{"id":"https://openalex.org/W1966964989","doi":"https://doi.org/10.1137/s0036144502417843","title":"In the Garden of Branching Processes","display_name":"In the Garden of Branching Processes","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1966964989","doi":"https://doi.org/10.1137/s0036144502417843","mag":"1966964989"},"language":"en","primary_location":{"id":"doi:10.1137/s0036144502417843","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144502417843","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5078428763","display_name":"Karin S. Dorman","orcid":"https://orcid.org/0000-0003-3650-0018"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karin S. Dorman","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013824247","display_name":"Janet S. Sinsheimer","orcid":"https://orcid.org/0000-0001-9540-5956"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Janet S. Sinsheimer","raw_affiliation_strings":["University of California\u2013Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California\u2013Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070269135","display_name":"Kenneth Lange","orcid":"https://orcid.org/0000-0002-1313-5030"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth Lange","raw_affiliation_strings":["University of California\u2013Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California\u2013Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8143,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.64842159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"2","first_page":"202","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10112","display_name":"HIV Research and Treatment","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2406","display_name":"Virology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10112","display_name":"HIV Research and Treatment","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2406","display_name":"Virology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.991100013256073,"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/T10082","display_name":"HIV/AIDS Research and Interventions","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.7293114066123962},{"id":"https://openalex.org/keywords/branching-process","display_name":"Branching process","score":0.6258720755577087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5083422064781189},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.46754685044288635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4658207893371582},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4368308484554291},{"id":"https://openalex.org/keywords/immigration","display_name":"Immigration","score":0.42662250995635986},{"id":"https://openalex.org/keywords/human-immunodeficiency-virus","display_name":"Human immunodeficiency virus (HIV)","score":0.4154101312160492},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39724379777908325},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3864380121231079},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.35959187150001526},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.30220985412597656},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2389160692691803},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.21645614504814148},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.1369217336177826},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12669438123703003},{"id":"https://openalex.org/keywords/virology","display_name":"Virology","score":0.10205748677253723}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7293114066123962},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.6258720755577087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5083422064781189},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.46754685044288635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4658207893371582},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4368308484554291},{"id":"https://openalex.org/C70036468","wikidata":"https://www.wikidata.org/wiki/Q131288","display_name":"Immigration","level":2,"score":0.42662250995635986},{"id":"https://openalex.org/C3013748606","wikidata":"https://www.wikidata.org/wiki/Q15787","display_name":"Human immunodeficiency virus (HIV)","level":2,"score":0.4154101312160492},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39724379777908325},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3864380121231079},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.35959187150001526},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.30220985412597656},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2389160692691803},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.21645614504814148},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.1369217336177826},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12669438123703003},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.10205748677253723},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s0036144502417843","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144502417843","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:lib.dr.iastate.edu:stat_las_preprints-1052","is_oa":false,"landing_page_url":"https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1052&context=stat_las_preprints","pdf_url":null,"source":{"id":"https://openalex.org/S4377196104","display_name":"Iowa State University Digital Repository (Iowa State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173911158","host_organization_name":"Iowa State University","host_organization_lineage":["https://openalex.org/I173911158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistics Preprints","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.143.79","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.79","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stat.iastate.edu/preprint/articles/2002-22.pdf","raw_type":"text"},{"id":"pmh:oai:dr.lib.iastate.edu:20.500.12876/90341","is_oa":false,"landing_page_url":"https://dr.lib.iastate.edu/handle/20.500.12876/90341","pdf_url":null,"source":{"id":"https://openalex.org/S4377196104","display_name":"Iowa State University Digital Repository (Iowa State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173911158","host_organization_name":"Iowa State University","host_organization_lineage":["https://openalex.org/I173911158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"10.1137/S0036144502417843","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W54282056","https://openalex.org/W581902269","https://openalex.org/W650660097","https://openalex.org/W1488435683","https://openalex.org/W1534808934","https://openalex.org/W1559984321","https://openalex.org/W1939266867","https://openalex.org/W1965399019","https://openalex.org/W1977106683","https://openalex.org/W1977642252","https://openalex.org/W1980372482","https://openalex.org/W1981799174","https://openalex.org/W1985226626","https://openalex.org/W1996087276","https://openalex.org/W2015653996","https://openalex.org/W2025152688","https://openalex.org/W2029777156","https://openalex.org/W2030032873","https://openalex.org/W2030844138","https://openalex.org/W2036758357","https://openalex.org/W2041469490","https://openalex.org/W2044403736","https://openalex.org/W2051269276","https://openalex.org/W2060701294","https://openalex.org/W2064975723","https://openalex.org/W2073917725","https://openalex.org/W2091460327","https://openalex.org/W2126197944","https://openalex.org/W2311959879","https://openalex.org/W2314791685","https://openalex.org/W2317915972","https://openalex.org/W2321579322","https://openalex.org/W2327531471","https://openalex.org/W2432517183","https://openalex.org/W2568511220","https://openalex.org/W2751862591","https://openalex.org/W2797638056","https://openalex.org/W2981264952","https://openalex.org/W4239569008","https://openalex.org/W4301306519"],"related_works":["https://openalex.org/W2891252757","https://openalex.org/W2005441443","https://openalex.org/W2273917609","https://openalex.org/W136810046","https://openalex.org/W3123059865","https://openalex.org/W2587158935","https://openalex.org/W3126052823","https://openalex.org/W3124033816","https://openalex.org/W3212206169","https://openalex.org/W3121583841"],"abstract_inverted_index":{"The":[0,41,62],"current":[1],"paper":[2],"surveys":[3],"and":[4,28,52,59,64,89],"develops":[5],"numerical":[6],"methods":[7,63],"for":[8,46,78,92],"Markovian":[9],"multitype":[10],"branching":[11],"processes":[12,58],"in":[13,31,84,99],"continuous":[14],"time.":[15],"Particular":[16],"attention":[17],"is":[18],"paid":[19],"to":[20,69],"the":[21,32,93],"calculation":[22],"of":[23,34,38,50,55,87,95],"means,":[24],"variances,":[25],"extinction":[26],"probabilities,":[27],"marginal":[29],"distributions":[30],"presence":[33],"a":[35,76,85,90],"Poisson":[36,42,57],"stream":[37],"immigrant":[39],"particles.":[40],"process":[43],"assumption":[44],"allows":[45],"temporally":[47],"complex":[48],"patterns":[49],"immigration":[51],"facilitates":[53],"application":[54],"marked":[56],"Campbell's":[60],"formulas.":[61],"formulas":[65],"derived":[66],"are":[67],"applied":[68],"four":[70],"models:":[71],"two":[72],"population":[73],"genetics":[74],"models,":[75],"model":[77,91],"vaccination":[79],"against":[80],"an":[81],"infectious":[82],"disease":[83],"community":[86],"households,":[88],"growth":[94],"resistant":[96],"HIV":[97],"virus":[98],"patients":[100],"undergoing":[101],"drug":[102],"therapy.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}