Package 'cdlei'

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: <[email protected]>

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.

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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

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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)

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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.

age

a numeric vector

qtau

a numeric vector

qhiv

a numeric vector

Source

Data source: Colorado Department of Public Health and Environment.

Examples

data(lifeData)
str(lifeData)

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