Statistical Tolerance Intervals and Regions
The 2-Parameter Exponential Distribution
Acceptance Sampling
Tolerance Intervals for ANOVA
Bayesian Normal Tolerance Intervals
Binomial Tolerance Intervals
Approximate 2-Sided Tolerance Intervals that Control the Tails Using B...
Cauchy Tolerance Intervals
1-Sided Tolerance Limits for the Distribution of the Difference Betwee...
Difference Between Two Proportions Distribution
Estimating Various Quantities for Distribution-Free Tolerance Interval...
Discrete Pareto Distribution
Maximum Likelihood Estimation for the Discrete Pareto Distribution
Discrete Pareto Tolerance Intervals
2-Parameter Exponential Tolerance Intervals
Exponential Tolerance Intervals
Weibull (or Extreme-Value) Tolerance Intervals
Appell's F1 Hypergeometric Function
Fiducial-Based Tolerance Intervals for the Function of Two Binomial Pr...
Fiducial-Based Tolerance Intervals for the Function of Two Negative Bi...
Fiducial-Based Tolerance Intervals for the Function of Two Poisson Rat...
Gamma (or Log-Gamma) Tolerance Intervals
Hypergeometric Tolerance Intervals
Estimating K-factors for Tolerance Intervals Based on Normality
Estimating K-factors for Simultaneous Tolerance Intervals Based on Nor...
Tables of K-factors for Tolerance Intervals Based on Normality
Laplace Tolerance Intervals
Logistic (or Log-Logistic) Tolerance Intervals
Multivariate (Multiple) Linear Regression Tolerance Regions
Multivariate Normal Tolerance Regions
Negative Binomial Tolerance Intervals
The Negative Hypergeometric Distribution
Negative Hypergeometric Tolerance Intervals
Nonlinear Regression Tolerance Bounds, Version 2
Nonparametric Regression Tolerance Bounds
Nonparametric Tolerance Intervals
Operating Characteristic (OC) Curves for K-Factors for Tolerance Inter...
Sample Size Determination for Normal Tolerance Intervals
Normal (or Log-Normal) Tolerance Intervals
Nonparametric Beta-Expectation Tolerance Intervals
Nonparametric Multivariate Hyperrectangular Tolerance Regions
Sample Size Determination for Tolerance Limits Based on Order Statisti...
Pareto (or Power Distribution) Tolerance Intervals
Plotting Tolerance Intervals for ANOVA
Plotting Tolerance Intervals for Control Charts
Plotting Histograms and Corresponding Tolerance Intervals for Continuo...
Plotting Tolerance Region for Multivariate Distributions
Operating Characteristic (OC) Curves for K-Factors for Tolerance Inter...
plotting Nonparametric Multivaraite Hyperrectangular Tolerance Region
Plotting Tolerance Intervals for Regressions
Plotting Capabilities for Tolerance Intervals
Discrete Poisson-Lindley Distribution
Maximum Likelihood Estimation for the Discrete Poisson-Lindley Distrib...
Poisson-Lindley Tolerance Intervals
Poisson Tolerance Intervals
(Multiple) Linear Regression Tolerance Bounds
Generalized Intervals for Semicontinuous Data
Simultaneous Normal (or Log-Normal) Tolerance Intervals
Internal Functions
Statistical Tolerance Intervals and Regions
Uniformly Most Accurate Upper Tolerance Limits for Certain Discrete Di...
Uniform Tolerance Intervals
Zipf-Mandelbrot Distributions
Zipf-Mandelbrot Tolerance Intervals
Maximum Likelihood Estimation for Zipf-Mandelbrot Models
Statistical tolerance limits provide the limits between which we can expect to find a specified proportion of a sampled population with a given level of confidence. This package provides functions for estimating tolerance limits (intervals) for various univariate distributions (binomial, Cauchy, discrete Pareto, exponential, two-parameter exponential, extreme value, hypergeometric, Laplace, logistic, negative binomial, negative hypergeometric, normal, Pareto, Poisson-Lindley, Poisson, uniform, and Zipf-Mandelbrot), Bayesian normal tolerance limits, multivariate normal tolerance regions, nonparametric tolerance intervals, tolerance bands for regression settings (linear regression, nonlinear regression, nonparametric regression, and multivariate regression), and analysis of variance tolerance intervals. Visualizations are also available for most of these settings.