Tolerance limits under zero‐inflated lognormal and gamma distributions
| dc.contributor.author | Zimmer, Zachary | |
| dc.contributor.author | Park, DoHwan | |
| dc.contributor.author | Mathew, Thomas | |
| dc.date.accessioned | 2020-07-02T18:19:32Z | |
| dc.date.available | 2020-07-02T18:19:32Z | |
| dc.date.issued | 2020-05-28 | |
| dc.description.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. | en_US |
| dc.description.sponsorship | The authors are grateful to two reviewers for several helpful suggestions. | en_US |
| dc.description.uri | https://onlinelibrary.wiley.com/doi/abs/10.1002/cmm4.1113 | en_US |
| dc.format.extent | 9 pages | en_US |
| dc.genre | journal articles postprints | en_US |
| dc.identifier | doi:10.13016/m2cbrp-jczd | |
| dc.identifier.citation | Zachary Zimmer, DoHwan Park and Thomas Mathew, Tolerance limits under zero‐inflated lognormal and gamma distributions, Comp and Math Methods. 2020;e1113, doi: https://doi.org/10.1002/cmm4.1113 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/cmm4.1113 | |
| dc.identifier.uri | http://hdl.handle.net/11603/19063 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights | This is the peer reviewed version of the following article: Zachary Zimmer, DoHwan Park and Thomas Mathew, Tolerance limits under zero-inflated lognormal and gamma distributions, Comp and Math Methods. 2020;e1113, doi: https://doi.org/10.1002/cmm4.1113, which has been published in final form at https://doi.org/10.1002/cmm4.1113. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | |
| dc.rights | Access to this item will begin on 7/28/21 | |
| dc.title | Tolerance limits under zero‐inflated lognormal and gamma distributions | en_US |
| dc.type | Text | en_US |