{"id":"https://openalex.org/W2088854665","doi":"https://doi.org/10.1080/03610910903277859","title":"Saddlepoint Approximations to the Limiting Distribution of the Modified Anderson\u2013Darling Test Statistic","display_name":"Saddlepoint Approximations to the Limiting Distribution of the Modified Anderson\u2013Darling Test Statistic","publication_year":2009,"publication_date":"2009-10-12","ids":{"openalex":"https://openalex.org/W2088854665","doi":"https://doi.org/10.1080/03610910903277859","mag":"2088854665"},"language":"en","primary_location":{"id":"doi:10.1080/03610910903277859","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910903277859","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/A5015519136","display_name":"Hidetoshi Murakami","orcid":"https://orcid.org/0000-0002-7929-1714"},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hidetoshi Murakami","raw_affiliation_strings":["Department of Industrial and Systems Engineering , Chuo University , Tokyo , Japan","Department of Industrial and Systems Engineering, Chuo University, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering , Chuo University , Tokyo , Japan","institution_ids":["https://openalex.org/I96679780"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Chuo University, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015519136"],"corresponding_institution_ids":["https://openalex.org/I96679780"],"apc_list":null,"apc_paid":null,"fwci":1.1307,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80133103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"10","first_page":"2214","last_page":"2219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9965999722480774,"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":0.9965999722480774,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.983299970626831,"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":0.9811000227928162,"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/mathematics","display_name":"Mathematics","score":0.6690061092376709},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5915011167526245},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5820139050483704},{"id":"https://openalex.org/keywords/anderson\u2013darling-test","display_name":"Anderson\u2013Darling test","score":0.5714977979660034},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5591040849685669},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5576345324516296},{"id":"https://openalex.org/keywords/empirical-distribution-function","display_name":"Empirical distribution function","score":0.5327558517456055},{"id":"https://openalex.org/keywords/distribution-function","display_name":"Distribution function","score":0.4707998037338257},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4473626911640167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4400375485420227},{"id":"https://openalex.org/keywords/edgeworth-series","display_name":"Edgeworth series","score":0.4132269322872162},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3898189663887024},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.324714720249176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19786006212234497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15119880437850952},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09094849228858948}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6690061092376709},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5915011167526245},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5820139050483704},{"id":"https://openalex.org/C187758679","wikidata":"https://www.wikidata.org/wiki/Q491401","display_name":"Anderson\u2013Darling test","level":4,"score":0.5714977979660034},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5591040849685669},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5576345324516296},{"id":"https://openalex.org/C98385598","wikidata":"https://www.wikidata.org/wiki/Q1339385","display_name":"Empirical distribution function","level":2,"score":0.5327558517456055},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.4707998037338257},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4473626911640167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4400375485420227},{"id":"https://openalex.org/C160817175","wikidata":"https://www.wikidata.org/wiki/Q5337942","display_name":"Edgeworth series","level":2,"score":0.4132269322872162},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3898189663887024},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.324714720249176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19786006212234497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15119880437850952},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09094849228858948},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610910903277859","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910903277859","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":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W371215106","https://openalex.org/W1973429805","https://openalex.org/W1981674748","https://openalex.org/W1986827948","https://openalex.org/W2000305036","https://openalex.org/W2000493427","https://openalex.org/W2010954392","https://openalex.org/W2049361783","https://openalex.org/W2069842242","https://openalex.org/W2073454394","https://openalex.org/W2085567164","https://openalex.org/W2092952227","https://openalex.org/W2158052794","https://openalex.org/W2314297038","https://openalex.org/W2331747324","https://openalex.org/W2596323328","https://openalex.org/W4251428492","https://openalex.org/W4302785835","https://openalex.org/W4388255116"],"related_works":["https://openalex.org/W2903936023","https://openalex.org/W2001842875","https://openalex.org/W2196525418","https://openalex.org/W1997028851","https://openalex.org/W1536719639","https://openalex.org/W1588771202","https://openalex.org/W1523686749","https://openalex.org/W2058039291","https://openalex.org/W2050297329","https://openalex.org/W4225988942"],"abstract_inverted_index":{"The":[0,14,33],"approximation":[1,40],"for":[2,28,88],"the":[3,25,29,39,99],"distribution":[4,27],"function":[5,94],"of":[6,24,41,82,102],"test":[7,66],"statistic":[8],"is":[9,95],"extremely":[10],"important":[11],"in":[12,22],"statistics.":[13],"standard":[15],"and":[16,70],"higher-order":[17],"saddlepoint":[18,34,104],"approximations":[19,35],"are":[20,36],"considered":[21],"tails":[23],"limiting":[26],"modified":[30],"Anderson\u2013Darling":[31],"test.":[32],"compared":[37],"with":[38],"Sinclair":[42,46],"et":[43],"al.":[44],"(1990":[45],",":[47,50,52,55,57,85],"C.":[48],"D.":[49,54],"Spurr":[51],"B.":[53],"Ahmad":[56],"M.":[58],"I.":[59],"(":[60],"1990":[61],").":[62],"Modified":[63],"Anderson":[64],"Darling":[65],".":[67],"Communication":[68],"Statistics\u2014Theory":[69],"Methods":[71],"19":[72],":":[73],"3677":[74],"\u2013":[75],"3686":[76],".[Taylor":[77],"&":[78],"Francis":[79],"Online],":[80],"[Web":[81],"Science":[83],"\u00ae]":[84],"[Google":[86],"Scholar])":[87],"upper":[89],"tail":[90],"area.":[91],"An":[92],"empirical":[93],"derived":[96],"to":[97],"estimate":[98],"critical":[100],"values":[101],"a":[103],"approximation.":[105]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}