{"id":"https://openalex.org/W2085404218","doi":"https://doi.org/10.1109/tvt.2011.2178441","title":"Novel Approximations to the Statistics of Products of Independent Random Variables and Their Applications in Wireless Communications","display_name":"Novel Approximations to the Statistics of Products of Independent Random Variables and Their Applications in Wireless Communications","publication_year":2011,"publication_date":"2011-12-07","ids":{"openalex":"https://openalex.org/W2085404218","doi":"https://doi.org/10.1109/tvt.2011.2178441","mag":"2085404218"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2011.2178441","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2011.2178441","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","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/A5102013387","display_name":"Yunfei Chen","orcid":"https://orcid.org/0000-0001-8083-1805"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["CN","GB"],"is_corresponding":false,"raw_author_name":"Yunfei Chen","raw_affiliation_strings":["School of Computer and Information, Hohai University, HHU, Nanjing, China","School of Engineering, University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information, Hohai University, HHU, Nanjing, China","institution_ids":["https://openalex.org/I163340411"]},{"raw_affiliation_string":"School of Engineering, University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061744244","display_name":"George K. Karagiannidis","orcid":"https://orcid.org/0000-0001-8810-0345"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"George K. Karagiannidis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084328106","display_name":"Hao L\u00fc","orcid":"https://orcid.org/0000-0001-5586-447X"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Lu","raw_affiliation_strings":["Hohai University, HHU, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hohai University, HHU, Nanjing, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031865097","display_name":"Ning Cao","orcid":"https://orcid.org/0000-0003-2690-7105"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Cao","raw_affiliation_strings":["Hohai University, HHU, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hohai University, HHU, Nanjing, China","institution_ids":["https://openalex.org/I163340411"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7928,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.9529881,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"61","issue":"2","first_page":"443","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.6559180021286011},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.6417776346206665},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5992439985275269},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.5967262387275696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5187245011329651},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5113024711608887},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.42286932468414307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40932270884513855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4040033221244812},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24405375123023987},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17211544513702393},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.0933704674243927}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.6559180021286011},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.6417776346206665},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5992439985275269},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.5967262387275696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5187245011329651},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5113024711608887},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.42286932468414307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40932270884513855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4040033221244812},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24405375123023987},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17211544513702393},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0933704674243927},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2011.2178441","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2011.2178441","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","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":28,"referenced_works":["https://openalex.org/W604181985","https://openalex.org/W1522045078","https://openalex.org/W1986596169","https://openalex.org/W1990869320","https://openalex.org/W1993212407","https://openalex.org/W2001136050","https://openalex.org/W2021547250","https://openalex.org/W2024665095","https://openalex.org/W2032323654","https://openalex.org/W2037564587","https://openalex.org/W2054178666","https://openalex.org/W2061636022","https://openalex.org/W2096895376","https://openalex.org/W2097398761","https://openalex.org/W2104601085","https://openalex.org/W2104798414","https://openalex.org/W2112927832","https://openalex.org/W2114885516","https://openalex.org/W2133288188","https://openalex.org/W2137144689","https://openalex.org/W2141637993","https://openalex.org/W2166237723","https://openalex.org/W2171651710","https://openalex.org/W2493309683","https://openalex.org/W3008609509","https://openalex.org/W4240714213","https://openalex.org/W4242892007","https://openalex.org/W4247973232"],"related_works":["https://openalex.org/W2327053383","https://openalex.org/W2356834760","https://openalex.org/W1964600846","https://openalex.org/W2027568561","https://openalex.org/W1865172210","https://openalex.org/W2127563499","https://openalex.org/W1503152075","https://openalex.org/W2030191005","https://openalex.org/W2790025453","https://openalex.org/W1521521035"],"abstract_inverted_index":{"A":[0],"novel":[1],"analytical":[2,77],"framework":[3],"for":[4],"evaluating":[5],"the":[6,9,29,55,58,75,92,102,106,117,124,131,135],"statistics":[7],"of":[8,11,40,57,70,95,105,126],"product":[10],"independent":[12],"random":[13],"variables":[14],"is":[15,64],"proposed.":[16],"Compared":[17],"with":[18],"other":[19],"methods,":[20],"which":[21,50],"use":[22],"either":[23],"infinite":[24],"series":[25],"or":[26],"special":[27],"functions,":[28,42],"new":[30,59],"method":[31],"provides":[32],"simple":[33],"and":[34,46,134],"efficient":[35],"closed-form":[36],"approximations,":[37,60],"in":[38,67,83,89],"terms":[39],"elementary":[41],"such":[43],"as":[44,99,101,130],"powers":[45],"exponentials.":[47],"Numerical":[48,113],"results,":[49],"are":[51],"used":[52,82],"to":[53,87],"check":[54],"accuracy":[56],"show":[61,115],"that":[62,116],"it":[63],"quite":[65],"accurate":[66],"most":[68],"regions":[69],"interest.":[71],"As":[72],"an":[73],"application,":[74],"proposed":[76],"results":[78],"can":[79],"be":[80],"efficiently":[81],"wireless":[84],"communications":[85],"theory":[86],"evaluate":[88],"closed":[90],"form":[91],"outage":[93,132],"probability":[94,133],"cascaded":[96],"fading":[97],"channels,":[98],"well":[100],"rate":[103,136],"offset":[104],"hybrid":[107],"automatic":[108],"repeat":[109],"request":[110],"(H-ARQ)":[111],"transmission.":[112],"examples":[114],"derived":[118],"expressions":[119],"provide":[120],"significant":[121],"insights":[122],"on":[123],"behaviors":[125],"important":[127],"system":[128],"parameters":[129],"offset.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
