{"id":"https://openalex.org/W2183074490","doi":null,"title":"Approximate Confidence Intervals for a Parameter of the Negative Hypergeometric Distribution","display_name":"Approximate Confidence Intervals for a Parameter of the Negative Hypergeometric Distribution","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2183074490","mag":"2183074490"},"language":"en","primary_location":{"id":"mag:2183074490","doi":null,"is_oa":false,"landing_page_url":"https://www.amstat.org/sections/srms/Proceedings/y2011/Files/301179_66064.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5100434028","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0003-2343-084X","observed_orcids":["https://orcid.org/0000-0003-2343-084X","https://orcid.org/0000-0002-4593-9543","https://orcid.org/0000-0003-4117-7825","https://orcid.org/0009-0001-3187-4531","https://orcid.org/0009-0002-9176-3478"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lei Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004551947","display_name":"William D. Johnson","orcid":"https://orcid.org/0000-0002-3823-4094","observed_orcids":["https://orcid.org/0000-0002-3823-4094"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William D. Johnson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3823-4094","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2807,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66960718,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.5234000086784363,"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":0.5234000086784363,"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/T13500","display_name":"Probability and Statistical Research","score":0.4413999915122986,"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/T13030","display_name":"Survey Sampling and Estimation Techniques","score":0.02070000022649765,"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/negative-hypergeometric-distribution","display_name":"negative hypergeometric distribution","score":1.0},{"id":"https://openalex.org/keywords/confidence-intervals","display_name":"confidence intervals","score":0.9549999833106995},{"id":"https://openalex.org/keywords/inverse-sampling","display_name":"inverse sampling","score":0.6639999747276306},{"id":"https://openalex.org/keywords/sampling-without-replacement","display_name":"sampling without replacement","score":0.8399999737739563},{"id":"https://openalex.org/keywords/finite-population","display_name":"finite population","score":0.7670000195503235},{"id":"https://openalex.org/keywords/maximum-likelihood-estimator","display_name":"maximum likelihood estimator","score":0.8339999914169312},{"id":"https://openalex.org/keywords/unbiased-estimators","display_name":"unbiased estimators","score":0.9919999837875366},{"id":"https://openalex.org/keywords/variance-estimation","display_name":"variance estimation","score":0.8529999852180481},{"id":"https://openalex.org/keywords/taylor-expansion","display_name":"Taylor series expansion","score":0.8939999938011169},{"id":"https://openalex.org/keywords/coverage-probability","display_name":"coverage probability","score":0.8859999775886536},{"id":"https://openalex.org/keywords/interval-length","display_name":"interval length","score":0.6940000057220459}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8076910972595215},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.7302699685096741},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.6480246782302856},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6467450261116028},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.577322244644165},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.5191971063613892},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.512612521648407},{"id":"https://openalex.org/C35594927","wikidata":"https://www.wikidata.org/wiki/Q2265984","display_name":"Efficient estimator","level":4,"score":0.4778865575790405},{"id":"https://openalex.org/C41426520","wikidata":"https://www.wikidata.org/wiki/Q1192065","display_name":"Point estimation","level":2,"score":0.4731365740299225},{"id":"https://openalex.org/C164172150","wikidata":"https://www.wikidata.org/wiki/Q1782585","display_name":"Consistent estimator","level":4,"score":0.4644937813282013},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.451416015625}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2183074490","doi":null,"is_oa":false,"landing_page_url":"https://www.amstat.org/sections/srms/Proceedings/y2011/Files/301179_66064.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W137653784","https://openalex.org/W2024079492","https://openalex.org/W2062175940","https://openalex.org/W2064975723"],"related_works":["https://openalex.org/W2088981615","https://openalex.org/W7113307593","https://openalex.org/W2082698723","https://openalex.org/W4405378614","https://openalex.org/W300242454","https://openalex.org/W3011969591","https://openalex.org/W2116868989","https://openalex.org/W2566601826","https://openalex.org/W2350003985","https://openalex.org/W2353851387"],"abstract_inverted_index":{"The":[0,166],"negative":[1,139],"hypergeometric":[2,140],"distribution":[3],"is":[4,22,30,51,65,73,169],"of":[5,9,45,47,60,70,79,101,111,135,145,147,156,159,185,206,219],"interest":[6],"in":[7,62,154,217],"applications":[8],"inverse":[10],"sampling":[11,26,29],"without":[12],"replacement":[13],"from":[14,137],"a":[15,19,39,42,132,170,214],"finite":[16],"population":[17,64],"where":[18],"binary":[20],"observation":[21],"made":[23],"on":[24,127,194],"each":[25,71],"unit.":[27],"Thus,":[28],"performed":[31],"by":[32,182],"randomly":[33],"choosing":[34],"units":[35,61],"sequentially":[36],"one":[37,46],"at":[38,213],"time":[40],"until":[41],"specified":[43],"number":[44,59,69,134],"the":[48,54,57,63,68,77,86,95,99,109,112,124,176,188,195],"two":[49,203],"types":[50],"selected":[52],"for":[53,94,108,123],"sample.":[55],"Assuming":[56],"total":[58],"known":[66],"but":[67,212],"type":[72],"not,":[74],"we":[75,130],"consider":[76],"problem":[78],"estimating":[80],"this":[81],"unknown":[82],"parameter.":[83,96,125,190],"We":[84,97,115,150],"investigate":[85,143],"maximum":[87,177],"likelihood":[88,178],"estimator":[89,93,168,173,179,197,211],"and":[90,162],"an":[91],"unbiased":[92,167,196],"use":[98],"method":[100],"Taylor\u2019s":[102],"series":[103],"to":[104,142,175,187,199],"develop":[105],"five":[106,118],"approximations":[107],"variance":[110,210],"parameter":[113,160],"estimators.":[114],"then":[116],"propose":[117],"large":[119,133],"sample":[120],"confidence":[121,163],"intervals":[122,192],"Based":[126],"these":[128,148],"results,":[129],"simulated":[131],"samples":[136],"various":[138],"distributions":[141],"performance":[144,153],"three":[146],"formulas.":[149],"evaluate":[151],"their":[152],"terms":[155,218],"empirical":[157,183],"probability":[158],"coverage":[161,220],"interval":[164],"length.":[165],"better":[171],"point":[172],"relative":[174],"as":[180],"evidenced":[181],"estimates":[184],"closeness":[186],"true":[189],"Confidence":[191],"based":[193],"tended":[198],"be":[200],"shorter":[201],"than":[202],"competitors":[204],"because":[205],"its":[207],"relatively":[208],"small":[209],"slight":[215],"cost":[216],"probability.":[221]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2016-06-24T00:00:00"}
