Fiducial-based tolerance intervals for some discrete distributions

DOI10.1016/J.CSDA.2012.11.015zbMath1348.62034OpenAlexW2079023487MaRDI QIDQ333689

Derek S. Young, Thomas Mathew

Publication date: 31 October 2016

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2012.11.015

zbMATH Keywords

Poisson distributionnegative binomial distributioncoverage probabilitybinomial distribution\texttt{tolerance} packagefiducial inferenceinverse sampling

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to statistics (62-04) Characterization and structure theory of statistical distributions (62E10)

Related Items (7)

Two sample comparisons including zero-inflated continuous data: a parametric approach with applications to microarray experiment ⋮ Confidence intervals, prediction intervals and tolerance intervals for negative binomial distributions ⋮ Confidence distributions: a review ⋮ Generalized fiducial inference on the mean of zero-inflated Poisson and Poisson hurdle models ⋮ Approximate tolerance intervals for the discrete Poisson–Lindley distribution ⋮ Win-probabilities for comparing two Poisson variables ⋮ Tolerance intervals for hypergeometric and negative hypergeometric variables

Uses Software

• R
• tolerance

Cites Work

• Fiducial prediction intervals
• A simple improved inferential method for some discrete distributions
• Interval estimation for a binomial proportion. (With comments and a rejoinder).
• Inference for functions of parameters in discrete distributions based on fiducial approach: binomial and Poisson cases
• Confidence interval estimation under inverse sampling
• Statistical Tolerance Regions: Theory, Applications, and Computation
• Testing the Ratio of Two Poisson Rates
• Exact Analysis of Discrete Data
• Uniformly Most Accurate Upper Tolerance Limits for Monotone Likelihood Ratio Families of Discrete Distributions
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