exp2tol.int {tolerance} | R Documentation |
2-Parameter Exponential Tolerance Intervals
Description
Provides 1-sided or 2-sided tolerance intervals for data distributed according to a 2-parameter exponential distribution. Data with Type II censoring is permitted.
Usage
exp2tol.int(x, alpha = 0.05, P = 0.99, side = 1,
method = c("GPU", "DUN", "KM"), type.2 = FALSE)
Arguments
x |
A vector of data which is distributed according to the 2-parameter exponential distribution. |
alpha |
The level chosen such that |
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 |
method |
The method for how the upper tolerance bound is approximated. |
type.2 |
Select |
Value
exp2tol.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 |
1-sided.upper |
The 1-sided upper tolerance bound. This is given only if |
2-sided.lower |
The 2-sided lower tolerance bound. This is given only if |
2-sided.upper |
The 2-sided upper tolerance bound. This is given only if |
References
Dunsmore, I. R. (1978), Some Approximations for Tolerance Factors for the Two Parameter Exponential Distribution, Technometrics, 20, 317–318.
Engelhardt, M. and Bain, L. J. (1978), Tolerance Limits and Confidence Limits on Reliability for the Two-Parameter Exponential Distribution, Technometrics, 20, 37–39.
Guenther, W. C., Patil, S. A., and Uppuluri, V. R. R. (1976), One-Sided \beta
-Content Tolerance Factors
for the Two Parameter Exponential Distribution, Technometrics, 18, 333–340.
Krishnamoorthy, K. and Mathew, T. (2009), Statistical Tolerance Regions: Theory, Applications, and Computation, Wiley.
See Also
Examples
## 95%/90% 1-sided 2-parameter exponential tolerance intervals
## for a sample of size 50.
set.seed(100)
x <- r2exp(50, 6, shift = 55)
out <- exp2tol.int(x = x, alpha = 0.05, P = 0.90, side = 1,
method = "DUN", type.2 = FALSE)
out
plottol(out, x, plot.type = "both", side = "upper",
x.lab = "2-Parameter Exponential Data")