tolerance (version 3.0.0)

exptol.int: Exponential Tolerance Intervals

Description

Provides 1-sided or 2-sided tolerance intervals for data distributed according to an exponential distribution. Data with Type II censoring is permitted.

Usage

exptol.int(x, alpha = 0.05, P = 0.99, side = 1, type.2 = FALSE)

Value

exptol.int returns a data frame with items:

alpha

The specified significance level.

P

The proportion of the population covered by this tolerance interval.

lambda.hat

The mean of the data (i.e., 1/rate).

1-sided.lower

The 1-sided lower tolerance bound. This is given only if side = 1.

1-sided.upper

The 1-sided upper tolerance bound. This is given only if side = 1.

2-sided.lower

The 2-sided lower tolerance bound. This is given only if side = 2.

2-sided.upper

The 2-sided upper tolerance bound. This is given only if side = 2.

Arguments

x

A vector of data which is distributed according to an exponential distribution.

alpha

The level chosen such that 1-alpha is the confidence level.

P

The proportion of the population to be covered by this tolerance interval.

side

Whether a 1-sided or 2-sided tolerance interval is required (determined by side = 1 or side = 2, respectively).

type.2

Select TRUE if Type II censoring is present (i.e., the data set is censored at the maximum value present). The default is FALSE.

References

Blischke, W. R. and Murthy, D. N. P. (2000), Reliability: Modeling, Prediction, and Optimization, John Wiley & Sons, Inc.

See Also

Exponential

Examples

## 95%/99% 1-sided exponential tolerance intervals for a
## sample of size 50. 

set.seed(100)
x <- rexp(100, 0.004)
out <- exptol.int(x = x, alpha = 0.05, P = 0.99, side = 1,
                  type.2 = FALSE)
out

plottol(out, x, plot.type = "both", side = "lower", 
        x.lab = "Exponential Data")