{"id":"https://openalex.org/W2903757780","doi":"https://doi.org/10.1080/03610918.2018.1473590","title":"On the computation of distributions of linear combinations of Laplace order statistics and their applications","display_name":"On the computation of distributions of linear combinations of Laplace order statistics and their applications","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2903757780","doi":"https://doi.org/10.1080/03610918.2018.1473590","mag":"2903757780"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2018.1473590","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1473590","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/A5060460901","display_name":"Chien\u2010Tai Lin","orcid":"https://orcid.org/0000-0001-7362-3602"},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chien-Tai Lin","raw_affiliation_strings":["Department of Mathematics, Tamkang University, New Taipei City, Taiwan;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tamkang University, New Taipei City, Taiwan;","institution_ids":["https://openalex.org/I107470533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108761532","display_name":"Bo\u2010Yi Lee","orcid":"https://orcid.org/0009-0006-7433-809X"},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Bo-Yi Lee","raw_affiliation_strings":["Department of Mathematics, Tamkang University, New Taipei City, Taiwan;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tamkang University, New Taipei City, Taiwan;","institution_ids":["https://openalex.org/I107470533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039956503","display_name":"N. Balakrishnan","orcid":"https://orcid.org/0000-0001-5842-8892"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"N. Balakrishnan","raw_affiliation_strings":["Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060460901"],"corresponding_institution_ids":["https://openalex.org/I107470533"],"apc_list":null,"apc_paid":null,"fwci":0.2436,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61063989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"10","first_page":"3031","last_page":"3055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998000264167786,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9868999719619751,"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/T11186","display_name":"Hydrology and Drought Analysis","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.6392109990119934},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5987187027931213},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5722132325172424},{"id":"https://openalex.org/keywords/laplace-distribution","display_name":"Laplace distribution","score":0.5542353391647339},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5457682609558105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5366361141204834},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5129034519195557},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.498931884765625},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.35716235637664795},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3242201805114746},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19211998581886292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14975076913833618},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08234483003616333},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07730346918106079}],"concepts":[{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.6392109990119934},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5987187027931213},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5722132325172424},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.5542353391647339},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5457682609558105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5366361141204834},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5129034519195557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.498931884765625},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.35716235637664795},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3242201805114746},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19211998581886292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14975076913833618},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08234483003616333},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07730346918106079},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/03610918.2018.1473590","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1473590","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"},{"id":"pmh:oai:tkuir.lib.tku.edu.tw:987654321/118820","is_oa":false,"landing_page_url":"https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/118820","pdf_url":null,"source":{"id":"https://openalex.org/S4406922698","display_name":"Tamkang University Institutional Repository (TKUIR)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Journal Article"},{"id":"pmh:oai:tkuir.lib.tku.edu.tw:987654321/113367","is_oa":false,"landing_page_url":"https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/113367","pdf_url":null,"source":{"id":"https://openalex.org/S4406922698","display_name":"Tamkang University Institutional Repository (TKUIR)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W159688496","https://openalex.org/W310386269","https://openalex.org/W595854823","https://openalex.org/W1987207007","https://openalex.org/W1987536918","https://openalex.org/W1991567646","https://openalex.org/W2000324252","https://openalex.org/W2014944622","https://openalex.org/W2047619226","https://openalex.org/W2063791923","https://openalex.org/W2068436583","https://openalex.org/W2087966728","https://openalex.org/W2110426715","https://openalex.org/W2149891153","https://openalex.org/W2160407365","https://openalex.org/W2170435007","https://openalex.org/W2292763212","https://openalex.org/W2296144776","https://openalex.org/W2316747391","https://openalex.org/W2318245334","https://openalex.org/W4230927207","https://openalex.org/W4242893239","https://openalex.org/W4298217738","https://openalex.org/W7133892489"],"related_works":["https://openalex.org/W2754417297","https://openalex.org/W2094164772","https://openalex.org/W2013281523","https://openalex.org/W1992254807","https://openalex.org/W2068546026","https://openalex.org/W2046036316","https://openalex.org/W3039003513","https://openalex.org/W1984505799","https://openalex.org/W2063870893","https://openalex.org/W2485229344"],"abstract_inverted_index":{"We":[0],"apply":[1],"the":[2,18,29,52],"result":[3],"of":[4,7,20,31,34],"conditional":[5],"independence":[6],"blocked":[8],"ordered":[9],"data":[10],"established":[11],"by":[12],"Iliopoulos":[13],"and":[14,22],"Balakrishnan,":[15],"together":[16],"with":[17,55],"algorithm":[19],"Huffer":[21],"Lin,":[23],"to":[24],"obtain":[25],"exact":[26],"expressions":[27,39],"for":[28],"distributions":[30],"linear":[32],"combinations":[33],"Laplace":[35],"order":[36],"statistics.":[37],"These":[38],"can":[40],"then":[41],"be":[42],"evaluated":[43],"using":[44],"symbolic":[45],"math":[46],"package":[47],"Maple.":[48],"Finally,":[49],"we":[50],"illustrate":[51],"computational":[53],"method":[54],"some":[56],"examples.":[57]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
