Inferences about the coefficient of correlation in the standard bivariate normal distribution
| dc.contributor.author | Rosa, G. J. M. [UNESP] | |
| dc.contributor.author | Gianola, D. | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | University of Wisconsin | |
| dc.date.accessioned | 2014-05-27T11:20:21Z | |
| dc.date.available | 2014-05-27T11:20:21Z | |
| dc.date.issued | 2001-12-01 | |
| dc.description.abstract | The study of the association between two random variables that have a joint normal distribution is of interest in applied statistics; for example, in statistical genetics. This article, targeted to applied statisticians, addresses inferences about the coefficient of correlation (ρ) in the bivariate normal and standard bivariate normal distributions using likelihood, frequentist, and Baycsian perspectives. Some results are surprising. For instance, the maximum likelihood estimator and the posterior distribution of ρ in the standard bivariate normal distribution do not follow directly from results for a general bivariate normal distribution. An example employing bootstrap and rejection sampling procedures is used to illustrate some of the peculiarities. | en |
| dc.description.affiliation | Department of Biostatistics UNESP, Botucatu, São Paulo 18618-000 | |
| dc.description.affiliation | Department of Animal Sciences University of Wisconsin, Madison, WI 53706 | |
| dc.description.affiliationUnesp | Department of Biostatistics UNESP, Botucatu, São Paulo 18618-000 | |
| dc.format.extent | 69-93 | |
| dc.identifier | http://hdl.handle.net/11449/66708 | |
| dc.identifier.citation | South African Statistical Journal, v. 35, n. 1, p. 69-93, 2001. | |
| dc.identifier.issn | 0038-271X | |
| dc.identifier.scopus | 2-s2.0-26444452195 | |
| dc.identifier.uri | http://hdl.handle.net/11449/66708 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | South African Statistical Journal | |
| dc.rights.accessRights | Acesso aberto | |
| dc.source | Scopus | |
| dc.subject | Bayesian inference | |
| dc.subject | Bootstrap | |
| dc.subject | EM algorithm | |
| dc.subject | Maximum likelihood | |
| dc.subject | Monte Carlo | |
| dc.subject | Reference prior | |
| dc.subject | Rejection sampling | |
| dc.title | Inferences about the coefficient of correlation in the standard bivariate normal distribution | en |
| dc.type | Artigo | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Botucatu | pt |