reliaR (version 0.01)

Chensurvival: Survival related functions for the Chen distribution

Description

Conditional reliability function (crf), hazard function, hazard rate average (HRA) and survival function for the Chen distribution with shape parameter beta and scale parameter lambda.

Usage

crf.chen(x, t = 0, beta, lambda)
hchen(x, beta, lambda)
hra.chen(x, beta, lambda)
schen(x, beta, lambda)

Arguments

x

vector of quantiles.

beta

shape parameter.

lambda

scale parameter.

t

age component.

Value

crf.chen gives the conditional reliability function (crf), hchen gives the hazard function, hra.chen gives the hazard rate average (HRA) function, and schen gives the survival function for the Chen distribution.

References

Chen, Z.(2000). A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function, Statistics and Probability Letters, 49, 155-161.

Pham, H. (2003). Handbook of Reliability Engineering, Springer-Verlag.

See Also

dchen for other Chen distribution related functions

Examples

## Maximum Likelihood(ML) Estimates of beta & lambda 
## beta.est = 0.262282404, lambda.est = 0.007282371
## Load data sets
data(sys2)

## Reliability indicators:

## Reliability function
schen(sys2, 0.262282404, 0.007282371)

## Hazard function 
hchen(sys2, 0.262282404, 0.007282371)

## hazard rate average(hra)
hra.chen(sys2, 0.262282404, 0.007282371)

## Conditional reliability function (age component=0)
crf.chen(sys2, 0.00, 0.262282404, 0.007282371)

## Conditional reliability function (age component=3.0)
crf.chen(sys2, 3.0, 0.262282404, 0.007282371)