reliaR (version 0.01)

MOEWsurvival: Survival related functions for the Marshall-Olkin Extended Weibull (MOEW) distribution

Description

Conditional reliability function (crf), hazard function, hazard rate average (HRA) and survival function for the Marshall-Olkin Extended Weibull (MOEW) distribution with tilt parameter alpha and scale parameter lambda.

Usage

crf.moew(x, t = 0, alpha, lambda)
hmoew(x, alpha, lambda)
hra.moew(x, alpha, lambda)
smoew(x, alpha, lambda)

Arguments

x

vector of quantiles.

alpha

tilt parameter.

lambda

scale parameter.

t

age component.

Value

crf.moew gives the conditional reliability function (crf), hmoew gives the hazard function, hra.moew gives the hazard rate average (HRA) function, and smoew gives the survival function for the MOEW distribution.

References

Marshall, A. W., Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika,84(3):641-652.

Marshall, A. W., Olkin, I.(2007). Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families. Springer, New York.

See Also

dmoew for other MOEW distribution related functions;

Examples

## load data set 
data(sys2)
## Maximum Likelihood(ML) Estimates of alpha & lambda for the data(sys2)
## alpha.est = 0.3035937,  lambda.est = 279.2177754
## Reliability indicators for data(sys2):

## Reliability function
smoew(sys2, 0.3035937, 279.2177754)

## Hazard function 
hmoew(sys2, 0.3035937, 279.2177754)

## hazard rate average(hra)
hra.moew(sys2, 0.3035937, 279.2177754)

## Conditional reliability function (age component=0)
crf.moew(sys2, 0.00, 0.3035937, 279.2177754)

## Conditional reliability function (age component=3.0)
crf.moew(sys2, 3.0, 0.3035937, 279.2177754)