{"id":"https://openalex.org/W166227022","doi":null,"title":"A Study of the tenability of Polya urn schemes","display_name":"A Study of the tenability of Polya urn schemes","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W166227022","mag":"166227022"},"language":"en","primary_location":{"id":"pmh:oai:docs.lib.purdue.edu:dissertations-14921","doi":null,"is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/dissertations/AAI3635994","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations Available from ProQuest","raw_type":"text"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062239973","display_name":"Allison Davidson","orcid":"https://orcid.org/0000-0001-7393-7484","observed_orcids":["https://orcid.org/0000-0001-7393-7484"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Allison Davidson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7393-7484","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5062239973"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.6420999765396118,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13500","display_name":"Probability and Statistical Research","score":0.6420999765396118,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.21369999647140503,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.08190000057220459,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tenability","display_name":"tenability","score":0.8690000176429749},{"id":"https://openalex.org/keywords/principal-eigenvalue","display_name":"principal eigenvalue","score":0.7279999852180481},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"asymptotic distribution","score":0.9580000042915344},{"id":"https://openalex.org/keywords/urn-models","display_name":"urn models","score":0.44200000166893005},{"id":"https://openalex.org/keywords/tree-structure","display_name":"tree structure","score":0.6230000257492065},{"id":"https://openalex.org/keywords/graphical-notation","display_name":"graphical notation","score":0.7369999885559082}],"concepts":[{"id":"https://openalex.org/C97399411","wikidata":"https://www.wikidata.org/wiki/Q825367","display_name":"Coin flipping","level":2,"score":0.33801013231277466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29128968715667725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1662175953388214}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:docs.lib.purdue.edu:dissertations-14921","doi":null,"is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/dissertations/AAI3635994","pdf_url":null,"source":{"id":"https://openalex.org/S4377196310","display_name":"Purdue e-Pubs (Purdue University System)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801333002","host_organization_name":"Purdue University System","host_organization_lineage":["https://openalex.org/I2801333002"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations Available from ProQuest","raw_type":"text"},{"id":"mag:166227022","doi":null,"is_oa":false,"landing_page_url":"https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=14921&context=dissertations","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2773179098","https://openalex.org/W2034917569","https://openalex.org/W2405888242","https://openalex.org/W3120336275","https://openalex.org/W2567327503","https://openalex.org/W2088195732","https://openalex.org/W2782783480","https://openalex.org/W2086934491","https://openalex.org/W3206641468","https://openalex.org/W2498571702"],"abstract_inverted_index":{"P\u00f3lya":[0],"urn":[1,23,56,67,92,99,117,172],"schemes":[2,93,118],"are":[3,38,119,139,159],"statistical":[4],"models":[5],"that":[6,40],"use":[7],"colored":[8],"balls":[9],"to":[10,60,85,94,108],"represent":[11],"a":[12,35,97,164],"growth":[13],"or":[14],"decay":[15],"process.":[16,79],"A":[17],"ball":[18],"is":[19,58,69,81,101,106],"drawn":[20],"from":[21],"the":[22,29,43,46,55,75,78,87,110,127,133,152,156,168],"at":[24],"random,":[25],"and":[26,103,145],"depending":[27],"on":[28,126],"color":[30],"drawn,":[31],"certain":[32],"rules":[33,50],"of":[34,45,65,70,77,83,90,115,135,155,171],"replacement":[36,128,157],"matrix":[37,129,158],"followed":[39],"may":[41],"change":[42],"composition":[44,173],"urn.":[47],"If":[48],"these":[49],"can":[51],"always":[52],"be":[53,61],"applied,":[54],"scheme":[57,68,100],"said":[59],"tenable.":[62],"The":[63],"tenability":[64],"an":[66],"importance":[71],"as":[72,130,132,151,161],"it":[73,105],"represents":[74],"sustainability":[76],"It":[80],"therefore":[82],"interest":[84],"analyze":[86],"specific":[88,111],"characteristics":[89],"tenable":[91,116],"determine":[95],"if":[96,104],"particular":[98],"tenable,":[102],"untenable,":[107],"uncover":[109],"reasons":[112],"why.":[113],"Characteristics":[114,138],"defined":[120],"mathematically":[121],"through":[122],"linear":[123],"algebraic":[124],"restrictions":[125],"well":[131],"vector":[134],"initial":[136],"conditions.":[137],"also":[140],"explored":[141],"using":[142],"graphical":[143],"notation":[144],"tree":[146],"structures.":[147],"Additionally,":[148],"properties":[149],"such":[150],"principal":[153],"eigenvalues":[154,162],"analyzed":[160],"play":[163],"key":[165],"role":[166],"in":[167],"limiting":[169],"distribution":[170],"over":[174],"time.":[175]},"counts_by_year":[],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2016-06-24T00:00:00"}