{"id":"https://openalex.org/W7204238640","doi":"https://doi.org/10.1080/08898480.2026.2702393","title":"Two new families of estimators for the population mean under stratified random sampling using an auxiliary attribute","display_name":"Two new families of estimators for the population mean under stratified random sampling using an auxiliary attribute","publication_year":2026,"publication_date":"2026-08-26","ids":{"openalex":"https://openalex.org/W7204238640","doi":"https://doi.org/10.1080/08898480.2026.2702393"},"language":"en","primary_location":{"id":"doi:10.1080/08898480.2026.2702393","doi":"https://doi.org/10.1080/08898480.2026.2702393","is_oa":false,"landing_page_url":"https://doi.org/10.1080/08898480.2026.2702393","pdf_url":null,"source":{"id":"https://openalex.org/S176781058","display_name":"Mathematical Population Studies","issn_l":"0889-8480","issn":["0889-8480","1547-724X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Population Studies","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7204238640"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5111625088","display_name":"Housila P. Singh","orcid":"https://orcid.org/0000-0002-7816-9936","observed_orcids":["https://orcid.org/0000-0002-7816-9936"]},"institutions":[{"id":"https://openalex.org/I86381314","display_name":"Vikram University","ror":"https://ror.org/002k8gm39","country_code":"IN","type":"education","lineage":["https://openalex.org/I86381314"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Housila P. Singh","raw_affiliation_strings":["Vikram University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vikram University","institution_ids":["https://openalex.org/I86381314"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109655262","display_name":"Manish Trivedi","orcid":"https://orcid.org/0000-0002-4615-1408","observed_orcids":["https://orcid.org/0000-0002-4615-1408"]},"institutions":[{"id":"https://openalex.org/I51969498","display_name":"Indira Gandhi National Open University","ror":"https://ror.org/02fzfx471","country_code":"IN","type":"education","lineage":["https://openalex.org/I51969498"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Manish Trivedi","raw_affiliation_strings":["Indira Gandhi National Open University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indira Gandhi National Open University","institution_ids":["https://openalex.org/I51969498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103626926","display_name":"Hemanta Kumar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I51969498","display_name":"Indira Gandhi National Open University","ror":"https://ror.org/02fzfx471","country_code":"IN","type":"education","lineage":["https://openalex.org/I51969498"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Hemanta Kumar","raw_affiliation_strings":["Indira Gandhi National Open University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indira Gandhi National Open University","institution_ids":["https://openalex.org/I51969498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102722043","display_name":"Neha Garg","orcid":"https://orcid.org/0000-0003-3123-1832","observed_orcids":["https://orcid.org/0000-0003-3123-1832"]},"institutions":[{"id":"https://openalex.org/I51969498","display_name":"Indira Gandhi National Open University","ror":"https://ror.org/02fzfx471","country_code":"IN","type":"education","lineage":["https://openalex.org/I51969498"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Neha Garg","raw_affiliation_strings":["Indira Gandhi National Open University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indira Gandhi National Open University","institution_ids":["https://openalex.org/I51969498"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109655262"],"corresponding_institution_ids":["https://openalex.org/I51969498"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"33"},"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"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T13546","display_name":"Census and Population Estimation","score":0.0,"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/population-mean-estimation","display_name":"population mean estimation","score":0.9570000171661377},{"id":"https://openalex.org/keywords/stratified-sampling","display_name":"stratified sampling","score":0.9950000047683716},{"id":"https://openalex.org/keywords/auxiliary-attribute","display_name":"auxiliary attribute","score":0.9810000061988831},{"id":"https://openalex.org/keywords/ratio-type-estimators","display_name":"ratio-type estimators","score":0.7139999866485596},{"id":"https://openalex.org/keywords/bias-and-mean-squared-error","display_name":"bias and mean squared error","score":0.8880000114440918},{"id":"https://openalex.org/keywords/optimal-estimators","display_name":"optimal estimators","score":0.6880000233650208},{"id":"https://openalex.org/keywords/survey-sampling-estimators","display_name":"survey sampling estimators","score":0.4749999940395355}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.881600022315979},{"id":"https://openalex.org/C2993060064","wikidata":"https://www.wikidata.org/wiki/Q49918","display_name":"Population mean","level":3,"score":0.8320000171661377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8116000294685364},{"id":"https://openalex.org/C49898467","wikidata":"https://www.wikidata.org/wiki/Q1517706","display_name":"Stratified sampling","level":2,"score":0.8027999997138977},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.667900025844574},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6492999792098999},{"id":"https://openalex.org/C20353970","wikidata":"https://www.wikidata.org/wiki/Q1056998","display_name":"Simple random sample","level":3,"score":0.5174000263214111},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5077000260353088},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.5065000057220459},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4668000042438507},{"id":"https://openalex.org/C75373757","wikidata":"https://www.wikidata.org/wiki/Q7410160","display_name":"Sampling design","level":3,"score":0.4296000003814697},{"id":"https://openalex.org/C181243257","wikidata":"https://www.wikidata.org/wiki/Q1693522","display_name":"Sample mean and sample covariance","level":3,"score":0.38019999861717224},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C118248890","wikidata":"https://www.wikidata.org/wiki/Q7295738","display_name":"Ratio estimator","level":5,"score":0.3375999927520752},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C68805675","wikidata":"https://www.wikidata.org/wiki/Q5422477","display_name":"Extremum estimator","level":4,"score":0.2711000144481659},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.2667999863624573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2651999890804291},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C17648541","wikidata":"https://www.wikidata.org/wiki/Q2265984","display_name":"Efficiency","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/08898480.2026.2702393","doi":"https://doi.org/10.1080/08898480.2026.2702393","is_oa":false,"landing_page_url":"https://doi.org/10.1080/08898480.2026.2702393","pdf_url":null,"source":{"id":"https://openalex.org/S176781058","display_name":"Mathematical Population Studies","issn_l":"0889-8480","issn":["0889-8480","1547-724X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Population Studies","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1982889785","https://openalex.org/W2026319131","https://openalex.org/W2050081880","https://openalex.org/W2068744082","https://openalex.org/W2111810648","https://openalex.org/W2135416135","https://openalex.org/W2162660442","https://openalex.org/W2508227036","https://openalex.org/W2546981816","https://openalex.org/W2939432246","https://openalex.org/W2949175434","https://openalex.org/W3024528407","https://openalex.org/W3035867070"],"related_works":["https://openalex.org/W4389576610","https://openalex.org/W2111810648","https://openalex.org/W4381943504","https://openalex.org/W3115683241","https://openalex.org/W1980045162","https://openalex.org/W2184213950","https://openalex.org/W3211703532","https://openalex.org/W2476975008","https://openalex.org/W2963558879","https://openalex.org/W2181672480"],"abstract_inverted_index":{"The":[0,50,91],"paper":[1],"addresses":[2],"the":[3,7,12,17,34,53,60,70,81,108,119],"problem":[4],"of":[5,11,19,31,59,63,73,84,93,95,107],"estimating":[6],"population":[8,35],"mean":[9,56,88],"Y":[10,15],"study":[13],"variable":[14],"in":[16,45],"presence":[18],"an":[20,40],"auxiliary":[21,41],"attribute":[22],"f":[23],"under":[24,79],"stratified":[25,47],"random":[26],"sampling.":[27],"Two":[28],"general":[29],"families":[30,62,83,92],"estimators":[32,64,85,94],"for":[33,52],"mean,":[36],"using":[37],"information":[38],"on":[39],"attribute,":[42],"are":[43,77,105],"proposed":[44,61,82,109],"a":[46],"sampling":[48],"scheme.":[49],"expressions":[51],"bias":[54],"and":[55,100,102],"squared":[57,89],"error":[58],"have":[65,86],"been":[66],"derived":[67],"up":[68],"to":[69,117],"first":[71],"order":[72],"approximation.":[74],"Optimal":[75],"conditions":[76],"obtained":[78],"which":[80],"minimum":[87],"errors.":[90],"Shahzad":[96],"et":[97],"al.":[98],"(2019)":[99],"Zaman":[101],"Kadilar":[103],"(2020)":[104],"members":[106],"families.":[110],"A":[111],"numerical":[112],"illustration":[113],"is":[114],"also":[115],"provided":[116],"support":[118],"theoretical":[120],"findings.":[121]},"counts_by_year":[],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2026-08-27T00:00:00"}
