{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T07:44:40Z","timestamp":1762674280965},"reference-count":11,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[1985,7,1]],"date-time":"1985-07-01T00:00:00Z","timestamp":489024000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1985,7,1]]},"abstract":"<jats:title>SUMMARY<\/jats:title>\n               <jats:p>It is proved that the scaled deviance of an inverse Gaussian sample of size n can be expressed as a sum of n \u2013 1 independent chi-square variates. Applications to prediction intervals and squared recursive-residuals are illustrated.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1985.tb01377.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T06:35:11Z","timestamp":1544164511000},"page":"476-481","source":"Crossref","is-referenced-by-count":9,"title":["An Exact Chi-Squared Decomposition Theorem for Inverse Gaussian Variates"],"prefix":"10.1093","volume":"47","author":[{"given":"G.","family":"Letac","sequence":"first","affiliation":[{"name":"Universit\u00e9 Paul Sabatier"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V.","family":"Seshadri","sequence":"additional","affiliation":[{"name":"McGill University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G. A.","family":"Whitmore","sequence":"additional","affiliation":[{"name":"McGill University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090921080700300_rssb01377-cit-0001","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1214\/aos\/1176346244","article-title":"Reproductive exponential families","volume":"11","author":"Barndorff-Nielsen","year":"1983","journal-title":"Ann. Statist."},{"key":"2024090921080700300_rssb01377-cit-0002","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1111\/j.2517-6161.1975.tb01532.x","article-title":"Techniques for testing the constancy of regression relationships over time (with Discussion)","volume":"37","author":"Brown","year":"1975","journal-title":"J. R. Statist. Soc. B"},{"key":"2024090921080700300_rssb01377-cit-0003","doi-asserted-by":"crossref","first-page":"319","DOI":"10.2307\/1267827","article-title":"Prediction limits for the inverse Gaussian distribution","volume":"24","author":"Chhikara","year":"1982","journal-title":"Technometrics"},{"key":"2024090921080700300_rssb01377-cit-0004","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1111\/j.2517-6161.1978.tb01039.x","article-title":"The inverse Gaussian distribution and its statistical application \u2013 a review (with Discussion)","volume":"40","author":"Folks","year":"1978","journal-title":"J. R. Statist. Soc. B"},{"key":"2024090921080700300_rssb01377-cit-0005","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5698-4","volume-title":"Statistical Properties of the Generalized Inverse Gaussian Distribution.","author":"Jorgensen","year":"1982"},{"key":"2024090921080700300_rssb01377-cit-0006","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3244-0","volume-title":"Generalized Linear Models.","author":"McCullagh","year":"1983"},{"key":"2024090921080700300_rssb01377-cit-0007","doi-asserted-by":"crossref","first-page":"370","DOI":"10.2307\/2344614","article-title":"Generalized linear models","volume":"135","author":"Nelder","year":"1972","journal-title":"J. R. Statist. Soc. A"},{"key":"2024090921080700300_rssb01377-cit-0008","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1080\/00401706.1963.10490105","article-title":"Theoretical explanation of observed decreasing failure rate","volume":"5","author":"Proschan","year":"1963","journal-title":"Technometrics"},{"key":"2024090921080700300_rssb01377-cit-0009","doi-asserted-by":"crossref","first-page":"131","DOI":"10.2307\/3314980","article-title":"The inverse Gaussian distribution \u2013 some properties and characterizations","volume":"11","author":"Seshadri","year":"1983","journal-title":"Canad. J. Statist."},{"key":"2024090921080700300_rssb01377-cit-0010","doi-asserted-by":"crossref","first-page":"1514","DOI":"10.1080\/01621459.1968.10480942","article-title":"On the inverse Gaussian distribution function","volume":"63","author":"Shuster","year":"1968","journal-title":"J. Amer. Statist. Ass."},{"key":"2024090921080700300_rssb01377-cit-0011","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1214\/aoms\/1177706964","article-title":"Statistical properties of inverse Gaussian distributions I","volume":"28","author":"Tweedie","year":"1957","journal-title":"Ann. Math. Statist."}],"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2Fj.2517-6161.1985.tb01377.x","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/47\/3\/476\/49099492\/jrsssb_47_3_476.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/47\/3\/476\/49099492\/jrsssb_47_3_476.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T22:05:06Z","timestamp":1725919506000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/47\/3\/476\/7028109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,7,1]]},"references-count":11,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2018,12,5]]},"published-print":{"date-parts":[[1985,7,1]]}},"URL":"https:\/\/doi.org\/10.1111\/j.2517-6161.1985.tb01377.x","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"type":"print","value":"1369-7412"},{"type":"electronic","value":"1467-9868"}],"subject":[],"published-other":{"date-parts":[[1985,7]]},"published":{"date-parts":[[1985,7,1]]}}}