reliaR (version 0.01)

ExpExtsurvival: Survival related functions for the Exponential Extension(EE) distribution

Description

Conditional reliability function (crf), hazard function, hazard rate average (HRA) and survival function for the Exponential Extension(EE) distribution with shape parameter alpha and scale parameter lambda.

Usage

crf.exp.ext(x, t = 0, alpha, lambda)
hexp.ext(x, alpha, lambda)
hra.exp.ext(x, alpha, lambda)
sexp.ext(x, alpha, lambda)

Arguments

x

vector of quantiles.

alpha

shape parameter.

lambda

scale parameter.

t

age component.

Value

crf.exp.ext gives the conditional reliability function (crf), hexp.ext gives the hazard function, hra.exp.ext gives the hazard rate average (HRA) function, and sexp.ext gives the survival function for the Exponential Extension(EE) distribution.

References

Nikulin, M. and Haghighi, F.(2006). A Chi-squared test for the generalized power Weibull family for the head-and-neck cancer censored data, Journal of Mathematical Sciences, Vol. 133(3), 1333-1341.

See Also

dexp.ext for other Exponential Extension(EE) distribution related functions;

Examples

## load data set
data(sys2)
## Maximum Likelihood(ML) Estimates of alpha & lambda for the data(sys2)
## Estimates of alpha & lambda using 'maxLik' package
## alpha.est = 1.0126e+01, lambda.est = 1.5848e-04

## Reliability indicators for data(sys2):

## Reliability function
sexp.ext(sys2, 1.0126e+01, 1.5848e-04)

## Hazard function
hexp.ext(sys2, 1.0126e+01, 1.5848e-04)

## hazard rate average(hra)
hra.exp.ext(sys2, 1.0126e+01, 1.5848e-04)

## Conditional reliability function (age component=0)
crf.exp.ext(sys2, 0.00, 1.0126e+01, 1.5848e-04)

## Conditional reliability function (age component=3.0)
crf.exp.ext(sys2, 3.0, 1.0126e+01, 1.5848e-04)