Learn R Programming

⚠️There's a newer version (3.0.0) of this package.Take me there.

tolerance (version 2.0.0)

Statistical Tolerance Intervals and Regions

Description

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.

Copy Link

Version

Install

install.packages('tolerance')

Monthly Downloads

1,037

Version

2.0.0

License

GPL (>= 2)

Maintainer

Derek S. Young

Last Published

February 5th, 2020

Functions in tolerance (2.0.0)

acc.samp

Acceptance Sampling
distfree.est

Estimating Various Quantities for Distribution-Free Tolerance Intervals
dpareto.ll

Maximum Likelihood Estimation for the Discrete Pareto Distribution
NegHypergeometric

The Negative Hypergeometric Distribution
K.table

Tables of K-factors for Tolerance Intervals Based on Normality
bintol.int

Binomial Tolerance Intervals
norm.ss

Sample Size Determination for Normal Tolerance Intervals
np.order

Sample Size Determination for Tolerance Limits Based on Order Statistics
normtol.int

Normal (or Log-Normal) Tolerance Intervals
fidpoistol.int

Fiducial-Based Tolerance Intervals for the Function of Two Poisson Rates
dparetotol.int

Discrete Pareto Tolerance Intervals
fidbintol.int

Fiducial-Based Tolerance Intervals for the Function of Two Binomial Proportions
bayesnormtol.int

Bayesian Normal Tolerance Intervals
DiscretePareto

Discrete Pareto Distribution
bonftol.int

Approximate 2-Sided Tolerance Intervals that Control the Tails Using Bonferroni's Inequality
paretotol.int

Pareto (or Power Distribution) Tolerance Intervals
fidnegbintol.int

Fiducial-Based Tolerance Intervals for the Function of Two Negative Binomial Proportions
exttol.int

Weibull (or Extreme-Value) Tolerance Intervals
nlregtol.int

Nonlinear Regression Tolerance Bounds
simnormtol.int

Simultaneous Normal (or Log-Normal) Tolerance Intervals
zipftol.int

Zipf-Mandelbrot Tolerance Intervals
K.factor

Estimating K-factors for Tolerance Intervals Based on Normality
npregtol.int

Nonparametric Regression Tolerance Bounds
zm.ll

Maximum Likelihood Estimation for Zipf-Mandelbrot Models
cautol.int

Cauchy Tolerance Intervals
tolerance-internal

Internal Functions
gamtol.int

Gamma (or Log-Gamma) Tolerance Intervals
K.factor.sim

Estimating K-factors for Simultaneous Tolerance Intervals Based on Normality
hypertol.int

Hypergeometric Tolerance Intervals
npbetol.int

Nonparametric Beta-Expectation Tolerance Intervals
exptol.int

Exponential Tolerance Intervals
mvregtol.region

Multivariate (Multiple) Linear Regression Tolerance Regions
exp2tol.int

2-Parameter Exponential Tolerance Intervals
mvtol.region

Multivariate Normal Tolerance Regions
npmvtol.region

Nonparametric Multivariate Hyperrectangular Tolerance Regions
nptol.int

Nonparametric Tolerance Intervals
regtol.int

(Multiple) Linear Regression Tolerance Bounds
poistol.int

Poisson Tolerance Intervals
norm.OC

Operating Characteristic (OC) Curves for K-Factors for Tolerance Intervals Based on Normality
uniftol.int

Uniform Tolerance Intervals
ZipfMandelbrot

Zipf-Mandelbrot Distributions
plottol

Plotting Capabilities for Tolerance Intervals
tolerance-package

Statistical Tolerance Intervals and Regions
PoissonLindley

Discrete Poisson-Lindley Distribution
TwoParExponential

The 2-Parameter Exponential Distribution
F1

Appell's F1 Hypergeometric Function
umatol.int

Uniformly Most Accurate Upper Tolerance Limits for Certain Discrete Distributions
laptol.int

Laplace Tolerance Intervals
logistol.int

Logistic (or Log-Logistic) Tolerance Intervals
diffnormtol.int

1-Sided Tolerance Limits for the Distribution of the Difference Between Two Independent Normal Random Variables
DiffProp

Difference Between Two Proportions Distribution
negbintol.int

Negative Binomial Tolerance Intervals
neghypertol.int

Negative Hypergeometric Tolerance Intervals
poislindtol.int

Poisson-Lindley Tolerance Intervals
poislind.ll

Maximum Likelihood Estimation for the Discrete Poisson-Lindley Distribution
anovatol.int

Tolerance Intervals for ANOVA