{"id":"https://openalex.org/W3210514589","doi":"https://doi.org/10.3390/e23111394","title":"A New Generator of Probability Models: The Exponentiated Sine-G Family for Lifetime Studies","display_name":"A New Generator of Probability Models: The Exponentiated Sine-G Family for Lifetime Studies","publication_year":2021,"publication_date":"2021-10-24","ids":{"openalex":"https://openalex.org/W3210514589","doi":"https://doi.org/10.3390/e23111394","mag":"3210514589","pmid":"https://pubmed.ncbi.nlm.nih.gov/34828091"},"language":"en","primary_location":{"id":"doi:10.3390/e23111394","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23111394","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1394/pdf?version=1635920257","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/11/1394/pdf?version=1635920257","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043518836","display_name":"Mustapha Muhammad","orcid":"https://orcid.org/0000-0003-0329-5898"},"institutions":[{"id":"https://openalex.org/I919958821","display_name":"Bayero University Kano","ror":"https://ror.org/049pzty39","country_code":"NG","type":"education","lineage":["https://openalex.org/I919958821"]},{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN","NG"],"is_corresponding":false,"raw_author_name":"Mustapha Muhammad","raw_affiliation_strings":["Department of Mathematical Sciences, Bayero University, Kano 700241, Nigeria","School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Bayero University, Kano 700241, Nigeria","institution_ids":["https://openalex.org/I919958821"]},{"raw_affiliation_string":"School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043160779","display_name":"Huda M. Alshanbari","orcid":"https://orcid.org/0000-0001-5154-7477"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Huda M. Alshanbari","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000311601","display_name":"Ayed R. A. Alanzi","orcid":"https://orcid.org/0000-0002-5337-2276"},"institutions":[{"id":"https://openalex.org/I199702508","display_name":"Al Jouf University","ror":"https://ror.org/02zsyt821","country_code":"SA","type":"education","lineage":["https://openalex.org/I199702508"]},{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ayed R. A. Alanzi","raw_affiliation_strings":["Department of Mathematics, College of Science and Arts in Gurayat, Jouf University, Gurayat 77454, Saudi Arabia","Department of Mathematics, College of Science and Human Studies at Hotat Sudair, Majmaah University, Majmaah 11952, Saudia Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science and Arts in Gurayat, Jouf University, Gurayat 77454, Saudi Arabia","institution_ids":["https://openalex.org/I199702508"]},{"raw_affiliation_string":"Department of Mathematics, College of Science and Human Studies at Hotat Sudair, Majmaah University, Majmaah 11952, Saudia Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100698777","display_name":"Lixia Liu","orcid":"https://orcid.org/0000-0001-6132-4461"},"institutions":[{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lixia Liu","raw_affiliation_strings":["School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006175602","display_name":"Waqas Sami","orcid":"https://orcid.org/0000-0001-7948-1190"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]},{"id":"https://openalex.org/I4210100043","display_name":"Superior University","ror":"https://ror.org/00yh88643","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210100043"]}],"countries":["PK","SA"],"is_corresponding":false,"raw_author_name":"Waqas Sami","raw_affiliation_strings":["Azra Naheed Medical College, Superior University, Lahore 54000, Pakistan","Department of Community Medicine & Public Health, College of Medicine, Majmaah University, Almajmaah 11952, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Azra Naheed Medical College, Superior University, Lahore 54000, Pakistan","institution_ids":["https://openalex.org/I4210100043"]},{"raw_affiliation_string":"Department of Community Medicine & Public Health, College of Medicine, Majmaah University, Almajmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083045521","display_name":"Christophe Chesneau","orcid":"https://orcid.org/0000-0002-1522-9292"},"institutions":[{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Chesneau","raw_affiliation_strings":["Department of Mathematics, University of Caen-Normandie, 14032 Caen, France"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Caen-Normandie, 14032 Caen, France","institution_ids":["https://openalex.org/I98702875"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010653691","display_name":"Farrukh Jamal","orcid":"https://orcid.org/0000-0001-6192-9890"},"institutions":[{"id":"https://openalex.org/I174731842","display_name":"Islamia University of Bahawalpur","ror":"https://ror.org/002rc4w13","country_code":"PK","type":"education","lineage":["https://openalex.org/I174731842"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Farrukh Jamal","raw_affiliation_strings":["Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5010653691","https://openalex.org/A5100698777"],"corresponding_institution_ids":["https://openalex.org/I174731842","https://openalex.org/I94611258"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":6.3886,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.97701484,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"11","first_page":"1394","last_page":"1394"},"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/T11186","display_name":"Hydrology and Drought Analysis","score":0.972599983215332,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9519000053405762,"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":0.7460766434669495},{"id":"https://openalex.org/keywords/kurtosis","display_name":"Kurtosis","score":0.7235357761383057},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6731156706809998},{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.6162315011024475},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.5813882946968079},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.5084909200668335},{"id":"https://openalex.org/keywords/shape-parameter","display_name":"Shape parameter","score":0.4871685206890106},{"id":"https://openalex.org/keywords/coverage-probability","display_name":"Coverage probability","score":0.45725932717323303},{"id":"https://openalex.org/keywords/exponentiated-weibull-distribution","display_name":"Exponentiated Weibull distribution","score":0.45374566316604614},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.44188961386680603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4310508370399475},{"id":"https://openalex.org/keywords/quantile-function","display_name":"Quantile function","score":0.4106007218360901},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.3701464533805847},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"Moment-generating function","score":0.3000759482383728}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7460766434669495},{"id":"https://openalex.org/C166963901","wikidata":"https://www.wikidata.org/wiki/Q287251","display_name":"Kurtosis","level":2,"score":0.7235357761383057},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6731156706809998},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.6162315011024475},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.5813882946968079},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.5084909200668335},{"id":"https://openalex.org/C199435849","wikidata":"https://www.wikidata.org/wiki/Q3179293","display_name":"Shape parameter","level":2,"score":0.4871685206890106},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.45725932717323303},{"id":"https://openalex.org/C95770405","wikidata":"https://www.wikidata.org/wiki/Q5421539","display_name":"Exponentiated Weibull distribution","level":3,"score":0.45374566316604614},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.44188961386680603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4310508370399475},{"id":"https://openalex.org/C47121976","wikidata":"https://www.wikidata.org/wiki/Q3489473","display_name":"Quantile function","level":4,"score":0.4106007218360901},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.3701464533805847},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.3000759482383728}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e23111394","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23111394","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1394/pdf?version=1635920257","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:34828091","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34828091","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:0abb26cc3be6436c8a4c8a3b6af02de1","is_oa":true,"landing_page_url":"https://doaj.org/article/0abb26cc3be6436c8a4c8a3b6af02de1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 11, p 1394 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/11/1394/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23111394","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 23; Issue 11; Pages: 1394","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8619665","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8619665","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23111394","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23111394","pdf_url":"https://www.mdpi.com/1099-4300/23/11/1394/pdf?version=1635920257","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G20038567","display_name":null,"funder_award_id":"(ZD2018065)","funder_id":"https://openalex.org/F4320321949","funder_display_name":"Department of Education of Hebei Province"}],"funders":[{"id":"https://openalex.org/F4320321949","display_name":"Department of Education of Hebei Province","ror":"https://ror.org/01jkyjd96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3210514589.pdf","grobid_xml":"https://content.openalex.org/works/W3210514589.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W120429982","https://openalex.org/W612010249","https://openalex.org/W1496753898","https://openalex.org/W1581231885","https://openalex.org/W1710936373","https://openalex.org/W1964896347","https://openalex.org/W1965809243","https://openalex.org/W1985817742","https://openalex.org/W1986165279","https://openalex.org/W1987057171","https://openalex.org/W1991231530","https://openalex.org/W1997040453","https://openalex.org/W2018745932","https://openalex.org/W2019044051","https://openalex.org/W2023219679","https://openalex.org/W2036209393","https://openalex.org/W2038627017","https://openalex.org/W2056760934","https://openalex.org/W2075331810","https://openalex.org/W2083875149","https://openalex.org/W2084568079","https://openalex.org/W2084872827","https://openalex.org/W2086783012","https://openalex.org/W2092346195","https://openalex.org/W2138309709","https://openalex.org/W2159971383","https://openalex.org/W2481970566","https://openalex.org/W2506570937","https://openalex.org/W2561683768","https://openalex.org/W2586869607","https://openalex.org/W2735032290","https://openalex.org/W2738777274","https://openalex.org/W2794112791","https://openalex.org/W2794196729","https://openalex.org/W2924536885","https://openalex.org/W2938159390","https://openalex.org/W3033456554","https://openalex.org/W3105340109","https://openalex.org/W3155116017","https://openalex.org/W4288100482","https://openalex.org/W4399590719","https://openalex.org/W6637716311","https://openalex.org/W6655164746","https://openalex.org/W6730601266","https://openalex.org/W6733397073","https://openalex.org/W6741054230","https://openalex.org/W6841114464","https://openalex.org/W6911951421"],"related_works":["https://openalex.org/W2090965550","https://openalex.org/W2898802606","https://openalex.org/W2899131349","https://openalex.org/W1496753898","https://openalex.org/W1988377004","https://openalex.org/W2509611994","https://openalex.org/W1978209741","https://openalex.org/W3016778165","https://openalex.org/W2947465414","https://openalex.org/W3026054364"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,45],"propose":[4],"the":[5,18,22,38,75,88,99,109,116,126,139,143,152,164,172],"exponentiated":[6,39,117,173],"sine-generated":[7],"family":[8],"of":[9,21,108,115,142,163,171,180],"distributions.":[10,67],"Some":[11],"important":[12],"properties":[13],"are":[14,80,84,135,177],"demonstrated,":[15],"such":[16],"as":[17,96],"series":[19],"representation":[20],"probability":[23],"density":[24],"function,":[25,27,53],"quantile":[26,52],"moments,":[28,51],"stress-strength":[29,112,183],"reliability,":[30],"and":[31,49,56,64,71,90,105,123,160],"R\u00e9nyi":[32],"entropy.":[33],"A":[34,146],"particular":[35],"member,":[36],"called":[37],"sine":[40,118,174],"Weibull":[41,119,175],"distribution,":[42],"is":[43,121,148],"highlighted;":[44],"analyze":[46],"its":[47],"skewness":[48],"kurtosis,":[50],"residual":[54,59],"mean":[55,58,100,153],"reversed":[57],"life":[60],"functions,":[61],"order":[62],"statistics,":[63],"extreme":[65],"value":[66],"Maximum":[68],"likelihood":[69,128],"estimation":[70,73,129],"Bayes":[72],"under":[74],"square":[76,101,154],"error":[77],"loss":[78],"function":[79],"considered.":[81],"Simulation":[82],"studies":[83],"used":[85,136],"to":[86,137,150],"assess":[87],"techniques,":[89],"their":[91],"performance":[92],"gives":[93],"satisfactory":[94],"results":[95],"discussed":[97],"by":[98,125],"error,":[102,155],"confidence":[103,140,158],"intervals,":[104,159],"coverage":[106,161],"probabilities":[107,162],"estimates.":[110],"The":[111],"reliability":[113,144,165],"parameter":[114],"model":[120,176],"derived":[122],"estimated":[124],"maximum":[127],"method.":[130],"Also,":[131],"nonparametric":[132],"bootstrap":[133],"techniques":[134],"approximate":[138],"interval":[141],"parameter.":[145,166],"simulation":[147],"conducted":[149],"examine":[151],"standard":[156],"deviations,":[157],"Finally,":[167],"three":[168],"real":[169],"applications":[170],"provided.":[178],"One":[179],"them":[181],"considers":[182],"data.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}