exptol.int {tolerance} | R Documentation |
Provides 1-sided or 2-sided tolerance intervals for data distributed according to an exponential distribution. Data with Type II censoring is permitted.
exptol.int(x, alpha = 0.05, P = 0.99, side = 1, type.2 = FALSE)
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 . |
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 . |
Blischke, W. R. and Murthy, D. N. P. (2000), Reliability: Modeling, Prediction, and Optimization, John Wiley & Sons, Inc.
## 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")