{"id":"https://openalex.org/W2038266029","doi":"https://doi.org/10.1080/03610910701569168","title":"On the Sampling Distributions of the Estimated Process Loss Indices with Asymmetric Tolerances","display_name":"On the Sampling Distributions of the Estimated Process Loss Indices with Asymmetric Tolerances","publication_year":2007,"publication_date":"2007-11-05","ids":{"openalex":"https://openalex.org/W2038266029","doi":"https://doi.org/10.1080/03610910701569168","mag":"2038266029"},"language":"en","primary_location":{"id":"doi:10.1080/03610910701569168","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910701569168","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/A5005085324","display_name":"Yung-Chia Chang","orcid":"https://orcid.org/0000-0001-6272-3560"},"institutions":[{"id":"https://openalex.org/I4210165149","display_name":"Cheng Ching Hospital","ror":"https://ror.org/05eqycp84","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210165149"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Y. C. Chang","raw_affiliation_strings":["Ching Yun University","Department of Industrial Engineering and Management , Ching Yun University , Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ching Yun University","institution_ids":["https://openalex.org/I4210165149"]},{"raw_affiliation_string":"Department of Industrial Engineering and Management , Ching Yun University , Taiwan","institution_ids":["https://openalex.org/I4210165149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111582791","display_name":"W. L. Pearn","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"W. L. Pearn","raw_affiliation_strings":["National Chiao Tung University","[Department of Industrial Engineering and Management, National Chiao Tung University, Taiwan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Chiao Tung University","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"[Department of Industrial Engineering and Management, National Chiao Tung University, Taiwan]","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054278694","display_name":"Chien\u2010Wei Wu","orcid":"https://orcid.org/0000-0001-7965-1997"},"institutions":[{"id":"https://openalex.org/I4880106","display_name":"Feng Chia University","ror":"https://ror.org/05vhczg54","country_code":"TW","type":"education","lineage":["https://openalex.org/I4880106"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chien-Wei Wu","raw_affiliation_strings":["Feng Chia University","Department of Industrial Engineering and Systems Management , Feng Chia University , Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Feng Chia University","institution_ids":["https://openalex.org/I4880106"]},{"raw_affiliation_string":"Department of Industrial Engineering and Systems Management , Feng Chia University , Taiwan","institution_ids":["https://openalex.org/I4880106"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005085324"],"corresponding_institution_ids":["https://openalex.org/I4210165149"],"apc_list":null,"apc_paid":null,"fwci":0.3308,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69563404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"6","first_page":"1153","last_page":"1170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9998000264167786,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9998000264167786,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9718999862670898,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9598000049591064,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5828982591629028},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5300269722938538},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4885619580745697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40594542026519775},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.36641526222229004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3362025022506714},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.05399298667907715}],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5828982591629028},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5300269722938538},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4885619580745697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40594542026519775},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.36641526222229004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3362025022506714},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.05399298667907715},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610910701569168","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910701569168","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":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W74249542","https://openalex.org/W152569421","https://openalex.org/W185290625","https://openalex.org/W1035247949","https://openalex.org/W1485654901","https://openalex.org/W1530884268","https://openalex.org/W1593449005","https://openalex.org/W1975975526","https://openalex.org/W2018247367","https://openalex.org/W2040027350","https://openalex.org/W2090106581","https://openalex.org/W2145488203","https://openalex.org/W2170789143","https://openalex.org/W2950789501","https://openalex.org/W4230917442"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W3107697994"],"abstract_inverted_index":{"Pearn":[0],"et":[1],"al.":[2],"(Citation2006a)":[3],"proposed":[4],"a":[5,29,56,105,181,194],"new":[6],"generalization":[7],"of":[8,55,98,132,136,157,174,180,183,206],"expected":[9,59],"loss":[10,25,60],"index":[11,61,201],"L\u2033":[12,62,68,71,74,140,143,147,208],"e":[13,63,69,148,209],"to":[14,33,51,94,102],"handle":[15],"processes":[16],"with":[17],"both":[18],"symmetric":[19],"and":[20,37,88,127,146,158,166,187],"asymmetric":[21],"tolerances.":[22],"Putting":[23],"the":[24,35,38,41,45,53,85,89,96,123,128,133,137,154,163,167,172,184,188,199],"in":[26,114,178],"relative":[27],"terms,":[28],"user":[30],"needs":[31],"only":[32],"specify":[34],"target":[36,42],"distance":[39],"from":[40],"at":[43],"which":[44,77],"product":[46],"would":[47],"have":[48,151],"zero":[49],"worth":[50],"quantify":[52],"performance":[54],"process.":[57],"The":[58],"may":[64,159],"be":[65,160,176],"expressed":[66,161],"as":[67,162],"=":[70],"ot":[72,141],"+":[73],"pe":[75,144],",":[76,142,145],"provides":[78],"an":[79,204],"uncontaminated":[80],"separation":[81],"between":[82],"information":[83],"concerning":[84],"process":[86,90,106],"accuracy":[87],"precision.":[91],"In":[92],"order":[93],"apply":[95],"theory":[97],"testing":[99,207],"statistical":[100],"hypothesis":[101],"test":[103],"whether":[104],"is":[107,210],"capable":[108],"or":[109],"not":[110],"under":[111],"normality":[112],"assumption,":[113],"this":[115],"paper":[116],"we":[117,192],"first":[118],"derive":[119],"explicit":[120],"form":[121],"for":[122,213],"cumulative":[124],"distribution":[125,165,173,186],"function":[126,131],"probability":[129],"density":[130],"natural":[134],"estimator":[135],"three":[138],"indices":[139],".":[149,202],"We":[150],"proved":[152],"that":[153],"sampling":[155],"distributions":[156],"chi-square":[164,185],"normal":[168,189],"distribution,":[169],"respectively.":[170],"And":[171],"can":[175],"described":[177],"terms":[179],"mixture":[182],"distribution.":[190],"Then,":[191],"develop":[193],"decision-making":[195],"rule":[196],"based":[197],"on":[198],"estimated":[200],"Finally,":[203],"example":[205],"also":[211],"presented":[212],"illustrative":[214],"purpose.":[215]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
