{"id":"https://openalex.org/W2154238866","doi":"https://doi.org/10.1002/net.3230170204","title":"A monte carlo sampling plan for estimating reliability parameters and related functions","display_name":"A monte carlo sampling plan for estimating reliability parameters and related functions","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W2154238866","doi":"https://doi.org/10.1002/net.3230170204","mag":"2154238866"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230170204","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230170204","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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/A5062358339","display_name":"George S. Fishman","orcid":null},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"George S. Fishman","raw_affiliation_strings":["Curriculum in Operations Research and Systems Analysis, University of North Carolina, Chapel Hill, North Carolina 27514"],"affiliations":[{"raw_affiliation_string":"Curriculum in Operations Research and Systems Analysis, University of North Carolina, Chapel Hill, North Carolina 27514","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062358339"],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":1.7734,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.86913057,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"2","first_page":"169","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9818000197410583,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9506999850273132,"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/mathematics","display_name":"Mathematics","score":0.7073804140090942},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6702245473861694},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.663207471370697},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6614120006561279},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5904386043548584},{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.5348092317581177},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.46736428141593933},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.424580454826355},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4222063422203064},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29379987716674805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1578870415687561}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7073804140090942},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6702245473861694},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.663207471370697},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6614120006561279},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5904386043548584},{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.5348092317581177},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.46736428141593933},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.424580454826355},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4222063422203064},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29379987716674805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1578870415687561},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230170204","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230170204","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1655990431","https://openalex.org/W1969148345","https://openalex.org/W1975864053","https://openalex.org/W1998076865","https://openalex.org/W2006458315","https://openalex.org/W2006565443","https://openalex.org/W2006811678","https://openalex.org/W2014091871","https://openalex.org/W2089213868","https://openalex.org/W2093071349","https://openalex.org/W2101720181","https://openalex.org/W2115049345","https://openalex.org/W2125697860","https://openalex.org/W2146883641","https://openalex.org/W2296084214","https://openalex.org/W2316039394","https://openalex.org/W3136243343","https://openalex.org/W4298482458"],"related_works":["https://openalex.org/W3125761283","https://openalex.org/W2164081328","https://openalex.org/W1976722080","https://openalex.org/W3092556108","https://openalex.org/W3152831473","https://openalex.org/W1995672666","https://openalex.org/W2190085401","https://openalex.org/W3044931971","https://openalex.org/W3008541637","https://openalex.org/W3121197002"],"abstract_inverted_index":{"Abstract":[0],"Consider":[1],"an":[2,234],"undirected":[3],"network":[4,134,313],"G":[5],"with":[6,52,314],"node":[7],"set":[8,12,225],"V":[9,31],"and":[10,23,32,57,75,100,231,261,289,317],"arc":[11],"E":[13],"=":[14,180,183,197,203,206,258,271],"{1,":[15],"\u2026,":[16],"n":[17,58,124,126,135,253,265,275],"}":[18,74,200],"where":[19,112,177],"arcs":[20,56,319],"fail":[21],"randomly":[22],"independently.":[24],"Let":[25],"T":[26,46,50,83],"be":[27,296],"a":[28,66,117,154,208,214,223,246,312],"subset":[29],"of":[30,39,45,78,132,226,304],"let":[33],"M":[34,72,108],"k":[35,54,60,73,109],"denote":[36],"the":[37,43,82,113,130,133,158,165,302,305,321],"number":[38],"ways":[40],"that":[41,244],"all":[42,138],"nodes":[44,316],"are":[47,104,242,281],"connected":[48],"(":[49,88,123,150,170,252,264,286],"\u2010connectivity)":[51],"exactly":[53],"operating":[55],"\u2010":[59,96],"failed":[61],"arcs.":[62],"This":[63],"paper":[64],"describes":[65],"sampling":[67,143,306],"plan":[68],"for":[69,91,106,153,256,269,284],"estimating":[70],"{":[71,107,168,184],"linear":[76],"functions":[77],"these":[79,294],"parameters,":[80],"including":[81],"\u2010connectedness":[84],"reliability":[85],"function":[86,167],"g":[87,149,169,285],"p":[89,97,151,156,171,173,287],")":[90,127,152,254,267,288],"common":[92],"failure":[93],"probability":[94],"1":[95,194],".":[98],"Point":[99],"simultaneous":[101],"interval":[102,114,235,240],"estimates":[103,115,241],"derived":[105,243,283],"/(":[110],"},":[111,176],"meet":[116,245],"fixed":[118,155,247],"width":[119,248],"criterion":[120,249],"in":[121,228,236,250,262],"O":[122,188,251,263],"log":[125],"time":[128,255,268],"as":[129,274],"size":[131],"grows.":[136],"Whereas":[137],"previously":[139],"proposed":[140,159,322],"Monte":[141],"Carlo":[142],"plans":[144],"enable":[145],"one":[146,162],"to":[147,163,298],"estimate":[148,164],",":[157,209],"method":[160],"allows":[161],"entire":[166],"),":[172],"\u2208":[174],"P":[175,179,181,202,204,220,232,257,259,270,272],"either":[178],"*":[182,221,260],"q":[185,190],"i":[186,191,196],":":[187],"\u2266":[189,192,195,198,213,215,217],"1,":[193],"v":[199],"or":[201],"**":[205,233,273],"{[":[207],"b":[210,216],"]:":[211],"0":[212],"1}.":[218],"Here":[219],"denotes":[222],"finite":[224],"points":[227],"[0,":[229,237],"1]":[230],"1].":[238],"Simultaneous":[239],"2":[266],"\u2192":[276],"\u221e.":[277],"A":[278],"priori":[279],"bounds":[280],"also":[282],"it":[290],"is":[291],"shown":[292],"how":[293],"can":[295],"used":[297],"give":[299],"guidance":[300],"on":[301,311],"performance":[303],"plan.":[307],"An":[308],"example":[309],"based":[310],"44":[315],"85":[318],"illustrates":[320],"method.":[323]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
