{"id":"https://openalex.org/W103626436","doi":"https://doi.org/10.1007/978-3-642-02282-1_11","title":"A Note on the Conditional Expectation of IF-Observables","display_name":"A Note on the Conditional Expectation of IF-Observables","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W103626436","doi":"https://doi.org/10.1007/978-3-642-02282-1_11","mag":"103626436"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02282-1_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02282-1_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5108563473","display_name":"Veronika Valen\u010d\u00e1kov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I59655833","display_name":"Matej Bel University","ror":"https://ror.org/016e5hy63","country_code":"SK","type":"education","lineage":["https://openalex.org/I59655833"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Veronika Valen\u010d\u00e1kov\u00e1","raw_affiliation_strings":["Matej Bel University, Bansk\u00e1 Bystrica, Slovakia","Matej Bel University, Bansk\u00e1 Bystrica, Slovakia SK-974 01#TAB#"],"affiliations":[{"raw_affiliation_string":"Matej Bel University, Bansk\u00e1 Bystrica, Slovakia","institution_ids":["https://openalex.org/I59655833"]},{"raw_affiliation_string":"Matej Bel University, Bansk\u00e1 Bystrica, Slovakia SK-974 01#TAB#","institution_ids":["https://openalex.org/I59655833"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108563473"],"corresponding_institution_ids":["https://openalex.org/I59655833"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.03470032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"85","last_page":"92"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9988999962806702,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6466881632804871},{"id":"https://openalex.org/keywords/martingale","display_name":"Martingale (probability theory)","score":0.6315345764160156},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"Conditional probability","score":0.5955153107643127},{"id":"https://openalex.org/keywords/conditional-expectation","display_name":"Conditional expectation","score":0.5888733863830566},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5701908469200134},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5030948519706726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4876216948032379},{"id":"https://openalex.org/keywords/probability-theory","display_name":"Probability theory","score":0.45789557695388794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4444359540939331},{"id":"https://openalex.org/keywords/regular-conditional-probability","display_name":"Regular conditional probability","score":0.43676844239234924},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42221567034721375},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.421560674905777},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.383945107460022},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.3743554949760437},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34693336486816406},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.26139429211616516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.242182195186615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21565932035446167},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18125560879707336},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.1322762668132782},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08530029654502869},{"id":"https://openalex.org/keywords/probability-mass-function","display_name":"Probability mass function","score":0.07907935976982117}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6466881632804871},{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.6315345764160156},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.5955153107643127},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.5888733863830566},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5701908469200134},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5030948519706726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4876216948032379},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.45789557695388794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4444359540939331},{"id":"https://openalex.org/C103982235","wikidata":"https://www.wikidata.org/wiki/Q7309594","display_name":"Regular conditional probability","level":4,"score":0.43676844239234924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42221567034721375},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.421560674905777},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.383945107460022},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.3743554949760437},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34693336486816406},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.26139429211616516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.242182195186615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21565932035446167},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18125560879707336},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.1322762668132782},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08530029654502869},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.07907935976982117},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-02282-1_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02282-1_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W106223561","https://openalex.org/W153783021","https://openalex.org/W611697073","https://openalex.org/W635510250","https://openalex.org/W956027014","https://openalex.org/W1528458083","https://openalex.org/W1555314278","https://openalex.org/W1771584566","https://openalex.org/W2072781955","https://openalex.org/W2319053896","https://openalex.org/W2331906285","https://openalex.org/W4292295629"],"related_works":["https://openalex.org/W2592465853","https://openalex.org/W4233361406","https://openalex.org/W4250630220","https://openalex.org/W1523756637","https://openalex.org/W4210738546","https://openalex.org/W4384376816","https://openalex.org/W2900754349","https://openalex.org/W2285782125","https://openalex.org/W2004039065","https://openalex.org/W2090735589"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}
