{"id":"https://openalex.org/W3015769041","doi":"https://doi.org/10.1080/03610918.2020.1748887","title":"A parent-generalized family of chain ratio exponential estimators in stratified random sampling using supplementary variables","display_name":"A parent-generalized family of chain ratio exponential estimators in stratified random sampling using supplementary variables","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W3015769041","doi":"https://doi.org/10.1080/03610918.2020.1748887","mag":"3015769041"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2020.1748887","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1748887","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/A5086997161","display_name":"Siraj Muneer","orcid":"https://orcid.org/0000-0002-2713-379X"},"institutions":[{"id":"https://openalex.org/I36001604","display_name":"University of Peshawar","ror":"https://ror.org/02t2qwf81","country_code":"PK","type":"education","lineage":["https://openalex.org/I36001604"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Siraj Muneer","raw_affiliation_strings":["Department of Statistics, University of Peshawar, Peshawar, Pakistan;"],"raw_orcid":"https://orcid.org/0000-0002-2713-379X","affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Peshawar, Peshawar, Pakistan;","institution_ids":["https://openalex.org/I36001604"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048430604","display_name":"Alamgir Khalil","orcid":"https://orcid.org/0000-0002-0935-3641"},"institutions":[{"id":"https://openalex.org/I36001604","display_name":"University of Peshawar","ror":"https://ror.org/02t2qwf81","country_code":"PK","type":"education","lineage":["https://openalex.org/I36001604"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Alamgir Khalil","raw_affiliation_strings":["Department of Statistics, University of Peshawar, Peshawar, Pakistan;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Peshawar, Peshawar, Pakistan;","institution_ids":["https://openalex.org/I36001604"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076420598","display_name":"Javid Shabbir","orcid":"https://orcid.org/0000-0002-0035-7072"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Javid Shabbir","raw_affiliation_strings":["Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-0035-7072","affiliations":[{"raw_affiliation_string":"Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086997161"],"corresponding_institution_ids":["https://openalex.org/I36001604"],"apc_list":null,"apc_paid":null,"fwci":1.9858,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87563347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"51","issue":"8","first_page":"4727","last_page":"4748"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13030","display_name":"Survey Sampling and Estimation Techniques","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/T13030","display_name":"Survey Sampling and Estimation Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8760128021240234},{"id":"https://openalex.org/keywords/stratified-sampling","display_name":"Stratified sampling","score":0.8016880750656128},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6746048331260681},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.6495067477226257},{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.6474308371543884},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6267758011817932},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5361658334732056},{"id":"https://openalex.org/keywords/population-mean","display_name":"Population mean","score":0.4357195496559143},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4205077886581421},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4131413698196411},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4130017161369324},{"id":"https://openalex.org/keywords/ratio-estimator","display_name":"Ratio estimator","score":0.41065818071365356},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.35062289237976074},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33540546894073486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19397372007369995},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.09848767518997192},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09720063209533691},{"id":"https://openalex.org/keywords/efficient-estimator","display_name":"Efficient estimator","score":0.07924002408981323},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07147619128227234}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8760128021240234},{"id":"https://openalex.org/C49898467","wikidata":"https://www.wikidata.org/wiki/Q1517706","display_name":"Stratified sampling","level":2,"score":0.8016880750656128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6746048331260681},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.6495067477226257},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.6474308371543884},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6267758011817932},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5361658334732056},{"id":"https://openalex.org/C2993060064","wikidata":"https://www.wikidata.org/wiki/Q49918","display_name":"Population mean","level":3,"score":0.4357195496559143},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4205077886581421},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4131413698196411},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4130017161369324},{"id":"https://openalex.org/C118248890","wikidata":"https://www.wikidata.org/wiki/Q7295738","display_name":"Ratio estimator","level":5,"score":0.41065818071365356},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.35062289237976074},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33540546894073486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19397372007369995},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.09848767518997192},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09720063209533691},{"id":"https://openalex.org/C35594927","wikidata":"https://www.wikidata.org/wiki/Q2265984","display_name":"Efficient estimator","level":4,"score":0.07924002408981323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07147619128227234},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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:10.1080/03610918.2020.1748887","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2020.1748887","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1568369958","https://openalex.org/W1599939973","https://openalex.org/W1903849943","https://openalex.org/W1982477530","https://openalex.org/W2027272270","https://openalex.org/W2029685080","https://openalex.org/W2036169468","https://openalex.org/W2045721067","https://openalex.org/W2050081880","https://openalex.org/W2057217931","https://openalex.org/W2062523657","https://openalex.org/W2081857943","https://openalex.org/W2093535616","https://openalex.org/W2111810648","https://openalex.org/W2115282160","https://openalex.org/W2135795844","https://openalex.org/W2159844562","https://openalex.org/W2162660442","https://openalex.org/W2317757007","https://openalex.org/W2509948107","https://openalex.org/W2528753846","https://openalex.org/W2592235943","https://openalex.org/W2883240449"],"related_works":["https://openalex.org/W2730275936","https://openalex.org/W148593058","https://openalex.org/W2026942519","https://openalex.org/W1749001035","https://openalex.org/W4386422561","https://openalex.org/W3186215880","https://openalex.org/W4319150985","https://openalex.org/W1977612190","https://openalex.org/W3012536926","https://openalex.org/W2589760165"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"propose":[4],"a":[5],"parent-generalized":[6],"family":[7,33,38,67,75],"of":[8,39,60,68,71,76],"chain":[9,43,45,47,51],"exponential":[10,48,52],"ratio":[11,49],"type":[12,54],"estimators":[13,55,61,77],"in":[14],"stratified":[15],"random":[16],"sampling":[17],"to":[18],"estimate":[19],"the":[20,36,65,72],"finite":[21],"population":[22],"mean":[23],"using":[24,83],"known":[25],"information":[26],"on":[27],"two":[28],"supplementary":[29],"variables.":[30],"The":[31],"proposed":[32,66,73],"covered":[34],"all":[35],"well-known":[37],"existing":[40],"ratio,":[41,44],"product,":[42,46],"and":[50,56,81,86],"product":[53],"some":[57],"new":[58],"families":[59],"are":[62,78],"generated":[63],"from":[64],"estimators.":[69],"Properties":[70],"parent":[74],"studied":[79],"theoretically":[80],"empirically":[82],"real":[84],"data":[85],"simulation":[87],"study.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}