cautol.int {tolerance} | R Documentation |
Provides 1-sided or 2-sided tolerance intervals for Cauchy distributed data.
cautol.int(x, alpha = 0.05, P = 0.99, side = 1)
x |
A vector of data which is Cauchy distributed. |
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). |
cautol.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 . |
Bain, L. J. (1978), Statistical Analysis of Reliability and Life-Testing Models, Marcel Dekker, Inc.
## 95%/90% 2-sided Cauchy tolerance interval for a sample ## of size 1000. set.seed(100) x <- rcauchy(1000, 100000, 10) out <- cautol.int(x = x, alpha = 0.05, P = 0.90, side = 2) out plottol(out, x, plot.type = "both", x.lab = "Cauchy Data")