{"id":"https://openalex.org/W2400155463","doi":"https://doi.org/10.1080/03610918.2016.1188207","title":"A stochastic representation for the <i>l</i><sub><i>p</i></sub>-norm symmetric distribution and its applications","display_name":"A stochastic representation for the <i>l</i><sub><i>p</i></sub>-norm symmetric distribution and its applications","publication_year":2016,"publication_date":"2016-05-28","ids":{"openalex":"https://openalex.org/W2400155463","doi":"https://doi.org/10.1080/03610918.2016.1188207","mag":"2400155463"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2016.1188207","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2016.1188207","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5110683819","display_name":"Jiajuan Liang","orcid":"https://orcid.org/0000-0003-2993-7692"},"institutions":[{"id":"https://openalex.org/I40253897","display_name":"University of New Haven","ror":"https://ror.org/00zm4rq24","country_code":"US","type":"education","lineage":["https://openalex.org/I40253897"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jiajuan Liang","raw_affiliation_strings":["University of New Haven, College of Business, West Haven, CT, USA"],"affiliations":[{"raw_affiliation_string":"University of New Haven, College of Business, West Haven, CT, USA","institution_ids":["https://openalex.org/I40253897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103625899","display_name":"Kai Wang Ng","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Kai Wang Ng","raw_affiliation_strings":["Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084143431","display_name":"Guo\u2010Liang Tian","orcid":"https://orcid.org/0000-0003-3749-6188"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guoliang Tian","raw_affiliation_strings":["Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110683819"],"corresponding_institution_ids":["https://openalex.org/I40253897"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03835809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":"8","first_page":"6011","last_page":"6018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9898999929428101,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7248232960700989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6580671668052673},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6365582942962646},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6360917687416077},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5718501806259155},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4864620864391327},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4163951873779297},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4119480848312378},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4004097878932953},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36653614044189453},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3466365337371826},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33081501722335815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2730226516723633},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20304793119430542}],"concepts":[{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7248232960700989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6580671668052673},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6365582942962646},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6360917687416077},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5718501806259155},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4864620864391327},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4163951873779297},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4119480848312378},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4004097878932953},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36653614044189453},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3466365337371826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33081501722335815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2730226516723633},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20304793119430542},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2016.1188207","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2016.1188207","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/W568214519","https://openalex.org/W1571258695","https://openalex.org/W1995565517","https://openalex.org/W2003657827","https://openalex.org/W2041227709","https://openalex.org/W2051591158","https://openalex.org/W2083943181","https://openalex.org/W2092431561","https://openalex.org/W2094838505","https://openalex.org/W2331011396","https://openalex.org/W2797456660","https://openalex.org/W3023160699"],"related_works":["https://openalex.org/W2347733609","https://openalex.org/W2066502241","https://openalex.org/W2605475288","https://openalex.org/W2292976891","https://openalex.org/W4245457074","https://openalex.org/W2128683635","https://openalex.org/W4240383795","https://openalex.org/W2008809748","https://openalex.org/W2140857733","https://openalex.org/W2951620698"],"abstract_inverted_index":{"The":[0,48],"family":[1,19],"of":[2,20],"lp-norm":[3,39],"symmetric":[4,22,40],"distributions":[5,23],"was":[6],"proposed":[7],"by":[8,25],"Yue":[9],"and":[10,12,55,76],"Ma":[11],"is":[13,51,64],"a":[14,34],"natural":[15],"generalization":[16],"to":[17,73],"the":[18,38,67],"l1-norm":[21],"studied":[24],"Fang":[26],"et":[27],"al.":[28],"In":[29],"this":[30],"article,":[31],"we":[32],"propose":[33],"stochastic":[35,49,68],"representation":[36,50,69],"for":[37,42],"distribution":[41],"any":[43],"constant":[44],"p":[45],">":[46],"0.":[47],"expressed":[52],"through":[53],"independent":[54],"identically":[56],"distributed":[57],"uniform":[58,77],"U(0,":[59],"1)":[60],"random":[61],"variables.":[62],"It":[63],"illustrated":[65],"that":[66],"can":[70],"be":[71],"applied":[72],"statistical":[74],"simulation":[75],"experimental":[78],"design.":[79]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}