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Monte Carlo random sampling of input variables to estimate output sample upper or lower bounds for a given number of calculations.In this case, the total cost is 59 simulations.The resulting analysis is the following:

- S. S. Wilks, “Determination of sample sizes for setting tolerance limits”, Annals of Mathematical Statistics 12 (1941) pp. 91-96.
- S. S. Wilks, “Statistical prediction with special reference to the problem of tolerance limits”, Annals of Mathematical Statistics 13 (1942) pp. 400-409.

Random sampling is wrapped from [R] random models:

- Uniform(min,max) from [d|p|q|r]unif function
- Normal(mean,sd) from [d|p|q|r]norm function
- LogNormal(meanlog,sdlog) from [d|p|q|r]lnorm function
- Beta(shape1,shape2) from [d|p|q|r]beta function
- Exponential(rate) from [d|p|q|r]exp function
- Pareto(location,shape) from [d|p|q|r]pareto function from VGAM package
- Gamma(shape,scale) from [d|p|q|r]gamma
- Gumbel(loc,scale) from [d|p|q|r]gumbel function from evd package
- Logistic(location,scale) from [d|p|q|r]logis function
- Cauchy(location,scale) from [d|p|q|r]cauchy function
- Student(df) from [d|p|q|r]t function
- F(df1,df2) from [d|p|q|r]f function
- ChiSquared(df) from [d|p|q|r]chisq function
- Poisson(lambda) from [d|p|q|r]pois function
- Binomial(size,prob) from [d|p|q|r]binom function
- NegativeBinomial(size,prob) from [d|p|q|r]nbinom function
- Geometric(prob) from [d|p|q|r]geom function
- Hypergeometric(m,n,k) from [d|p|q|r]hyperm function
- Wilcoxon(m,n) from [d|p|q|r]wilcox function
- Triangular(theta,lower,upper) from [d|p|q|r]triangle function from VGAM package
- TruncatedNormal(mean,sd,lower,upper) from [d|p|q|r]tnorm function from msm package
- Weibull(shape,scale) from [d|p|q|r]weibull function
- RWeibull(loc,shape,scale) from [d|p|q|r]rweibull function from evd package
- Frechet(loc,shape,scale) from [d|p|q|r]frechet function from evd package
- GEV(loc,shape,scale) from [d|p|q|r]gev function from evd package

- copy in “
**Promethee_Install_Path**/plugins/doe” directory, - restart Promethee GUI.