# laptolint: Laplace Tolerance Intervals In tolerance: Statistical Tolerance Intervals and Regions

## Description

Provides 1-sided or 2-sided tolerance intervals for data distributed according to a Laplace distribution.

## Usage

 `1` ```laptol.int(x, alpha = 0.05, P = 0.99, side = 1) ```

## Arguments

 `x` A vector of data which is distributed according to a Laplace 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).

## Value

`laptol.int` returns a data frame with items:

 `alpha` The specified significance level. `P` The proportion of the population covered by this tolerance interval. `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`.

## References

Bain, L. J. and Engelhardt, M. (1973), Interval Estimation for the Two Parameter Double Exponential Distribution, Technometrics, 15, 875–887.

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17``` ``` ## First generate data from a Laplace distribution with location ## parameter 70 and scale parameter 3. set.seed(100) tmp <- runif(40) x <- rep(70, 40) - sign(tmp - 0.5)*rep(3, 40)* log(2*ifelse(tmp < 0.5, tmp, 1-tmp)) ## 95%/90% 1-sided Laplace tolerance intervals for the sample ## of size 40 generated above. out <- laptol.int(x = x, alpha = 0.05, P = 0.90, side = 1) out plottol(out, x, plot.type = "hist", side = "two", x.lab = "Laplace Data") ```

tolerance documentation built on Feb. 6, 2020, 5:08 p.m.