{"id":"https://openalex.org/W2342086143","doi":"https://doi.org/10.1080/03610918.2015.1109656","title":"Best linear unbiased interpolation of order statistics","display_name":"Best linear unbiased interpolation of order statistics","publication_year":2015,"publication_date":"2015-11-05","ids":{"openalex":"https://openalex.org/W2342086143","doi":"https://doi.org/10.1080/03610918.2015.1109656","mag":"2342086143"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2015.1109656","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1109656","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/A5089835856","display_name":"Isaac Almas\u0131","orcid":"https://orcid.org/0009-0005-4639-4505"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Isaac Almasi","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics & Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics & Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053045356","display_name":"Adel Mohammadpour","orcid":"https://orcid.org/0000-0002-5079-7025"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Adel Mohammadpour","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics & Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics & Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101834835","display_name":"Mohammad Mohammadi","orcid":"https://orcid.org/0000-0002-8257-8169"},"institutions":[{"id":"https://openalex.org/I183697816","display_name":"Bangladesh University of Engineering and Technology","ror":"https://ror.org/05a1qpv97","country_code":"BD","type":"education","lineage":["https://openalex.org/I183697816"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Mohammad Mohammadi","raw_affiliation_strings":["Department of Statistics, Faculty of Basic Science, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Basic Science, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran","institution_ids":["https://openalex.org/I183697816"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089835856"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":null,"apc_paid":null,"fwci":0.3444,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69355421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":1.0,"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":1.0,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9983999729156494,"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":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6680136919021606},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.6063698530197144},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.5760813355445862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5374780893325806},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5262973308563232},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.48737698793411255},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.47524380683898926},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.4156757891178131},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3917226791381836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3541620969772339},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.144133061170578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0780792236328125}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6680136919021606},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.6063698530197144},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.5760813355445862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5374780893325806},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5262973308563232},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.48737698793411255},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.47524380683898926},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.4156757891178131},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3917226791381836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3541620969772339},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.144133061170578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0780792236328125},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2015.1109656","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1109656","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1972302252","https://openalex.org/W1998047561","https://openalex.org/W2004429141","https://openalex.org/W2015813313","https://openalex.org/W2027429719","https://openalex.org/W2049633694","https://openalex.org/W2140971281","https://openalex.org/W2143418528","https://openalex.org/W2318245334"],"related_works":["https://openalex.org/W4380150146","https://openalex.org/W3024870410","https://openalex.org/W2410652950","https://openalex.org/W2904683338","https://openalex.org/W2511265471","https://openalex.org/W2003768768","https://openalex.org/W1994253012","https://openalex.org/W2592613065","https://openalex.org/W2036166080","https://openalex.org/W3133661354"],"abstract_inverted_index":{"ABSTRACTWe":[0],"derive":[1],"the":[2,8,17,27,46,93],"best":[3],"linear":[4,61],"unbiased":[5,62],"interpolation":[6,23,52,63],"for":[7,54,85],"missing":[9,36],"order":[10,37],"statistics":[11],"of":[12,34],"a":[13,35,50],"random":[14],"sample":[15],"using":[16],"well-known":[18],"projection":[19],"theorem.":[20],"The":[21],"proposed":[22,47],"method":[24,48],"only":[25],"needs":[26],"first":[28],"two":[29],"moments":[30],"on":[31],"both":[32],"sides":[33],"statistic.":[38],"A":[39],"simulation":[40],"study":[41],"is":[42],"performed":[43],"to":[44,76,91],"compare":[45],"with":[49],"few":[51],"methods":[53],"exponential":[55],"and":[56,81,89],"L\u00e9vy":[57],"distributions.KEYWORDS:":[58],"Bayesian":[59],"reconstructionBest":[60],"or":[64],"predictionHilbert":[65],"spaceImputationOrder":[66],"statisticsProjection":[67],"theoremMATHEMATICS":[68],"SUBJECT":[69],"CLASSIFICATION:":[70],"62G3060G25":[71],"AcknowledgmentsThe":[72],"authors":[73],"would":[74],"like":[75],"thank":[77],"an":[78,82],"anonymous":[79],"reviewer":[80],"associate":[83],"editor":[84],"their":[86],"corrections,":[87],"comments,":[88],"suggestions":[90],"improve":[92],"manuscript.":[94]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
