{"id":"https://openalex.org/W207171818","doi":null,"title":"A Stochastic Analog to the Richardson's Arms Race Model","display_name":"A Stochastic Analog to the Richardson's Arms Race Model","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W207171818","mag":"207171818"},"language":"en","primary_location":{"id":"pmh:oai:digitalcommons.wku.edu:theses-1755","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.wku.edu/theses/752","pdf_url":null,"source":{"id":"https://openalex.org/S4377196460","display_name":"TopSCHOLAR (Western Kentucky University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I94339441","host_organization_name":"Western Kentucky University","host_organization_lineage":["https://openalex.org/I94339441"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Masters Theses & Specialist Projects","raw_type":"text"},"volume":null,"type":"dissertation","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/A5009337258","display_name":"John Fricks","orcid":"https://orcid.org/0000-0002-9874-7107","observed_orcids":["https://orcid.org/0000-0002-9874-7107"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"John Fricks","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9874-7107","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5009337258"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.8848000168800354,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.8848000168800354,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.02669999934732914,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.013799999840557575,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/arms-race-model","display_name":"arms race model","score":0.8050000071525574},{"id":"https://openalex.org/keywords/richardson-model","display_name":"Richardson model","score":0.6639999747276306},{"id":"https://openalex.org/keywords/stochastic-differential-equations","display_name":"stochastic differential equations","score":0.703000009059906},{"id":"https://openalex.org/keywords/birth-death-processes","display_name":"birth-death processes","score":0.9760000109672546},{"id":"https://openalex.org/keywords/randomization-methods","display_name":"randomization methods","score":0.6959999799728394},{"id":"https://openalex.org/keywords/deterministic-vs-stochastic-comparison","display_name":"deterministic vs stochastic comparison","score":0.6520000100135803},{"id":"https://openalex.org/keywords/expected-value","display_name":"expected value","score":0.6100000143051147},{"id":"https://openalex.org/keywords/arms-race-dynamics","display_name":"arms race dynamics","score":0.4740000069141388}],"concepts":[{"id":"https://openalex.org/C76509639","wikidata":"https://www.wikidata.org/wiki/Q918036","display_name":"Race (biology)","level":2,"score":0.6116078495979309},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.38598135113716125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38433948159217834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36546754837036133},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.19458383321762085},{"id":"https://openalex.org/C107993555","wikidata":"https://www.wikidata.org/wiki/Q1662673","display_name":"Gender studies","level":1,"score":0.16495570540428162}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:digitalcommons.wku.edu:theses-1755","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.wku.edu/theses/752","pdf_url":null,"source":{"id":"https://openalex.org/S4377196460","display_name":"TopSCHOLAR (Western Kentucky University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I94339441","host_organization_name":"Western Kentucky University","host_organization_lineage":["https://openalex.org/I94339441"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Masters Theses & Specialist Projects","raw_type":"text"},{"id":"mag:207171818","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.wku.edu/theses/752/","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2037244195","https://openalex.org/W2110263911","https://openalex.org/W2944255471","https://openalex.org/W2031186274","https://openalex.org/W2884218568","https://openalex.org/W4313362892","https://openalex.org/W4200004448","https://openalex.org/W124871289","https://openalex.org/W2554920396","https://openalex.org/W2368640104"],"abstract_inverted_index":{"In":[0],"this":[1],"thesis,":[2],"a":[3],"stochastic":[4,52,65],"version":[5],"of":[6,17,23,43,61],"the":[7,15,24,34,51,62],"Richardson's":[8],"arms":[9,37],"race":[10,38],"model":[11,25],"is":[12,26,45,56],"developed":[13],"through":[14],"method":[16,42],"birth-death":[18],"processes.":[19],"The":[20,40],"expected":[21],"value":[22],"explored":[27],"and":[28,48,64],"shown":[29],"to":[30,33,50],"be":[31],"analogous":[32],"original":[35],"deterministic":[36,63],"model.":[39,53],"numerical":[41],"randomization":[44],"then":[46,57],"expanded":[47],"applied":[49],"A":[54],"comparison":[55],"made":[58],"between":[59],"outcomes":[60],"models.":[66]},"counts_by_year":[],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2016-06-24T00:00:00"}