{"id":"https://openalex.org/W4240963045","doi":"https://doi.org/10.1002/9781118445112.stat04852","title":"Binomial Distribution","display_name":"Binomial Distribution","publication_year":2014,"publication_date":"2014-09-29","ids":{"openalex":"https://openalex.org/W4240963045","doi":"https://doi.org/10.1002/9781118445112.stat04852"},"language":"en","primary_location":{"id":"doi:10.1002/9781118445112.stat04852","doi":"https://doi.org/10.1002/9781118445112.stat04852","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781118445112.stat04852","pdf_url":null,"source":{"id":"https://openalex.org/S4306464293","display_name":"Wiley eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wiley StatsRef: Statistics Reference Online","raw_type":"other"},"volume":{"id":"https://openalex.org/W4288077072","display_name":"Wiley StatsRef: Statistics Reference Online"},"type":"other","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/A5015361059","display_name":"David Wypij","orcid":"https://orcid.org/0000-0001-8367-8711","observed_orcids":["https://orcid.org/0000-0001-8367-8711"]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Wypij","raw_affiliation_strings":["Harvard School of Public Health, Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harvard School of Public Health, Boston, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015361059"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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":0.6406000256538391,"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":0.6406000256538391,"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":0.3522999882698059,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.001500000013038516,"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/binomial-distribution","display_name":"binomial distribution","score":1.0},{"id":"https://openalex.org/keywords/success-probability-estimation","display_name":"success probability estimation","score":0.7049999833106995},{"id":"https://openalex.org/keywords/point-estimation","display_name":"point estimation","score":0.722000002861023},{"id":"https://openalex.org/keywords/confidence-intervals","display_name":"confidence intervals","score":0.9079999923706055},{"id":"https://openalex.org/keywords/hypothesis-testing","display_name":"hypothesis testing","score":0.9259999990463257},{"id":"https://openalex.org/keywords/normal-approximation","display_name":"Gaussian approximation","score":0.9549999833106995},{"id":"https://openalex.org/keywords/poisson-approximation","display_name":"Poisson approximation","score":0.9950000047683716},{"id":"https://openalex.org/keywords/large-sample-approximation","display_name":"large sample approximation","score":0.5410000085830688}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6997144818305969},{"id":"https://openalex.org/C18823086","wikidata":"https://www.wikidata.org/wiki/Q1781424","display_name":"Binomial proportion confidence interval","level":4,"score":0.6803346276283264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6540232300758362},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.6299520134925842},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.621122419834137},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6128865480422974},{"id":"https://openalex.org/C205167067","wikidata":"https://www.wikidata.org/wiki/Q3300636","display_name":"Interval estimation","level":3,"score":0.6066070199012756},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.5844479203224182},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.5602519512176514},{"id":"https://openalex.org/C41426520","wikidata":"https://www.wikidata.org/wiki/Q1192065","display_name":"Point estimation","level":2,"score":0.5516985058784485},{"id":"https://openalex.org/C67417131","wikidata":"https://www.wikidata.org/wiki/Q3258231","display_name":"Poisson binomial distribution","level":5,"score":0.5195091962814331},{"id":"https://openalex.org/C19586110","wikidata":"https://www.wikidata.org/wiki/Q5165416","display_name":"Continuity correction","level":5,"score":0.5066822171211243},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.45343083143234253},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.417568564414978},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40041273832321167},{"id":"https://openalex.org/C165480597","wikidata":"https://www.wikidata.org/wiki/Q307557","display_name":"Beta-binomial distribution","level":4,"score":0.39898329973220825},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.38314688205718994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11852702498435974},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06058719754219055},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/9781118445112.stat04852","doi":"https://doi.org/10.1002/9781118445112.stat04852","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781118445112.stat04852","pdf_url":null,"source":{"id":"https://openalex.org/S4306464293","display_name":"Wiley eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wiley StatsRef: Statistics Reference Online","raw_type":"other"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1526883270","https://openalex.org/W1977258390","https://openalex.org/W1986157381","https://openalex.org/W1988520084","https://openalex.org/W1993775790","https://openalex.org/W2047244997","https://openalex.org/W2092923243","https://openalex.org/W2110093215","https://openalex.org/W2127163097","https://openalex.org/W2137591261","https://openalex.org/W2144661279","https://openalex.org/W2169775947","https://openalex.org/W2318814072","https://openalex.org/W2500735638","https://openalex.org/W4252821048","https://openalex.org/W4296980202"],"related_works":["https://openalex.org/W2277803871","https://openalex.org/W2159440776","https://openalex.org/W1993292979","https://openalex.org/W4236600025","https://openalex.org/W4243575752","https://openalex.org/W3047559030","https://openalex.org/W3004668317","https://openalex.org/W6985766752","https://openalex.org/W7219923744","https://openalex.org/W4254560206"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"binomial":[2],"distribution":[3,27],"refers":[4],"to":[5],"the":[6,26,31,45,63],"number":[7],"of":[8],"successes":[9],"in":[10,20],"n":[11,24,36],"independent":[12],"trials":[13],"with":[14,34],"a":[15],"common":[16],"success":[17],"probability":[18],"p":[19,39,65],"each.":[21],"With":[22],"large":[23,35],",":[25,40],"is":[28,42],"approximated":[29,43],"by":[30,44],"normal,":[32],"and":[33,37,52,59],"small":[38],"it":[41],"Poisson.":[46],"This":[47],"article":[48],"reviews":[49],"its":[50],"properties":[51],"discusses":[53],"point":[54],"estimation,":[55,58],"confidence":[56],"interval":[57],"hypothesis":[60],"testing":[61],"for":[62],"parameter":[64],".":[66],"Extensions":[67],"are":[68],"also":[69],"briefly":[70],"considered.":[71]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2022-05-12T00:00:00"}