Bayesian estimation of isotopic age differences
dc.contributor.author | Curl, Rane L. | en_US |
dc.date.accessioned | 2006-09-08T21:10:26Z | |
dc.date.available | 2006-09-08T21:10:26Z | |
dc.date.issued | 1988-08 | en_US |
dc.identifier.citation | Curl, Rane L.; (1988). "Bayesian estimation of isotopic age differences." Mathematical Geology 20(6): 693-698. <http://hdl.handle.net/2027.42/43196> | en_US |
dc.identifier.issn | 0882-8121 | en_US |
dc.identifier.issn | 1573-8868 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43196 | |
dc.description.abstract | Isotopic dating is subject to uncertainties arising from counting statistics and experimental errors. These uncertainties are additive when an isotopic age difference is calculated. If large, they can lead to no significant age difference by “classical” statistics. In many cases, relative ages are known because of stratigraphic order or other clues. Such information can be used to establish a Bayes estimate of age difference which will include prior knowledge of age order. Age measurement errors are assumed to be log-normal and a noninformative but constrained bivariate prior for two true ages in known order is adopted. True-age ratio is distributed as a truncated log-normal variate. Its expected value gives an age-ratio estimate, and its variance provides credible intervals. Bayesian estimates of ages are different and in correct order even if measured ages are identical or reversed in order. For example, age measurements on two samples might both yield 100 ka with coefficients of variation of 0.2. Bayesian estimates are 22.7 ka for age difference with a 75% credible interval of [4.4, 43.7] ka. | en_US |
dc.format.extent | 234716 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; International Association for Mathematical Geology ; Springer Science+Business Media | en_US |
dc.subject.other | Geosciences | en_US |
dc.subject.other | Hydrogeology | en_US |
dc.subject.other | Math. Applications in Geosciences | en_US |
dc.subject.other | Geotechnical Engineering | en_US |
dc.subject.other | Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences | en_US |
dc.subject.other | Bayes Estimate | en_US |
dc.subject.other | Dating | en_US |
dc.subject.other | Credible Interval | en_US |
dc.subject.other | Stalagmite | en_US |
dc.subject.other | Log-normal | en_US |
dc.title | Bayesian estimation of isotopic age differences | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Geology and Earth Sciences | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemical Engineering, University of Michigan, Dow Building, 48109-2136, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43196/1/11004_2004_Article_BF00890585.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00890585 | en_US |
dc.identifier.source | Mathematical Geology | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.