Posterior propriety of bivariate lomax distribution under objective priors

Sang Gil Kang, Woo Dong Lee and Yongku Kim

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 9, 2201-2209

Abstract: The Lomax or Pareto II, distribution has been quite widely used for reliability modeling and life testing, and applied to the sizes of computer files on servers, and even application in the biological sciences. Especially, the bivariate Lomax distribution is considered for a two components system which works under interdependency circumstances. We here develop the noninformative priors such as the probability matching priors and the reference priors for the parameters in the bivariate lomax population. It turns out that the reference prior satisfy a first order matching criterion only for some parameter groupings. We also check the conditions for the propriety of posterior distributions under the general prior class including the matching priors and the reference priors. It is a quite interesting that the posterior distributions under the reference priors for some parameter groupings are proper, but those for the other parameter groupings are improper. However all of the matching priors give the proper posteriors.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2019.1662049 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:50:y:2021:i:9:p:2201-2209

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2019.1662049

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().