reliaR (version 0.2)

LogisExpsurvival: Survival related functions for the Logistic-Exponential(LE) distribution

Description

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

Usage

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

Value

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

hlogis.exp gives the hazard function,

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

slogis.exp gives the survival function for the Logistic-Exponential(LE) 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.exp for other Logistic-Exponential(LE) distribution related functions;

Examples

## load data set
data(bearings)
## Maximum Likelihood(ML) Estimates of alpha & lambda for the data(bearings)
## Estimates of alpha & lambda using 'maxLik' package
## alpha.est = 2.36754, lambda.est = 0.01059

## Reliability indicators for data(bearings):

## Reliability function
slogis.exp(bearings, 2.36754, 0.01059)

## Hazard function
hlogis.exp(bearings, 2.36754, 0.01059)

## hazard rate average(hra)
hra.logis.exp(bearings, 2.36754, 0.01059)

## Conditional reliability function (age component=0)
crf.logis.exp(bearings, 0.00, 2.36754, 0.01059)

## Conditional reliability function (age component=3.0)
crf.logis.exp(bearings, 3.0, 2.36754, 0.01059)