Tolerance limits under zero‐inflated lognormal and gamma distributions. Issue 1 (24th June 2020)

• Record Type: Journal Article
• Authors: Zimmer, Zachary; Park, DoHwan; Mathew, Thomas
• Other Names: Marques Filipe guestEditor.; Ghosh Indranil guestEditor.; Mallick Avishek guestEditor.; Mota Pedro guestEditor.
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 1(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-06-24
• Subjects: BCa bootstrap -- bootstrap calibration -- bootstrap‐calibrated delta method -- delta method -- fiducial quantity; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1113
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : The computation of upper tolerance limits is investigated for the zero‐inflated lognormal distribution and the zero‐inflated gamma distribution, with or without covariates. The methodologies investigated consist of a fiducial approach and bootstrap approaches, including the bias corrected and accelerated bootstrap and a bootstrap‐calibrated delta method. Based on estimated coverage probabilities, it is concluded that overall, the bootstrap‐calibrated delta method is to be preferred for computing the upper tolerance limit. Two applications are also discussed; the first application is on the analysis of data on health care expenditures, and the second application is on testing the safety of body armor.