{"id":"https://openalex.org/W4392600796","doi":"https://doi.org/10.3390/sym16030331","title":"The Simultaneous Confidence Interval for the Ratios of the Coefficients of Variation of Multiple Inverse Gaussian Distributions and Its Application to PM2.5 Data","display_name":"The Simultaneous Confidence Interval for the Ratios of the Coefficients of Variation of Multiple Inverse Gaussian Distributions and Its Application to PM2.5 Data","publication_year":2024,"publication_date":"2024-03-08","ids":{"openalex":"https://openalex.org/W4392600796","doi":"https://doi.org/10.3390/sym16030331"},"language":"en","primary_location":{"id":"doi:10.3390/sym16030331","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym16030331","pdf_url":"https://www.mdpi.com/2073-8994/16/3/331/pdf?version=1709912673","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/3/331/pdf?version=1709912673","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041583587","display_name":"Wasana Chankham","orcid":"https://orcid.org/0000-0001-7014-4067"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Wasana Chankham","raw_affiliation_strings":["Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","Department of Applied Statistics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030283463","display_name":"Sa\u2010Aat Niwitpong","orcid":"https://orcid.org/0000-0001-8269-3397"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Sa-Aat Niwitpong","raw_affiliation_strings":["Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","Department of Applied Statistics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"],"raw_orcid":"https://orcid.org/0000-0001-8269-3397","affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sa-Aat Niwitpong","orcid":"https://orcid.org/0000-0001-8269-3397"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Sa-Aat Niwitpong","raw_affiliation_strings":["Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","Department of Applied Statistics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"],"raw_orcid":"https://orcid.org/0000-0001-8269-3397","affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Suparat Niwitpong","orcid":"https://orcid.org/0000-0003-3059-1131"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Suparat Niwitpong","raw_affiliation_strings":["Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-3059-1131","affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]},{"author_position":"last","author":{"id":null,"display_name":"Suparat Niwitpong","orcid":"https://orcid.org/0000-0003-3059-1131"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Suparat Niwitpong","raw_affiliation_strings":["Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-3059-1131","affiliations":[{"raw_affiliation_string":"Department of Applied Statistics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5030283463"],"corresponding_institution_ids":["https://openalex.org/I82828225"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.8902,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71908711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"16","issue":"3","first_page":"331","last_page":"331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10190","display_name":"Air Quality and Health Impacts","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2307","display_name":"Health, Toxicology and Mutagenesis"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10190","display_name":"Air Quality and Health Impacts","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2307","display_name":"Health, Toxicology and Mutagenesis"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12120","display_name":"Air Quality Monitoring and Forecasting","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12095","display_name":"Vehicle emissions and performance","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/confidence-interval","display_name":"Confidence interval","score":0.7162963151931763},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6864461898803711},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6306513547897339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.615556001663208},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5896831154823303},{"id":"https://openalex.org/keywords/inverse-gaussian-distribution","display_name":"Inverse Gaussian distribution","score":0.5776868462562561},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5730084180831909},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.532518208026886},{"id":"https://openalex.org/keywords/credible-interval","display_name":"Credible interval","score":0.4905166029930115},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4380803108215332},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4135872423648834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3865607976913452},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.3709258735179901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34059077501296997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14383018016815186},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10972902178764343}],"concepts":[{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.7162963151931763},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6864461898803711},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6306513547897339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.615556001663208},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5896831154823303},{"id":"https://openalex.org/C132878287","wikidata":"https://www.wikidata.org/wiki/Q1671727","display_name":"Inverse Gaussian distribution","level":3,"score":0.5776868462562561},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5730084180831909},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.532518208026886},{"id":"https://openalex.org/C121117317","wikidata":"https://www.wikidata.org/wiki/Q4439221","display_name":"Credible interval","level":3,"score":0.4905166029930115},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4380803108215332},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4135872423648834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3865607976913452},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3709258735179901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34059077501296997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14383018016815186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10972902178764343},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym16030331","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym16030331","pdf_url":"https://www.mdpi.com/2073-8994/16/3/331/pdf?version=1709912673","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b36603137a5446699bae499c811ea97c","is_oa":false,"landing_page_url":"https://doaj.org/article/b36603137a5446699bae499c811ea97c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"Symmetry, Vol 16, Iss 3, p 331 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/16/3/331/","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16030331","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym16030331","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym16030331","pdf_url":"https://www.mdpi.com/2073-8994/16/3/331/pdf?version=1709912673","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324344","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392600796.pdf","grobid_xml":"https://content.openalex.org/works/W4392600796.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1506664725","https://openalex.org/W1965558540","https://openalex.org/W1978693144","https://openalex.org/W1993585330","https://openalex.org/W1996399172","https://openalex.org/W2007639869","https://openalex.org/W2023819460","https://openalex.org/W2063266958","https://openalex.org/W2066636673","https://openalex.org/W2077388661","https://openalex.org/W2082434514","https://openalex.org/W2083875149","https://openalex.org/W2103758212","https://openalex.org/W2123033778","https://openalex.org/W2167564255","https://openalex.org/W2188178806","https://openalex.org/W2265187329","https://openalex.org/W2720946861","https://openalex.org/W2898818720","https://openalex.org/W2899557038","https://openalex.org/W2975311125","https://openalex.org/W3174709671","https://openalex.org/W3215491535","https://openalex.org/W4213203041","https://openalex.org/W4235618618","https://openalex.org/W4280575767","https://openalex.org/W4292247283","https://openalex.org/W4388308915","https://openalex.org/W4389221767","https://openalex.org/W6630479524","https://openalex.org/W6687266890","https://openalex.org/W6805001699"],"related_works":["https://openalex.org/W1997388263","https://openalex.org/W2542004663","https://openalex.org/W2736139738","https://openalex.org/W2033294392","https://openalex.org/W2053692289","https://openalex.org/W2265010438","https://openalex.org/W2077237889","https://openalex.org/W4382601126","https://openalex.org/W3120330303","https://openalex.org/W2357783592"],"abstract_inverted_index":{"Due":[0],"to":[1],"slash/burn":[2],"agricultural":[3],"activity":[4],"and":[5,23,33,92,111],"frequent":[6],"forest":[7],"fires,":[8],"PM2.5":[9,36,120],"has":[10],"become":[11],"a":[12,138],"significant":[13],"air":[14],"pollution":[15],"problem":[16],"in":[17,20,126,142],"Thailand,":[18],"especially":[19],"the":[21,43,58,63,66,76,80,85,89,93,108,129,133,145,149,154],"north":[22,24],"east":[25],"regions.":[26],"Since":[27],"its":[28],"dispersion":[29],"differs":[30],"both":[31],"spatially":[32],"temporally,":[34],"estimating":[35],"concentrations":[37],"discretely":[38],"by":[39,106],"area,":[40],"for":[41,62,153],"which":[42],"inverse":[44,72],"Gaussian":[45,73],"distribution":[46],"is":[47],"suitable,":[48],"can":[49],"provide":[50,55],"valuable":[51],"information.":[52],"Herein,":[53],"we":[54],"derivations":[56],"of":[57,65,68,70,95,101,118],"simultaneous":[59],"confidence":[60,78],"interval":[61,82],"ratios":[64],"coefficients":[67],"variation":[69],"multiple":[71],"distributions":[74],"using":[75,148],"generalized":[77],"interval,":[79,91],"Bayesian":[81,146],"based":[83],"on":[84],"Jeffreys\u2019":[86,150],"rule":[87,151],"prior,":[88],"fiducial":[90,130],"method":[94,131],"variance":[96],"estimates":[97],"recovery.":[98],"The":[99,122],"efficacies":[100],"these":[102],"methods":[103],"were":[104],"compared":[105],"considering":[107],"coverage":[109],"probability":[110],"average":[112],"length":[113],"obtained":[114],"from":[115],"simulation":[116],"results":[117],"daily":[119],"datasets.":[121],"findings":[123],"indicate":[124],"that":[125],"most":[127],"instances,":[128],"with":[132],"highest":[134,155],"posterior":[135,156],"density":[136,157],"demonstrated":[137],"superior":[139],"performance.":[140],"However,":[141],"certain":[143],"scenarios,":[144],"approach":[147],"prior":[152],"yielded":[158],"favorable":[159],"results.":[160]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2026-05-20T08:49:12.498775","created_date":"2025-10-10T00:00:00"}