{"id":"https://openalex.org/W2941640055","doi":"https://doi.org/10.1134/s000511791903010x","title":"Upper and Lower Bounds of Optimal Stopping for a Random Sequence: The Case of Finite Horizon","display_name":"Upper and Lower Bounds of Optimal Stopping for a Random Sequence: The Case of Finite Horizon","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2941640055","doi":"https://doi.org/10.1134/s000511791903010x","mag":"2941640055"},"language":"en","primary_location":{"id":"doi:10.1134/s000511791903010x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s000511791903010x","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/A5006544947","display_name":"V. M. Khametov","orcid":"https://orcid.org/0000-0003-4626-8371"},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]},{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. M. Khametov","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), Moscow, Russia","National Research University Higher School of Economics, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]},{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061138253","display_name":"E. A. Shelemekh","orcid":null},"institutions":[{"id":"https://openalex.org/I2802368776","display_name":"Central Economics and Mathematics Institute","ror":"https://ror.org/02n937p61","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2802368776","https://openalex.org/I4210120228"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. A. Shelemekh","raw_affiliation_strings":["Central Economics and Mathematics Institute, Russian Academy of Sciences, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Central Economics and Mathematics Institute, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I2802368776"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006544947","https://openalex.org/A5061138253"],"corresponding_institution_ids":["https://openalex.org/I118501908","https://openalex.org/I2802368776","https://openalex.org/I45571689"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0608612,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"3","first_page":"513","last_page":"530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11976","display_name":"Capital Investment and Risk Analysis","score":0.9639000296592712,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/optimal-stopping","display_name":"Optimal stopping","score":0.8770211338996887},{"id":"https://openalex.org/keywords/stopping-time","display_name":"Stopping time","score":0.8592451810836792},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.8410944938659668},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.8162530660629272},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7001481056213379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6967038512229919},{"id":"https://openalex.org/keywords/optional-stopping-theorem","display_name":"Optional stopping theorem","score":0.5922117829322815},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4499255418777466},{"id":"https://openalex.org/keywords/time-horizon","display_name":"Time horizon","score":0.42590251564979553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32284197211265564},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08692404627799988},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08048054575920105}],"concepts":[{"id":"https://openalex.org/C99414536","wikidata":"https://www.wikidata.org/wiki/Q7098950","display_name":"Optimal stopping","level":2,"score":0.8770211338996887},{"id":"https://openalex.org/C99888217","wikidata":"https://www.wikidata.org/wiki/Q1288707","display_name":"Stopping time","level":2,"score":0.8592451810836792},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.8410944938659668},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.8162530660629272},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7001481056213379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6967038512229919},{"id":"https://openalex.org/C52832964","wikidata":"https://www.wikidata.org/wiki/Q2027347","display_name":"Optional stopping theorem","level":3,"score":0.5922117829322815},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4499255418777466},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.42590251564979553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32284197211265564},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08692404627799988},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08048054575920105},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s000511791903010x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s000511791903010x","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W596656290","https://openalex.org/W1561812863","https://openalex.org/W2041139428","https://openalex.org/W2288542183","https://openalex.org/W2428491300","https://openalex.org/W2797328151","https://openalex.org/W3121220925","https://openalex.org/W3123481019","https://openalex.org/W3125014217","https://openalex.org/W4229984434","https://openalex.org/W4239835841","https://openalex.org/W4254327135"],"related_works":["https://openalex.org/W4316830005","https://openalex.org/W3097642646","https://openalex.org/W2002489931","https://openalex.org/W2061115893","https://openalex.org/W2161463710","https://openalex.org/W2282111838","https://openalex.org/W1966640694","https://openalex.org/W1511853515","https://openalex.org/W2067511385","https://openalex.org/W2011704737"],"abstract_inverted_index":{"This":[0],"paper":[1],"derives":[2],"upper":[3,63],"and":[4,40,84,101],"lower":[5],"bounds":[6,32],"of":[7,24,43,67,86,98,104],"the":[8,11,22,31,38,62,78,82,87,99],"price":[9],"in":[10,21],"optimal":[12,44,68,88,105],"stopping":[13,45,69,79,89,106],"problem":[14],"for":[15,61,77],"a":[16,56],"an":[17,72],"adapted":[18],"random":[19],"sequence":[20,66],"case":[23],"finite":[25],"horizon.":[26],"As":[27],"is":[28,59,75],"demonstrated":[29],"below,":[30],"can":[33],"be":[34],"found":[35],"by":[36],"solving":[37],"maximax":[39,100],"maximin":[41,102],"setups":[42,103],"problems.":[46],"For":[47],"these":[48],"setups,":[49],"we":[50],"obtain":[51],"conditions":[52],"under":[53],"which":[54],"1)":[55],"recurrent":[57],"relation":[58],"satisfied":[60],"(lower)":[64],"truncated":[65],"prices;":[70],"2)":[71],"optimality":[73],"criterion":[74],"constructed":[76],"times;":[80],"3)":[81],"structure":[83],"invariance":[85],"times":[90],"are":[91,108],"established.":[92],"Some":[93],"examples":[94],"with":[95],"explicit":[96],"solutions":[97],"problems":[107],"given.":[109]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
