> |
| Description: | The concept of cause-deleted life expectancy improvement is statistic designed to quantify the increase in life expectancy if a certain cause of death is removed. See Adamic, P. (2015) (https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2689352). |
| License: | GPL-2 |
| NeedsCompilation: | no |
| Packaged: | 2020-01-29 12:27:53 UTC; woali |
| Depends: | R (≥ 3.5.0) |
| Repository: | CRAN |
| Date/Publication: | 2020-02-09 16:40:09 UTC |
Cause-Deleted Life Expectancy Improvement Procedure
Description
The concept of cause-deleted life expectancy improvement is statistic designed to quantify the increase inlife expectancy if a certain cause of death is removed.
Author(s)
Peter Adamic, Alicja Wolny-Dominiak Maintainer: <alicja.wolny-dominiak@ue.katowice.pl>
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.
Curve Probability function
Description
A simple discrete-time function accounting for the probability that HIV will be cured by time t. Assume the curve function begins at age 0.
Usage
Fk(age, k)
Arguments
age |
age of person |
k |
cure probability parameter |
Value
Fk |
curve probability function |
Author(s)
Peter Adamic, Alicja Wolny-Dominiak
References
1. Adamic, P. (2008). Cause-deleted life expectancy improvement in the presence of
left and right censoring. Belgian Actuarial Bulletin, 8: 17-21.
2. Brown, R.L. (1997). Introduction to the Mathematics of Demography, 3rd ed, Winsted, Connecticut: Actex.
Examples
data(lifeData)
Fk(lifeData$age, 0.02)
The life expectancy improvement with a cure distribution for a cause of death.
Description
In may circumstances, to increase in life expectancy when a certain cause of death is eliminated is sought, but this is usually done by taking the cause out of consideration fully, which is unrealistic. Here, we incorporate a probability distribution for the cure of the cause over time, to more accurately predict the increase in life expectancy at each age.
Usage
cdlei(age, qtau, qhiv, k, d)
Arguments
age |
age |
qtau |
vector of probabilities of death by all causes at each age |
qhiv |
vector of probabilities of death by HIV at each age |
k |
cure probability parameter |
d |
index |
Value
cdlei |
cause-deleted life expectancy |
qx |
probability of deatch at age x |
px |
probability of survival at age x |
tpx |
probability an x year old survives to age x+t |
sumtpx |
sum of tpx |
Fk |
probability of curve |
pxx |
probability of survival at age x, using cure probability |
tpxx |
probability of sirviving t years after age x, using cure probability |
sumtpxx |
cumulative sum of tpx |
df |
data frame |
Author(s)
Peter Adamic, Alicja Wolny-Dominiak
References
1. Adamic, P. (2015). Life Expectancy Improvement with a Curve Distribution for a cause of death, Australian Journal of Actuarial Practice, 3, 59-70.
2. Adamic, P. (2008). Cause-deleted life expectancy improvement in the presence of
left and right censoring. Belgian Actuarial Bulletin, 8: 17-21.
3. Brown, R.L. (1997). Introduction to the Mathematics of Demography, 3rd ed, Winsted, Connecticut: Actex.
Examples
data(lifeData)
res <- cdlei(lifeData$age, lifeData$qtau, lifeData$qhiv, 0.02, 100000)
str(res)
res$cdlei
HIV-related deaths from Colorado, USA, between 2000-2012.
Description
Input data matrix consists of the probabilities of death from all causes, and by HIV only, for ages 0 to 103 (inclusive).
Usage
data("lifeData")Format
A data frame with 104 observations on the following 3 variables.
agea numeric vector
qtaua numeric vector
qhiva numeric vector
Source
Data source: Colorado Department of Public Health and Environment.
Examples
data(lifeData)
str(lifeData)