reliaR (version 0.01)

LFRsurvival: Survival related functions for the linear failure rate(LFR) distribution

Description

Conditional reliability function (crf), hazard function, hazard rate average (HRA) and survival function for the linear failure rate(LFR) distribution with parameters alpha and beta.

Usage

crf.lfr(x, t = 0, alpha, beta)
hlfr(x, alpha, beta)
hra.lfr(x, alpha, beta)
slfr(x, alpha, beta)

Arguments

x

vector of quantiles.

alpha

parameter.

beta

parameter.

t

age component.

Value

crf.lfr gives the conditional reliability function (crf), hlfr gives the hazard function, hra.lfr gives the hazard rate average (HRA) function, and slfr gives the survival function for the linear failure rate(LFR) distribution.

References

Bain, L.J. (1974). Analysis for the Linear Failure-Rate Life-Testing Distribution, Technometrics, 16(4), 551 - 559.

Lawless, J.F.(2003). Statistical Models and Methods for Lifetime Data, John Wiley and Sons, New York.

Sen, A. and Bhattacharya, G.K.(1995). Inference procedure for the linear failure rate mode, Journal of Statistical Planning and Inference, 46, 59-76.

See Also

dlfr for other linear failure rate(LFR) distribution related functions;

Examples

## load data set
data(sys2)
## Maximum Likelihood(ML) Estimates of alpha & beta for the data(sys2)
## Estimates of alpha & beta using 'maxLik' package
## alpha.est = 1.77773e-03,  beta.est = 2.77764e-06

## Reliability indicators for data(sys2):

## Reliability function
slfr(sys2, 1.777673e-03, 2.777640e-06)

## Hazard function
hlfr(sys2, 1.777673e-03, 2.777640e-06)

## hazard rate average(hra)
hra.lfr(sys2, 1.777673e-03, 2.777640e-06)

## Conditional reliability function (age component=0)
crf.lfr(sys2, 0.00, 1.777673e-03, 2.777640e-06)

## Conditional reliability function (age component=3.0)
crf.lfr(sys2, 3.0, 1.777673e-03, 2.777640e-06)