{"id":"https://openalex.org/W2165036375","doi":"https://doi.org/10.1109/tr.2011.2162470","title":"Goodness-of-Fit Test Based on Kullback-Leibler Information for Progressively Type-II Censored Data","display_name":"Goodness-of-Fit Test Based on Kullback-Leibler Information for Progressively Type-II Censored Data","publication_year":2011,"publication_date":"2011-08-03","ids":{"openalex":"https://openalex.org/W2165036375","doi":"https://doi.org/10.1109/tr.2011.2162470","mag":"2165036375"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2011.2162470","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2011.2162470","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","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/A5109330979","display_name":"A. Habibi Rad","orcid":null},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Arezou Habibi Rad","raw_affiliation_strings":["Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113587396","display_name":"Fatemeh Yousefzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I97626857","display_name":"University of Birjand","ror":"https://ror.org/03g4hym73","country_code":"IR","type":"education","lineage":["https://openalex.org/I97626857"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fatemeh Yousefzadeh","raw_affiliation_strings":["Department of Statistics, School of Sciences, Birjand University, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, School of Sciences, Birjand University, Iran","institution_ids":["https://openalex.org/I97626857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039956503","display_name":"N. Balakrishnan","orcid":"https://orcid.org/0000-0001-5842-8892"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA","SA"],"is_corresponding":false,"raw_author_name":"Narayanaswamy Balakrishnan","raw_affiliation_strings":["Department of Mathematics and Statistics, McMaster University, Hamilton, ONT, Canada","Faculty of Science, King Saud University, Riyadh, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McMaster University, Hamilton, ONT, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Faculty of Science, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4674,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.95449351,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"60","issue":"3","first_page":"570","last_page":"579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9973000288009644,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9657999873161316,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/goodness-of-fit","display_name":"Goodness of fit","score":0.6806738376617432},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6544837951660156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6480679512023926},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.5822750926017761},{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.5778292417526245},{"id":"https://openalex.org/keywords/censoring","display_name":"Censoring (clinical trials)","score":0.5742791295051575},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5311658978462219},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5248539447784424},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.484203577041626},{"id":"https://openalex.org/keywords/anderson\u2013darling-test","display_name":"Anderson\u2013Darling test","score":0.45779353380203247},{"id":"https://openalex.org/keywords/likelihood-ratio-test","display_name":"Likelihood-ratio test","score":0.41157665848731995},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.30923694372177124}],"concepts":[{"id":"https://openalex.org/C132480984","wikidata":"https://www.wikidata.org/wiki/Q2034239","display_name":"Goodness of fit","level":2,"score":0.6806738376617432},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6544837951660156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6480679512023926},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.5822750926017761},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.5778292417526245},{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.5742791295051575},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5311658978462219},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5248539447784424},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.484203577041626},{"id":"https://openalex.org/C187758679","wikidata":"https://www.wikidata.org/wiki/Q491401","display_name":"Anderson\u2013Darling test","level":4,"score":0.45779353380203247},{"id":"https://openalex.org/C9483764","wikidata":"https://www.wikidata.org/wiki/Q585740","display_name":"Likelihood-ratio test","level":2,"score":0.41157665848731995},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.30923694372177124}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2011.2162470","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2011.2162470","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W42473135","https://openalex.org/W186513846","https://openalex.org/W598477298","https://openalex.org/W1972045164","https://openalex.org/W1991567646","https://openalex.org/W1995875735","https://openalex.org/W2021949567","https://openalex.org/W2042774758","https://openalex.org/W2047553816","https://openalex.org/W2085272105","https://openalex.org/W2097999246","https://openalex.org/W2098313482","https://openalex.org/W2098348164","https://openalex.org/W2108997649","https://openalex.org/W2117047719","https://openalex.org/W2123679406","https://openalex.org/W2123838014","https://openalex.org/W2127332440","https://openalex.org/W2150645435","https://openalex.org/W2171547964","https://openalex.org/W2330147958","https://openalex.org/W2480248290","https://openalex.org/W2490166567","https://openalex.org/W2914679068","https://openalex.org/W4233162961","https://openalex.org/W4239498310","https://openalex.org/W4250828386","https://openalex.org/W4252599271"],"related_works":["https://openalex.org/W2363656491","https://openalex.org/W4376988598","https://openalex.org/W4388007941","https://openalex.org/W1581143638","https://openalex.org/W2884149040","https://openalex.org/W2104316150","https://openalex.org/W2088475901","https://openalex.org/W4233343816","https://openalex.org/W2013785022","https://openalex.org/W2063123367"],"abstract_inverted_index":{"We":[0,50],"express":[1],"the":[2,18,30,59,79,90,93],"joint":[3,31],"entropy":[4,32],"of":[5,13,17,29,33,78,92],"progressively":[6,34],"Type-II":[7,35],"censored":[8,36],"order":[9],"statistics":[10],"in":[11],"terms":[12],"an":[14],"incomplete":[15],"integral":[16],"hazard":[19],"function,":[20],"and":[21,65,73,103],"use":[22,84],"it":[23],"to":[24,88],"develop":[25],"a":[26,53],"simple":[27],"estimate":[28],"data,":[37],"considered":[38],"earlier":[39],"by":[40,68],"Balakrishnan":[41],",":[42],"IEEE":[43],"Trans.":[44],"Reliability,":[45],"vol.":[46],"56,":[47],"pp.":[48],"349-356.":[49],"then":[51],"construct":[52],"goodness-of-fit":[54],"test":[55,95],"statistic":[56],"based":[57],"on":[58],"Kullback-Leibler":[60],"information":[61],"for":[62,96],"Pareto,":[63],"log-normal,":[64],"Weibull":[66],"distributions":[67],"using":[69],"maximum":[70,75],"likelihood":[71,76],"estimates":[72,77],"approximate":[74],"model":[80],"parameters.":[81],"Finally,":[82],"we":[83],"Monte":[85],"Carlo":[86],"simulations":[87],"evaluate":[89],"power":[91],"proposed":[94],"several":[97],"alternatives":[98],"under":[99],"different":[100],"sample":[101],"sizes":[102],"progressive":[104],"censoring":[105],"schemes.":[106]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}