{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T13:58:43Z","timestamp":1772373523595,"version":"3.50.1"},"reference-count":18,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:00:00Z","timestamp":1619568000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"SEMILLERO","award":["UA.2021"],"award-info":[{"award-number":["UA.2021"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>As an alternative to available bivariate Birnbaum\u2013Saunders (BS) models, a conditionally specified distribution with BS conditionals is considered. The behavior of conditional or pseudo-likelihood parameter estimates of the model parameters is investigated via simulation. A comparison using a mineralogy data set suggests that the conditionally specified model outperforms competing models (with BS marginals). An analogous comparison using a well-known data set of Australian athletes also suggests the superiority of the conditionally specified model. Further investigation of its possible general superiority is suggested.<\/jats:p>","DOI":"10.3390\/sym13050762","type":"journal-article","created":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T22:29:07Z","timestamp":1619648947000},"page":"762","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Note on the Birnbaum\u2013Saunders Conditionals Model"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6952-2075","authenticated-orcid":false,"given":"Barry C.","family":"Arnold","sequence":"first","affiliation":[{"name":"Statistics Department, University of California Riverside, Riverside, CA 92521, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8184-7403","authenticated-orcid":false,"given":"Diego I.","family":"Gallardo","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Atacama, Copiap\u00f3 1530000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3726-5507","authenticated-orcid":false,"given":"H\u00e9ctor W.","family":"G\u00f3mez","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Facultad de Ciencias B\u00e1sicas, Universidad de Antofagasta, Antofagasta 1240000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Leiva, V. (2016). The Birnbaum-Saunders Distribution, Academic Press.","DOI":"10.1016\/B978-0-12-803769-0.00002-9"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1002\/asmb.2348","article-title":"Birnbaum-Saunders distribution: A review of models, analysis, and applications","volume":"35","author":"Balakrishnan","year":"2019","journal-title":"Appl. Stoch. Model. Bus. Ind."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Reyes, J., Barranco-Chamorro, I., Gallardo, D.I., and G\u00f3mez, H.W. (2018). Generalized Modified Slash Birnbaum-Saunders Distribution. Symmetry, 10.","DOI":"10.3390\/sym10120724"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Mart\u00ednez-Fl\u00e9rez, G., Barranco-Chamorro, I., Bolfarine, H., and G\u00f3mez, H.W. (2018). Flexible Birnbaum\u2013Saunders Distribution. Symmetry, 11.","DOI":"10.3390\/sym11101305"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"G\u00f3mez-D\u00e9niz, E., and G\u00f3mez, L. (2020). The Rayleigh Birnbaum Saunders Distribution: A General Fading Model. Symmetry, 12.","DOI":"10.3390\/sym12030389"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Mazucheli, J., Leiva, V., Alves, B., and Menezes, A.F.B. (2021). A New Quantile Regression for Modeling Bounded Data under a Unit Birnbaum\u2013Saunders Distribution with Applications in Medicine and Politics. Symmetry, 13.","DOI":"10.3390\/sym13040682"},{"key":"ref_7","unstructured":"Arnold, B.C., Castillo, E., and Sarabia, J.M. (1999). Conditional Specification of Statistical Models, Springer."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Cook, R.D., and Weisberg, S. (1994). 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