{"id":"https://openalex.org/W2889275677","doi":"https://doi.org/10.1080/03610918.2018.1468462","title":"Parameter estimation by minimizing a probability generating function-based power divergence","display_name":"Parameter estimation by minimizing a probability generating function-based power divergence","publication_year":2018,"publication_date":"2018-08-30","ids":{"openalex":"https://openalex.org/W2889275677","doi":"https://doi.org/10.1080/03610918.2018.1468462","mag":"2889275677"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2018.1468462","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1468462","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/A5103730661","display_name":"Seow Yian Tay","orcid":null},"institutions":[{"id":"https://openalex.org/I33849332","display_name":"University of Malaya","ror":"https://ror.org/00rzspn62","country_code":"MY","type":"education","lineage":["https://openalex.org/I33849332"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"S. Y. Tay","raw_affiliation_strings":["Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia;"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia;","institution_ids":["https://openalex.org/I33849332"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013074718","display_name":"Choung Min Ng","orcid":"https://orcid.org/0000-0003-0157-2732"},"institutions":[{"id":"https://openalex.org/I33849332","display_name":"University of Malaya","ror":"https://ror.org/00rzspn62","country_code":"MY","type":"education","lineage":["https://openalex.org/I33849332"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"C. M. Ng","raw_affiliation_strings":["Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia;"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia;","institution_ids":["https://openalex.org/I33849332"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082319607","display_name":"S. H. Ong","orcid":"https://orcid.org/0000-0002-4288-7637"},"institutions":[{"id":"https://openalex.org/I33849332","display_name":"University of Malaya","ror":"https://ror.org/00rzspn62","country_code":"MY","type":"education","lineage":["https://openalex.org/I33849332"]},{"id":"https://openalex.org/I55285296","display_name":"UCSI University","ror":"https://ror.org/019787q29","country_code":"MY","type":"education","lineage":["https://openalex.org/I55285296"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"S. H. Ong","raw_affiliation_strings":["Department of Actuarial Science and Applied Statistics, UCSI University, Kuala Lumpur, Malaysia","Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia;"],"affiliations":[{"raw_affiliation_string":"Department of Actuarial Science and Applied Statistics, UCSI University, Kuala Lumpur, Malaysia","institution_ids":["https://openalex.org/I55285296"]},{"raw_affiliation_string":"Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia;","institution_ids":["https://openalex.org/I33849332"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013074718"],"corresponding_institution_ids":["https://openalex.org/I33849332"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.10253469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"48","issue":"10","first_page":"2898","last_page":"2912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980000257492065,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980000257492065,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9921000003814697,"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/T11236","display_name":"Control Systems and Identification","score":0.9878000020980835,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7653844356536865},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7358098030090332},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6438041925430298},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6313384175300598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5720517039299011},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5553059577941895},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.542671799659729},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4986424446105957},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4877934753894806},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34381043910980225}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7653844356536865},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7358098030090332},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6438041925430298},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6313384175300598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5720517039299011},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5553059577941895},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.542671799659729},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4986424446105957},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4877934753894806},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34381043910980225},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/03610918.2018.1468462","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2018.1468462","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"},{"id":"pmh:oai:eprints.um.edu.my:23270","is_oa":false,"landing_page_url":"http://eprints.um.edu.my/23270/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400330","display_name":"The University of Malaya Research Repository (University of Malaya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I33849332","host_organization_name":"University of Malaya","host_organization_lineage":["https://openalex.org/I33849332"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6668987783","display_name":null,"funder_award_id":"FP014-2012A","funder_id":"https://openalex.org/F4320321709","funder_display_name":"Ministry of Higher Education, Malaysia"},{"id":"https://openalex.org/G8777238386","display_name":null,"funder_award_id":"FP045-2015A","funder_id":"https://openalex.org/F4320321709","funder_display_name":"Ministry of Higher Education, Malaysia"}],"funders":[{"id":"https://openalex.org/F4320321709","display_name":"Ministry of Higher Education, Malaysia","ror":"https://ror.org/05mcs2t73"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1482672413","https://openalex.org/W1965555277","https://openalex.org/W2006681603","https://openalex.org/W2046033161","https://openalex.org/W2063286823","https://openalex.org/W2064518784","https://openalex.org/W2066376273","https://openalex.org/W2067653203","https://openalex.org/W2084238990","https://openalex.org/W2091000156","https://openalex.org/W2093130286","https://openalex.org/W2117890631","https://openalex.org/W2277427796","https://openalex.org/W2314900690","https://openalex.org/W2463051692","https://openalex.org/W2797935857","https://openalex.org/W4229575167"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W4403822433","https://openalex.org/W4366700029","https://openalex.org/W4285230481","https://openalex.org/W4385769873","https://openalex.org/W4396824790","https://openalex.org/W3208095355","https://openalex.org/W4281634296","https://openalex.org/W4319161863","https://openalex.org/W2371687270"],"abstract_inverted_index":{"Generating":[0],"function-based":[1],"statistical":[2],"inference":[3],"is":[4,13,51],"an":[5],"attractive":[6],"approach":[7],"if":[8],"the":[9,18,43,54,59,77,87],"probability":[10,31],"(density)":[11],"function":[12,33],"complicated":[14],"when":[15],"compared":[16],"with":[17,37],"generating":[19,32],"function.":[20],"Here,":[21],"we":[22],"propose":[23],"a":[24,30,38],"parameter":[25,40,69,89],"estimation":[26,79],"method":[27,80],"that":[28],"minimizes":[29],"(pgf)-based":[34],"power":[35],"divergence":[36],"tuning":[39,88],"to":[41,53],"mitigate":[42],"impact":[44],"of":[45,61,68,86],"data":[46,91],"contamination.":[47],"The":[48],"proposed":[49,78],"estimator":[50],"linked":[52],"M-estimators":[55],"and":[56,63,71],"hence":[57],"possesses":[58],"properties":[60],"consistency":[62],"asymptotic":[64],"normality.":[65],"In":[66],"terms":[67],"biases":[70],"mean":[72],"squared":[73],"errors":[74],"from":[75],"simulations,":[76],"performs":[81],"better":[82],"for":[83],"smaller":[84],"value":[85],"as":[90],"contamination":[92],"percentage":[93],"increases.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}