reliaR (version 0.2)

LogisRayleighsurvival: Survival related functions for the Logistic-Rayleigh(LR) distribution

Description

Conditional reliability function (crf), hazard function, hazard rate average (HRA) and survival function for the Logistic-Rayleigh(LR) distribution with shape parameter alpha and scale parameter lambda.

Usage

crf.logis.rayleigh(x, t = 0, alpha, lambda)
hlogis.rayleigh(x, alpha, lambda)
hra.logis.rayleigh(x, alpha, lambda)
slogis.rayleigh(x, alpha, lambda)

Value

crf.logis.rayleigh gives the conditional reliability function (crf),

hlogis.rayleigh gives the hazard function,

hra.logis.rayleigh gives the hazard rate average (HRA) function, and

slogis.rayleigh gives the survival function for the Logistic-Rayleigh(LR) distribution.

Arguments

x

vector of quantiles.

alpha

shape parameter.

lambda

scale parameter.

t

age component.

References

Lan, Y. and Leemis, L. M. (2008). The Logistic-Exponential Survival Distribution, Naval Research Logistics, 55, 252-264.

See Also

dlogis.rayleigh for other Logistic-Rayleigh(LR) distribution related functions;

Examples

## load data set
data(stress)
## Maximum Likelihood(ML) Estimates of alpha & lambda for the data(stress)
## Estimates of alpha & lambda using 'maxLik' package
## alpha.est = 1.4779388, lambda.est = 0.2141343

## Reliability indicators for data(stress):

## Reliability function
slogis.rayleigh(stress, 1.4779388, 0.2141343)

## Hazard function
hlogis.rayleigh(stress, 1.4779388, 0.2141343)

## hazard rate average(hra)
hra.logis.rayleigh(stress, 1.4779388, 0.2141343)

## Conditional reliability function (age component=0)
crf.logis.rayleigh(stress, 0.00, 1.4779388, 0.2141343)

## Conditional reliability function (age component=3.0)
crf.logis.rayleigh(stress, 3.0, 1.4779388, 0.2141343)