{"id":"https://openalex.org/W2031769296","doi":"https://doi.org/10.1017/s0963548303005996","title":"Three Sampling Formulas","display_name":"Three Sampling Formulas","publication_year":2004,"publication_date":"2004-03-01","ids":{"openalex":"https://openalex.org/W2031769296","doi":"https://doi.org/10.1017/s0963548303005996","mag":"2031769296"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548303005996","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548303005996","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D5B27D536F7EFD6BFA4364E3CF664950/S0963548303005996a.pdf/div-class-title-three-sampling-formulas-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D5B27D536F7EFD6BFA4364E3CF664950/S0963548303005996a.pdf/div-class-title-three-sampling-formulas-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074737766","display_name":"Alexander Gnedin","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"ALEXANDER V. GNEDIN","raw_affiliation_strings":["Department of Mathematics, Utrecht University, Postbus 80010, 3508 TA Utrecht, The Netherlands (e-mail:","Department of Mathematics, Utrecht University, Postbus 80010, 3508 TA Utrecht, The Netherlands (e-mail: gnedin@math.uu.nl)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Utrecht University, Postbus 80010, 3508 TA Utrecht, The Netherlands (e-mail:","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Department of Mathematics, Utrecht University, Postbus 80010, 3508 TA Utrecht, The Netherlands (e-mail: gnedin@math.uu.nl)#TAB#","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074737766"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":7.0477,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.96497016,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"2","first_page":"185","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.7330327033996582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5716458559036255},{"id":"https://openalex.org/keywords/probability-sampling","display_name":"Probability sampling","score":0.511606752872467},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.43919292092323303},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3828386068344116},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3559480309486389},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3334396481513977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2804343104362488}],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.7330327033996582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5716458559036255},{"id":"https://openalex.org/C2993010571","wikidata":"https://www.wikidata.org/wiki/Q49908","display_name":"Probability sampling","level":3,"score":0.511606752872467},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.43919292092323303},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3828386068344116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3559480309486389},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3334396481513977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2804343104362488},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0963548303005996","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548303005996","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D5B27D536F7EFD6BFA4364E3CF664950/S0963548303005996a.pdf/div-class-title-three-sampling-formulas-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.239.2075","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.2075","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0210319v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.241.3061","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.241.3061","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0210319v2.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1017/s0963548303005996","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548303005996","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D5B27D536F7EFD6BFA4364E3CF664950/S0963548303005996a.pdf/div-class-title-three-sampling-formulas-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031769296.pdf","grobid_xml":"https://content.openalex.org/works/W2031769296.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W263845233","https://openalex.org/W1551893515","https://openalex.org/W2016710671","https://openalex.org/W2037774713","https://openalex.org/W2053218206","https://openalex.org/W2081633216","https://openalex.org/W2090009660","https://openalex.org/W2333495832","https://openalex.org/W4239802573","https://openalex.org/W4253333996"],"related_works":["https://openalex.org/W1590956909","https://openalex.org/W2410123255","https://openalex.org/W2519860588","https://openalex.org/W2276430970","https://openalex.org/W2049205315","https://openalex.org/W2563229190","https://openalex.org/W54997318","https://openalex.org/W4236294962","https://openalex.org/W2088812990","https://openalex.org/W2066126998"],"abstract_inverted_index":{"Sampling":[0],"formulas":[1,25],"describe":[2],"probability":[3],"laws":[4],"of":[5,18,23],"exchangeable":[6],"combinatorial":[7],"structures":[8],"like":[9],"partitions":[10],"and":[11,28],"compositions.":[12],"We":[13],"give":[14],"a":[15,30],"brief":[16],"account":[17],"two":[19],"known":[20],"parametric":[21],"families":[22],"sampling":[24],"for":[26],"compositions":[27],"add":[29],"new":[31],"family":[32],"to":[33],"the":[34],"list.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
