{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T19:14:51Z","timestamp":1771010091440,"version":"3.50.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,4,19]],"date-time":"2006-04-19T00:00:00Z","timestamp":1145404800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stat. Meth. & Appl."],"published-print":{"date-parts":[[2007,6,12]]},"DOI":"10.1007\/s10260-006-0012-x","type":"journal-article","created":{"date-parts":[[2006,4,18]],"date-time":"2006-04-18T07:56:13Z","timestamp":1145346973000},"page":"7-26","source":"Crossref","is-referenced-by-count":12,"title":["Bounds for the Bayes Error in Classification: A Bayesian Approach Using Discriminant Analysis"],"prefix":"10.1007","volume":"16","author":[{"given":"T.","family":"Pham-Gia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N.","family":"Turkkan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Bekker","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,4,19]]},"reference":[{"key":"12_CR1","unstructured":"Bernardo MJ, Smith AFM (1994) Bayesian statistics. Chichester"},{"key":"12_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0711-5","volume-title":"A probabilistic a aproach to pattern recognition","author":"L Devroye","year":"1996","unstructured":"Devroye L, Gyorfi L, Lugosi G (1996) A probabilistic a aproach to pattern recognition. Springer, Berlin Heidelberg New York"},{"key":"12_CR3","volume-title":"Multiple hypergeometric functions and applications","author":"H Exton","year":"1976","unstructured":"Exton H (1976) Multiple hypergeometric functions and applications. Chichester\u2013Ellis Howard, London"},{"key":"12_CR4","doi-asserted-by":"crossref","first-page":"3851","DOI":"10.1080\/03610928908830127","volume":"18","author":"HF Inman","year":"1989","unstructured":"Inman HF, Bradley EL (1989) The overlapping coefficient as a measure of agreement between probability distributions and point estimation of the overlap of two normal densities. Commun Statist Theory Method 18:3851\u20133874","journal-title":"Commun Statist Theory Method"},{"key":"12_CR5","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1214\/088342305000000016","volume":"20","author":"A Jasra","year":"2005","unstructured":"Jasra A, Holmes CC, Stephens DA (2005) Markov chain Monte Carlo methods and the label switching problem in Bayesian Mixture Model. Stat Sci 20:50\u201367","journal-title":"Stat Sci"},{"key":"12_CR6","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1109\/TIT.1976.1055512","volume":"22","author":"TSVI Lissack","year":"1976","unstructured":"Lissack TSVI, Fu KS (1976) Error estimation in pattern recognition via L p-distance between posterior density functions. IEEE Trans Info Theory 22:34\u201345","journal-title":"IEEE Trans Info Theory"},{"key":"12_CR7","volume-title":"Mixture models","author":"GJ McLachlan","year":"1988","unstructured":"McLachlan GJ, Basford K (1988) Mixture models. Marcel Dekker, New York"},{"key":"12_CR8","doi-asserted-by":"crossref","DOI":"10.1002\/0471721182","volume-title":"Finite mixture models","author":"GJ McLachlan","year":"2000","unstructured":"McLachlan GJ, Peel D (2000) Finite mixture models. Wiley, Chichester"},{"key":"12_CR9","doi-asserted-by":"crossref","unstructured":"Pham-Gia T, Turkkan N, Bekker A (2005) Bayesian analysis in the L1-norm of the mixing Coefficient. Metrika (in press)","DOI":"10.1007\/s00184-006-0027-1"},{"issue":"7","key":"12_CR10","doi-asserted-by":"crossref","first-page":"1851","DOI":"10.1080\/03610929808832194","volume":"27","author":"T Pham-Gia","year":"1998","unstructured":"Pham-Gia T, Turkkan N (1998) Distribution of the linear combination of two general beta variables, and applications. Commun Stat Theory Method 27(7):1851\u20131869","journal-title":"Commun Stat Theory Method"},{"issue":"7","key":"12_CR11","doi-asserted-by":"crossref","first-page":"1851","DOI":"10.1080\/03610929808832194","volume":"27","author":"T Pham-Gia","year":"1994","unstructured":"Pham-Gia T, Turkkan N (1994) Value of the prior information. Commun Stat Theory Method 27(7):1851\u20131869","journal-title":"Commun Stat Theory Method"},{"key":"12_CR12","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/0167-8655(89)90060-3","volume":"9","author":"S Ray","year":"1989a","unstructured":"Ray S (1989a) On looseness of error bounds provided by the generalized separability measures of Lissack and Fu. Pattern Recogn Lett 9:321\u2013325","journal-title":"Pattern Recogn Lett"},{"key":"12_CR13","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/0167-8655(89)90059-7","volume":"9","author":"S Ray","year":"1989b","unstructured":"Ray S (1989b) On a theoretical property of the Bhattacharyya Coefficient as a failure evaluation criterion. Pattern Recogn Lett 9:315\u2013318","journal-title":"Pattern Recogn Lett"},{"key":"12_CR14","first-page":"441","volume-title":"Markov Chains in Practice","author":"CP Robert","year":"1996","unstructured":"Robert CP (1996). Mixtures of distributions: inference and estimation. In: Gilks, Richardson, Spiegelhalter (eds). Markov Chains in Practice. Chapman and Hall, London, pp 441\u2013464"},{"key":"12_CR15","volume-title":"Statistical analysis of mixture distributions","author":"DM Titterington","year":"1985","unstructured":"Titterington DM, Smith AFM, Makov UE (1985) Statistical analysis of mixture distributions. Wiley, Chichester"}],"container-title":["Statistical Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-006-0012-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10260-006-0012-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-006-0012-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T11:46:32Z","timestamp":1559130392000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10260-006-0012-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,4,19]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,6,12]]}},"alternative-id":["12"],"URL":"https:\/\/doi.org\/10.1007\/s10260-006-0012-x","relation":{},"ISSN":["1618-2510","1613-981X"],"issn-type":[{"value":"1618-2510","type":"print"},{"value":"1613-981X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,4,19]]}}}