{"id":"https://openalex.org/W2010678753","doi":"https://doi.org/10.1214/aos/1032526964","title":"A combinatorial central limit theorem for randomized orthogonal array sampling designs","display_name":"A combinatorial central limit theorem for randomized orthogonal array sampling designs","publication_year":1996,"publication_date":"1996-06-01","ids":{"openalex":"https://openalex.org/W2010678753","doi":"https://doi.org/10.1214/aos/1032526964","mag":"2010678753"},"language":"en","primary_location":{"id":"doi:10.1214/aos/1032526964","doi":"https://doi.org/10.1214/aos/1032526964","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1032526964","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-24/issue-3/A-combinatorial-central-limit-theorem-for-randomized-orthogonal-array-sampling/10.1214/aos/1032526964.pdf","source":{"id":"https://openalex.org/S119757635","display_name":"The Annals of Statistics","issn_l":"0090-5364","issn":["0090-5364","2168-8966"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Statistics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-24/issue-3/A-combinatorial-central-limit-theorem-for-randomized-orthogonal-array-sampling/10.1214/aos/1032526964.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038603416","display_name":"Wei\u2010Liem Loh","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wei-Liem Loh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5038603416"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2909,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.7963369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"3","first_page":"1209","last_page":"1224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.8237000107765198,"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"}},"topics":[{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.8237000107765198,"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"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.1462000012397766,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11195","display_name":"Simulation Techniques and Applications","score":0.002099999925121665,"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/computer-experiments","display_name":"computer experiments","score":0.8650000095367432},{"id":"https://openalex.org/keywords/experimental-design","display_name":"experimental design","score":0.5920000076293945},{"id":"https://openalex.org/keywords/convergence-to-normality","display_name":"convergence to normality","score":0.8299999833106995},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.49300000071525574},{"id":"https://openalex.org/keywords/unit-cube","display_name":"unit cube","score":0.4359999895095825},{"id":"https://openalex.org/keywords/function-estimation","display_name":"function estimation","score":0.3269999921321869},{"id":"https://openalex.org/keywords/monte-carlo-sampling","display_name":"Monte Carlo sampling","score":0.3540000021457672}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8850407600402832},{"id":"https://openalex.org/C60432849","wikidata":"https://www.wikidata.org/wiki/Q2072112","display_name":"Unit cube","level":2,"score":0.7697482109069824},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.697428822517395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5257650017738342},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49379000067710876},{"id":"https://openalex.org/C42632107","wikidata":"https://www.wikidata.org/wiki/Q2031860","display_name":"Orthogonal array","level":3,"score":0.46984758973121643},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.46592140197753906},{"id":"https://openalex.org/C84316537","wikidata":"https://www.wikidata.org/wiki/Q36255","display_name":"Unit vector","level":2,"score":0.4303949177265167},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.42700862884521484},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4066081643104553},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2249186635017395},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19965523481369019},{"id":"https://openalex.org/C83469408","wikidata":"https://www.wikidata.org/wiki/Q2036525","display_name":"Taguchi methods","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1214/aos/1032526964","doi":"https://doi.org/10.1214/aos/1032526964","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1032526964","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-24/issue-3/A-combinatorial-central-limit-theorem-for-randomized-orthogonal-array-sampling/10.1214/aos/1032526964.pdf","source":{"id":"https://openalex.org/S119757635","display_name":"The Annals of Statistics","issn_l":"0090-5364","issn":["0090-5364","2168-8966"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Statistics","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/102618","doi":null,"is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/102618","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Scopus","raw_type":"Article"},{"id":"pmh:oai:CULeuclid:euclid.aos/1032526964","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.aos/1032526964","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1214/aos/1032526964","doi":"https://doi.org/10.1214/aos/1032526964","is_oa":true,"landing_page_url":"https://doi.org/10.1214/aos/1032526964","pdf_url":"https://projecteuclid.org/journals/annals-of-statistics/volume-24/issue-3/A-combinatorial-central-limit-theorem-for-randomized-orthogonal-array-sampling/10.1214/aos/1032526964.pdf","source":{"id":"https://openalex.org/S119757635","display_name":"The Annals of Statistics","issn_l":"0090-5364","issn":["0090-5364","2168-8966"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Statistics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010678753.pdf","grobid_xml":"https://content.openalex.org/works/W2010678753.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1587704401","https://openalex.org/W1873595945","https://openalex.org/W1967692477","https://openalex.org/W2010245844","https://openalex.org/W2038669746","https://openalex.org/W2054385052","https://openalex.org/W2797142424","https://openalex.org/W4243645092","https://openalex.org/W4247680473"],"related_works":["https://openalex.org/W3094570972","https://openalex.org/W1973387123","https://openalex.org/W2104606439","https://openalex.org/W2014828174","https://openalex.org/W4298879705","https://openalex.org/W2949107995","https://openalex.org/W2951347210","https://openalex.org/W3143130018","https://openalex.org/W2032549759","https://openalex.org/W4299306266"],"abstract_inverted_index":{"Let":[0],"X":[1],"be":[2,18],"a":[3,19,40,49,71,88],"random":[4],"vector":[5],"uniformly":[6],"distributed":[7],"on":[8],"the":[9,67,76,82,85],"unit":[10],"cube":[11],"and":[12,58],"$f:":[13],"[0,":[14],"1]^3":[15],"\\to":[16],"\\mathsf{R}$":[17],"measurable":[20],"function.":[21],"An":[22],"objective":[23],"of":[24,42,69,81,84,87,90,96],"many":[25],"computer":[26],"experiments":[27],"is":[28,48],"to":[29,79],"estimate":[30],"$\\mu":[31],"=":[32],"E(f":[33],"\\circ":[34],"X)$":[35],"by":[36],"computing":[37],"f":[38,91],"at":[39],"set":[41,89],"points":[43],"in":[44,52,66],"$[0,":[45],"1]^3$.":[46],"There":[47],"design":[50],"issue":[51],"choosing":[53],"these":[54,97],"points.":[55],"Recently":[56],"Owen":[57],"Tang":[59],"independently":[60],"suggested":[61],"using":[62],"randomized":[63],"orthogonal":[64],"arrays":[65],"choice":[68],"such":[70],"set.":[72],"This":[73],"paper":[74],"investigates":[75],"convergence":[77],"rate":[78],"normality":[80],"distribution":[83],"average":[86],"values":[92],"taken":[93],"from":[94],"one":[95],"designs.":[98]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
