{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T19:49:32Z","timestamp":1769975372783,"version":"3.49.0"},"reference-count":32,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2013,1]]},"DOI":"10.1109\/tit.2012.2219171","type":"journal-article","created":{"date-parts":[[2012,9,19]],"date-time":"2012-09-19T18:11:57Z","timestamp":1348078317000},"page":"438-457","source":"Crossref","is-referenced-by-count":15,"title":["Properties of Jeffreys Mixture for Markov Sources"],"prefix":"10.1109","volume":"59","author":[{"given":"Jun'ichi","family":"Takeuchi","sequence":"first","affiliation":[]},{"given":"Tsutomu","family":"Kawabata","sequence":"additional","affiliation":[]},{"given":"Andrew R.","family":"Barron","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref32","first-page":"513","article-title":"On data compression algorithms by Bayes coding for Markov sources (in Japanese)","author":"takeuchi","year":"1994","journal-title":"Proc 17th Symp Inf Theory Appl"},{"key":"ref31","first-page":"63","article-title":"On minimax regret with respect to families of stationary stochastic processes (in Japanese)","author":"takeuchi","year":"2000","journal-title":"Proc 3rd Workshop Inf Based Induct Sci"},{"key":"ref30","first-page":"7","author":"kawabata","year":"0","journal-title":"Bayes codes and context tree weighting method (in Japanese) Tech Rep IEICE"},{"key":"ref10","author":"hildebrand","year":"1976","journal-title":"Advanced Calculus for Applications"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.830765"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1002\/andp.18471481202"},{"key":"ref13","first-page":"1898","article-title":"A context tree weighting algorithm with an incremental context set","volume":"e83 a","author":"kawabata","year":"2000","journal-title":"IEICE Trans Fund"},{"key":"ref14","author":"maxwell","year":"1892","journal-title":"A Treatise of Electricity and Magnetism"},{"key":"ref15","author":"press","year":"1993","journal-title":"Numerical Recipes in C The Art of Scientific Computing"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056741"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/18.481776"},{"key":"ref18","first-page":"3","article-title":"Universal sequential coding of single messages","volume":"23","author":"shtar'kov","year":"1987","journal-title":"Probl Inf Transmiss"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/18.605579"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/18.825803"},{"key":"ref4","first-page":"376","article-title":"A theorem on trees","volume":"23","author":"cayley","year":"1889","journal-title":"Quart J Math"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/18.556120"},{"key":"ref3","author":"brown","year":"1986","journal-title":"Fundamentals of Statistical Exponential Families"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/18.54897"},{"key":"ref29","first-page":"57","article-title":"Geometry of information sources (in Japanese)","author":"itoh","year":"1988","journal-title":"Proc 11th Symp Inf Theory Appl"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(78)90067-5"},{"key":"ref8","first-page":"2123","article-title":"A generalization of B. S. Clarke and A. R. Barron's asymptotics of Bayes codes for FSMX sources","volume":"e81 a","author":"gotoh","year":"1998","journal-title":"IEICE Trans Fund"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/0378-3758(94)90153-8"},{"key":"ref2","author":"bradley","year":"1998","journal-title":"Representations of Catalan's constant"},{"key":"ref9","author":"gradshteyn","year":"2000","journal-title":"Table of Integrals Series and Products"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/18.782149"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2009.5205510"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.1995.550378"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.1998.708923"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/18.382011"},{"key":"ref23","first-page":"327","article-title":"Properties of Jeffreys mixture for Markov sources","author":"takeuchi","year":"2001","journal-title":"Proc 4th Workshop Inf Based Induction Sciences (it IBIS2001)"},{"key":"ref26","author":"xie","year":"1997","journal-title":"Minimax coding and prediction Doctoral Dissertation"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/18.382012"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/6387658\/06307868.pdf?arnumber=6307868","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,23]],"date-time":"2021-12-23T02:21:38Z","timestamp":1640226098000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6307868\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":32,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2012.2219171","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}