{"id":"https://openalex.org/W3025404410","doi":"https://doi.org/10.1109/lcomm.2020.3019436","title":"Nearest Neighbor and Contact Distance Distribution for Binomial Point Process on Spherical Surfaces","display_name":"Nearest Neighbor and Contact Distance Distribution for Binomial Point Process on Spherical Surfaces","publication_year":2020,"publication_date":"2020-08-25","ids":{"openalex":"https://openalex.org/W3025404410","doi":"https://doi.org/10.1109/lcomm.2020.3019436","mag":"3025404410"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2020.3019436","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3019436","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.07330","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054089154","display_name":"Anna Talgat","orcid":"https://orcid.org/0000-0001-5535-1244"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Anna Talgat","raw_affiliation_strings":["CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","CEMSE Division King Abdullah University of Science and Technology (KAUST) Thuwal Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"CEMSE Division King Abdullah University of Science and Technology (KAUST) Thuwal Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063278343","display_name":"Mustafa A. Kishk","orcid":null},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mustafa A. Kishk","raw_affiliation_strings":["CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","CEMSE Division King Abdullah University of Science and Technology (KAUST) Thuwal Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"CEMSE Division King Abdullah University of Science and Technology (KAUST) Thuwal Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083193286","display_name":"Mohamed\u2010Slim Alouini","orcid":"https://orcid.org/0000-0003-4827-1793"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohamed-Slim Alouini","raw_affiliation_strings":["CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY"],"affiliations":[{"raw_affiliation_string":"CEMSE Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054089154"],"corresponding_institution_ids":["https://openalex.org/I71920554"],"apc_list":null,"apc_paid":null,"fwci":0.82818555,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69630086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"12","first_page":"2659","last_page":"2663"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/k-nearest-neighbors-algorithm","display_name":"k-nearest neighbors algorithm","score":0.6472240090370178},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.6368517279624939},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.625796377658844},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6061729192733765},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5390337109565735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5289623141288757},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.5186071395874023},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.46911293268203735},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4616391360759735},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.44030120968818665},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39274275302886963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28230804204940796},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16694939136505127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09523466229438782},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07618847489356995}],"concepts":[{"id":"https://openalex.org/C113238511","wikidata":"https://www.wikidata.org/wiki/Q1071612","display_name":"k-nearest neighbors algorithm","level":2,"score":0.6472240090370178},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.6368517279624939},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.625796377658844},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6061729192733765},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5390337109565735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5289623141288757},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.5186071395874023},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.46911293268203735},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4616391360759735},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.44030120968818665},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39274275302886963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28230804204940796},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16694939136505127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09523466229438782},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07618847489356995},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/lcomm.2020.3019436","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3019436","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:mural.maynoothuniversity.ie:16979","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196372","display_name":"MURAL - Maynooth University Research Archive Library (National University of Ireland, Maynooth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157286207","host_organization_name":"National University of Ireland, Maynooth","host_organization_lineage":["https://openalex.org/I157286207"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:arXiv.org:2005.07330","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.07330","pdf_url":"https://arxiv.org/pdf/2005.07330","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3025404410","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2005.07330.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:repository.kaust.edu.sa:10754/663622","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/663622","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.2005.07330","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.07330","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.07330","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.07330","pdf_url":"https://arxiv.org/pdf/2005.07330","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W631335369","https://openalex.org/W2102413189","https://openalex.org/W2342907297","https://openalex.org/W2743363440","https://openalex.org/W2753271796","https://openalex.org/W2900729845","https://openalex.org/W2940954889","https://openalex.org/W2962879208","https://openalex.org/W2963804235","https://openalex.org/W2994992002","https://openalex.org/W3002159761","https://openalex.org/W3007193003","https://openalex.org/W3022612213","https://openalex.org/W3023458242","https://openalex.org/W3089706104","https://openalex.org/W3102535235"],"related_works":["https://openalex.org/W2952158255","https://openalex.org/W2012423350","https://openalex.org/W3104197208","https://openalex.org/W2143971243","https://openalex.org/W2164745748","https://openalex.org/W2033605662","https://openalex.org/W2419891847","https://openalex.org/W2008223548","https://openalex.org/W2137706418","https://openalex.org/W3043179002","https://openalex.org/W2165754120","https://openalex.org/W1988728026","https://openalex.org/W3100565660","https://openalex.org/W3002938546","https://openalex.org/W1967420360","https://openalex.org/W2090532342","https://openalex.org/W2034361541","https://openalex.org/W1997218044","https://openalex.org/W2017741908","https://openalex.org/W2314642798"],"abstract_inverted_index":{"This":[0],"letter":[1],"characterizes":[2],"the":[3,6,10,55,61,64,74,82],"statistics":[4],"of":[5,28,60,81],"contact":[7],"distance":[8,14,62],"and":[9,40,85],"nearest":[11,65],"neighbor":[12],"(NN)":[13],"for":[15],"binomial":[16],"point":[17,66,76,83],"processes":[18],"(BPP)":[19],"spatially-distributed":[20],"on":[21,47,87],"spherical":[22],"surfaces.":[23],"We":[24],"consider":[25],"a":[26,37,79,88,92],"setup":[27],"$n$":[29],"concentric":[30,89],"spheres,":[31],"with":[32,91],"each":[33],"sphere":[34,90],"$S_k$":[35],"has":[36],"radius":[38,93],"$r_k$":[39],"$N_k$":[41],"points":[42],"that":[43,51],"are":[44],"uniformly":[45],"distributed":[46],"its":[48],"surface.":[49],"For":[50],"setup,":[52],"we":[53],"obtain":[54],"cumulative":[56],"distribution":[57],"function":[58],"(CDF)":[59],"to":[63],"from":[67],"two":[68],"types":[69],"o":[70],"observation":[71,75],"points:":[72],"(i)":[73],"is":[77],"not":[78],"part":[80],"process":[84],"located":[86],"$r_e":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}