{"id":"https://openalex.org/W4236303225","doi":"https://doi.org/10.1017/s002190020001144x","title":"A New Two-Urn Model","display_name":"A New Two-Urn Model","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W4236303225","doi":"https://doi.org/10.1017/s002190020001144x"},"language":"en","primary_location":{"id":"doi:10.1017/s002190020001144x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s002190020001144x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CAF497099893238FE82CA14DDC334A2C/S002190020001144Xa.pdf/div-class-title-a-new-two-urn-model-div.pdf","source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CAF497099893238FE82CA14DDC334A2C/S002190020001144Xa.pdf/div-class-title-a-new-two-urn-model-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022076049","display_name":"May-Ru Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"May-Ru Chen","raw_affiliation_strings":["National Sun Yat-sen University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Sun Yat-sen University","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033831774","display_name":"Shoou-Ren Hsiau","orcid":null},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Shoou-Ren Hsiau","raw_affiliation_strings":["National Sun Yat-sen University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Sun Yat-sen University","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072577723","display_name":"Ting-Hsin Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I70522481","display_name":"National Changhua University of Education","ror":"https://ror.org/005gkfa10","country_code":"TW","type":"education","lineage":["https://openalex.org/I70522481"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ting-Hsin Yang","raw_affiliation_strings":["National Changhua University of Education"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Changhua University of Education","institution_ids":["https://openalex.org/I70522481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022076049","https://openalex.org/A5033831774","https://openalex.org/A5072577723"],"corresponding_institution_ids":["https://openalex.org/I142974352","https://openalex.org/I70522481"],"apc_list":null,"apc_paid":null,"fwci":0.8665,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74261418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"51","issue":"02","first_page":"590","last_page":"597"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8235882520675659},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7011008858680725},{"id":"https://openalex.org/keywords/martingale","display_name":"Martingale (probability theory)","score":0.5674816370010376},{"id":"https://openalex.org/keywords/white","display_name":"White (mutation)","score":0.43954741954803467},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1748477816581726}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8235882520675659},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7011008858680725},{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.5674816370010376},{"id":"https://openalex.org/C56273599","wikidata":"https://www.wikidata.org/wiki/Q3122841","display_name":"White (mutation)","level":3,"score":0.43954741954803467},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1748477816581726},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s002190020001144x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s002190020001144x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CAF497099893238FE82CA14DDC334A2C/S002190020001144Xa.pdf/div-class-title-a-new-two-urn-model-div.pdf","source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s002190020001144x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s002190020001144x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CAF497099893238FE82CA14DDC334A2C/S002190020001144Xa.pdf/div-class-title-a-new-two-urn-model-div.pdf","source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4236303225.pdf","grobid_xml":"https://content.openalex.org/works/W4236303225.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1566766029","https://openalex.org/W1967023145","https://openalex.org/W1974315986","https://openalex.org/W1986193351","https://openalex.org/W1987794091","https://openalex.org/W1997333829","https://openalex.org/W2000225766","https://openalex.org/W2034082524","https://openalex.org/W2072677810","https://openalex.org/W4245944886"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0,46,168],"propose":[1],"a":[2,124],"two-urn":[3],"model":[4],"of":[5,150,161,174],"P\u00f3lya":[6],"type":[7],"as":[8],"follows.":[9],"There":[10],"are":[11,69,86,115,131],"two":[12],"urns,":[13],"urn":[14,17,23,35,52,72,89,98,118,134,154,165],"A":[15,24,27,31,53,73,135,155],"and":[16,29,34,41,54,61,74,77,100,107,120,123,143,156,177,184,194],"B":[18,36,39,43,90,99,119,166],".":[19,91,136,167],"At":[20],"the":[21,138,148,159,172,181,201],"beginning,":[22],"contains":[25,37],"r":[26,38],"red":[28,40,60,76,106,122,151,162],"w":[30,42],"white":[32,44,65,84,111,129],"balls":[33,50,68,85,96,114,130,152,163],"balls.":[45,66,112],"first":[47,169],"draw":[48,94],"m":[49,62,80],"from":[51,97],"note":[55,101],"their":[56,102],"colors,":[57,103],"say":[58,104],"i":[59,64,82],"-":[63,81,109,126],"The":[67,113],"returned":[70,116],"to":[71,88,117,133,189,200],"bi":[75],"b":[78],"(":[79],")":[83,128],"added":[87,132],"Next,":[92],"we":[93],"\u2113":[95,108],"j":[105,110,127],"aj":[121],"(\u2113":[125],"Repeat":[137],"above":[139],"action":[140],"n":[141,146,158,176,179,193,196],"times":[142],"let":[144],"X":[145,175,192],"be":[147],"fraction":[149,160],"in":[153,164],"Y":[157,178,195],"show":[170,190],"that":[171,191],"expectations":[173],"have":[180],"same":[182,202],"limit,":[183],"then":[185],"use":[186],"martingale":[187],"theory":[188],"converge":[197],"almost":[198],"surely":[199],"limit.":[203]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}