{"id":"https://openalex.org/W4415883365","doi":"https://doi.org/10.1109/access.2025.3628760","title":"Product and Ratio of Two <i>\u03b1</i> - <i>\u03ba</i> - <i>\u03bc</i> Shadowed Random Variables and Its Application to Wireless Communication","display_name":"Product and Ratio of Two <i>\u03b1</i> - <i>\u03ba</i> - <i>\u03bc</i> Shadowed Random Variables and Its Application to Wireless Communication","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415883365","doi":"https://doi.org/10.1109/access.2025.3628760"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3628760","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3628760","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3628760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100763871","display_name":"Shashank Shekhar","orcid":"https://orcid.org/0000-0001-5216-7310"},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Shashank Shekhar","raw_affiliation_strings":["Department of Electronics and Communication Engineering, PSG iTech, Coimbatore, India","Department of Electronics and Communication Engineering, PSG iTech, Neelambur, Coimbatore, India"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, PSG iTech, Coimbatore, India","institution_ids":["https://openalex.org/I4210109528"]},{"raw_affiliation_string":"Department of Electronics and Communication Engineering, PSG iTech, Neelambur, Coimbatore, India","institution_ids":["https://openalex.org/I4210109528"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046290878","display_name":"Sheetal Kalyani","orcid":"https://orcid.org/0000-0002-1530-0140"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sheetal Kalyani","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India","Department of Electrical Engineering, Indian Institute of Technology, Madras, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100763871"],"corresponding_institution_ids":["https://openalex.org/I4210109528"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34456113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"190388","last_page":"190402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.5950000286102295,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.5950000286102295,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.3741999864578247,"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/T12079","display_name":"IoT Networks and Protocols","score":0.010599999688565731,"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/moment-generating-function","display_name":"Moment-generating function","score":0.7997000217437744},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.7620000243186951},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.741100013256073},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.6676999926567078},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5996999740600586},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5748999714851379},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5329999923706055},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5264000296592712},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5084999799728394},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.46399998664855957}],"concepts":[{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.7997000217437744},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.7620000243186951},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.741100013256073},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.6676999926567078},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5996999740600586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5774999856948853},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5748999714851379},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5329999923706055},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5264000296592712},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5084999799728394},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.46399998664855957},{"id":"https://openalex.org/C187825244","wikidata":"https://www.wikidata.org/wiki/Q372071","display_name":"Probability-generating function","level":4,"score":0.45210000872612},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.44110000133514404},{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C115098869","wikidata":"https://www.wikidata.org/wiki/Q3258347","display_name":"Nakagami distribution","level":4,"score":0.41839998960494995},{"id":"https://openalex.org/C2781007418","wikidata":"https://www.wikidata.org/wiki/Q1456934","display_name":"Capacity planning","level":2,"score":0.397599995136261},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C2778258436","wikidata":"https://www.wikidata.org/wiki/Q30672262","display_name":"Outage probability","level":4,"score":0.38609999418258667},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3528999984264374},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C86024645","wikidata":"https://www.wikidata.org/wiki/Q6795632","display_name":"Maximal-ratio combining","level":4,"score":0.33000001311302185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3228999972343445},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3228999972343445},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.3208000063896179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2957000136375427},{"id":"https://openalex.org/C13929819","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Random function","level":3,"score":0.29010000824928284},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C101765175","wikidata":"https://www.wikidata.org/wiki/Q577764","display_name":"Communications system","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C116544410","wikidata":"https://www.wikidata.org/wiki/Q1478122","display_name":"Shadow mapping","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26100000739097595},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25850000977516174},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2542000114917755},{"id":"https://openalex.org/C3020028006","wikidata":"https://www.wikidata.org/wiki/Q9158","display_name":"Electronic mail","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2025.3628760","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3628760","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fed6bcbce89440878e30529e76bbceba","is_oa":true,"landing_page_url":"https://doaj.org/article/fed6bcbce89440878e30529e76bbceba","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 190388-190402 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3628760","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3628760","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"studies":[2],"the":[3,24,28,43,60,65,100],"product":[4,44],"and":[5,10,37,45,83,92],"ratio":[6,46],"statistics":[7],"of":[8,42,47],"independent":[9],"non-identically":[11],"distributed":[12],"(i.n.i.d)":[13],"\u03b1":[14,49,118],"\u2212":[15,17,50,52,119,121],"\u03ba":[16,51,120],"\u03bc":[18,53,122],"shadowed":[19,54,106,123],"random":[20,55],"variables.":[21,56],"We":[22,57],"derive":[23],"series":[25],"expression":[26],"for":[27,64,79,99],"probability":[29,75,91],"density":[30],"function":[31,35,40],"(PDF),":[32],"cumulative":[33],"distribution":[34],"(CDF),":[36],"moment":[38],"generating":[39],"(MGF)":[41],"i.n.i.d":[48],"then":[58],"give":[59],"single":[61],"integral":[62],"representation":[63],"derived":[66,78,98],"PDF":[67],"expressions.":[68],"Further,":[69],"as":[70],"application":[71],"examples,":[72],"1)":[73],"outage":[74,90],"has":[76],"been":[77],"cascaded":[80],"wireless":[81],"systems,":[82],"2)":[84],"physical-layer":[85],"security":[86],"metrics":[87],"like":[88],"secrecy":[89,95],"strictly":[93],"positive":[94],"capacity":[96],"are":[97],"classic":[101],"three-node":[102],"model":[103],"with":[104],"\u03b1\u2212\u03ba\u2212\u03bc":[105],"fading.":[107,124],"Next,":[108],"we":[109],"discuss":[110],"an":[111],"intelligent":[112],"reflecting":[113],"surface-assisted":[114],"communication":[115],"system":[116],"over":[117]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-04T00:00:00"}
