{"id":"https://openalex.org/W1998670239","doi":"https://doi.org/10.1017/s0269964800002813","title":"An Improved Lower Bound on the Minimum Expected Number of Binomial Group Tests","display_name":"An Improved Lower Bound on the Minimum Expected Number of Binomial Group Tests","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1998670239","doi":"https://doi.org/10.1017/s0269964800002813","mag":"1998670239"},"language":"en","primary_location":{"id":"doi:10.1017/s0269964800002813","doi":"https://doi.org/10.1017/s0269964800002813","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0269964800002813","pdf_url":null,"source":{"id":"https://openalex.org/S203441484","display_name":"Probability in the Engineering and Informational Sciences","issn_l":"0269-9648","issn":["0269-9648","1469-8951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"Probability in the Engineering and Informational Sciences","raw_type":"journal-article"},"volume":null,"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/A5111401038","display_name":"Julia Abrahams","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I175003984","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57","country_code":"US","type":"government","lineage":["https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Julia Abrahams","raw_affiliation_strings":["Mathematical Sciences Division, Office of Naval Research, Arlington, Virginia 22217-5660"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Division, Office of Naval Research, Arlington, Virginia 22217-5660","institution_ids":["https://openalex.org/I175003984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111401038"],"corresponding_institution_ids":["https://openalex.org/I175003984"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"7","issue":"1","first_page":"121","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.6187000274658203,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.6187000274658203,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.11230000108480453,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12288","display_name":"Optimization and Search Problems","score":0.05480000004172325,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/lower-bounds","display_name":"lower bounds","score":0.6800000071525574},{"id":"https://openalex.org/keywords/expected-number-of-tests","display_name":"expected number of tests","score":0.8949999809265137},{"id":"https://openalex.org/keywords/huffman-coding","display_name":"Huffman coding","score":0.9620000123977661},{"id":"https://openalex.org/keywords/defective-items","display_name":"defective products","score":0.7940000295639038}],"concepts":[{"id":"https://openalex.org/C46900642","wikidata":"https://www.wikidata.org/wiki/Q2647","display_name":"Huffman coding","level":3,"score":0.6630504727363586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6544234156608582},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.6469398140907288},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5916640162467957},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.49627310037612915},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4721790850162506},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4678908884525299},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4269624352455139},{"id":"https://openalex.org/C34718186","wikidata":"https://www.wikidata.org/wiki/Q209875","display_name":"Binomial coefficient","level":2,"score":0.42460909485816956},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41740623116493225},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.2623318135738373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0269964800002813","doi":"https://doi.org/10.1017/s0269964800002813","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0269964800002813","pdf_url":null,"source":{"id":"https://openalex.org/S203441484","display_name":"Probability in the Engineering and Informational Sciences","issn_l":"0269-9648","issn":["0269-9648","1469-8951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"Probability in the Engineering and Informational Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W282517875","https://openalex.org/W2006933411","https://openalex.org/W2006936993","https://openalex.org/W2012661613","https://openalex.org/W2032296381","https://openalex.org/W2060108852"],"related_works":["https://openalex.org/W2006933411","https://openalex.org/W2006067468","https://openalex.org/W2088039541","https://openalex.org/W1973411570","https://openalex.org/W1558827152","https://openalex.org/W2100501629","https://openalex.org/W2006936993","https://openalex.org/W2490203557","https://openalex.org/W1992329592","https://openalex.org/W2005566620"],"abstract_inverted_index":{"The":[0],"minimum":[1],"expected":[2],"number":[3],"of":[4,14],"binomial":[5,30],"group":[6,31],"tests":[7],"is":[8,22,33,41,43],"lower":[9,27],"bounded":[10],"by":[11],"the":[12,25,36],"cost":[13],"a":[15],"particular":[16],"Huffman":[17],"coding":[18],"problem":[19],"whose":[20],"solution":[21],"known.":[23],"Thus,":[24],"information":[26],"bound":[28],"in":[29],"testing":[32],"improved":[34],"when":[35],"probability":[37],"that":[38],"each":[39],"item":[40],"defective":[42],"small.":[44]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}