laptol.int {tolerance} | R Documentation |
Provides 1-sided tolerance intervals for data distributed according to a Laplace distribution.
laptol.int(x, alpha = 0.05, P = 0.99)
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. |
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. |
1-sided.upper |
The 1-sided upper tolerance bound. |
Bain, L. J. and Engelhardt, M. (1973), Interval Estimation for the Two Parameter Double Exponential Distribution, Technometrics, 15, 875–887.
## 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) out plottol(out, x, plot.type = "hist", side = "two", x.lab = "Laplace Data")