{"id":"https://openalex.org/W149091520","doi":null,"title":"Statistical Inference (part II): The Normal and Related Distributions.","display_name":"Statistical Inference (part II): The Normal and Related Distributions.","publication_year":1998,"publication_date":"1998-08-01","ids":{"openalex":"https://openalex.org/W149091520","mag":"149091520","pmid":"https://pubmed.ncbi.nlm.nih.gov/11103005"},"language":"en","primary_location":{"id":"pmid:11103005","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11103005","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases","raw_type":"Journal Article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["pubmed"],"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/A5081545285","display_name":"AA Lopes","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126158947","display_name":"Universidade Federal da Bahia","ror":"https://ror.org/03k3p7647","country_code":"BR","type":"education","lineage":["https://openalex.org/I126158947"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Lopes","raw_affiliation_strings":["Department of Medicine, School of Medicine, Federal University of Bahia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medicine, School of Medicine, Federal University of Bahia","institution_ids":["https://openalex.org/I126158947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081545285"],"corresponding_institution_ids":["https://openalex.org/I126158947"],"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":"2","issue":"4","first_page":"170","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.9101999998092651,"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/T13500","display_name":"Probability and Statistical Research","score":0.9101999998092651,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.06849999725818634,"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/T13797","display_name":"Probabilistic Statistics in Medicine","score":0.008999999612569809,"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/normal-distribution","display_name":"normal distribution","score":0.996999979019165},{"id":"https://openalex.org/keywords/z-distribution","display_name":"z-distribution","score":0.9240000247955322},{"id":"https://openalex.org/keywords/student-s-t-distribution","display_name":"t-distribution","score":0.6320000290870667},{"id":"https://openalex.org/keywords/sampling-distribution","display_name":"sampling distribution","score":0.7519999742507935},{"id":"https://openalex.org/keywords/confidence-intervals","display_name":"confidence intervals","score":0.7049999833106995},{"id":"https://openalex.org/keywords/population-mean-estimation","display_name":"population mean estimation","score":0.7549999952316284},{"id":"https://openalex.org/keywords/proportion","display_name":"proportion","score":0.5630000233650208},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"nonparametric statistics","score":0.9039999842643738},{"id":"https://openalex.org/keywords/exact-algorithms","display_name":"exact algorithms","score":0.8220000267028809},{"id":"https://openalex.org/keywords/probability-distribution-tables","display_name":"probability distribution tables","score":0.4490000009536743}],"concepts":[{"id":"https://openalex.org/C102094743","wikidata":"https://www.wikidata.org/wiki/Q133871","display_name":"Normal distribution","level":2,"score":0.6732006669044495},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6597524881362915},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.6544697880744934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6520218253135681},{"id":"https://openalex.org/C91395904","wikidata":"https://www.wikidata.org/wiki/Q7051756","display_name":"Normal-gamma distribution","level":4,"score":0.6225915551185608},{"id":"https://openalex.org/C57205106","wikidata":"https://www.wikidata.org/wiki/Q3258519","display_name":"Inverse-chi-squared distribution","level":4,"score":0.6172690987586975},{"id":"https://openalex.org/C167723999","wikidata":"https://www.wikidata.org/wiki/Q3773214","display_name":"Sampling distribution","level":2,"score":0.5927731990814209},{"id":"https://openalex.org/C128383985","wikidata":"https://www.wikidata.org/wiki/Q5156926","display_name":"Compound probability distribution","level":4,"score":0.5643836259841919},{"id":"https://openalex.org/C117661179","wikidata":"https://www.wikidata.org/wiki/Q897827","display_name":"Z-test","level":4,"score":0.5499021410942078},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5481753945350647},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.5424100160598755},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.5411789417266846},{"id":"https://openalex.org/C23754336","wikidata":"https://www.wikidata.org/wiki/Q3258414","display_name":"Half-normal distribution","level":4,"score":0.5333006381988525},{"id":"https://openalex.org/C49232408","wikidata":"https://www.wikidata.org/wiki/Q576072","display_name":"Student's t-distribution","level":4,"score":0.4536322057247162},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4528180658817291},{"id":"https://openalex.org/C165480597","wikidata":"https://www.wikidata.org/wiki/Q307557","display_name":"Beta-binomial distribution","level":4,"score":0.42788201570510864},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.42349833250045776},{"id":"https://openalex.org/C160947583","wikidata":"https://www.wikidata.org/wiki/Q2083147","display_name":"Distribution fitting","level":3,"score":0.4051687717437744},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.3100426197052002},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.22792866826057434},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.22246548533439636},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.22044143080711365},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.20758014917373657},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.09493330121040344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0915897786617279},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C91602232","wikidata":"https://www.wikidata.org/wiki/Q756115","display_name":"Volatility (finance)","level":2,"score":0.0},{"id":"https://openalex.org/C23922673","wikidata":"https://www.wikidata.org/wiki/Q180752","display_name":"Autoregressive conditional heteroskedasticity","level":3,"score":0.0},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmid:11103005","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11103005","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Brazilian journal of infectious diseases : an official publication of the Brazilian Society of Infectious Diseases","raw_type":"Journal Article"},{"id":"mag:149091520","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/11103005","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"PubMed","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2138742763","https://openalex.org/W195177936","https://openalex.org/W4411442186","https://openalex.org/W4388907748","https://openalex.org/W4230718854","https://openalex.org/W4226198979","https://openalex.org/W2475476117","https://openalex.org/W4232180982","https://openalex.org/W2904457179","https://openalex.org/W2484940067"],"abstract_inverted_index":{"The":[0,156],"normal":[1,18,51,78,107,122,140,184],"(or":[2],"gaussian)":[3],"is":[4,26,62,125,142,152,159,172,246],"the":[5,11,17,30,50,60,63,70,74,77,88,93,96,102,106,121,131,139,145,148,168,175,183,187,194,206,209,219,232,238,241,244],"most":[6],"important":[7,126],"probability":[8,221],"distribution":[9,19,23,52,79,110,141,158,189,210,242],"in":[10,37,56,229],"statistical":[12,179],"inference":[13,180],"process.":[14],"By":[15],"transforming":[16],"to":[20,28,87,92,99,127,144,161],"a":[21,57,82,134,153,164],"standard":[22,46,66,150,170],"(z-distribution)":[24],"it":[25],"possible":[27],"determine":[29],"probabilities":[31],"where":[32,59,231],"observations":[33],"or":[34,212],"values":[35],"fall":[36],"certain":[38,197],"intervals":[39],"for":[40],"variables":[41],"with":[42,237],"different":[43],"means":[44],"and":[45,90,215],"deviations.":[47],"Areas":[48],"under":[49,76],"may":[53,116,190],"be":[54,118,191],"represented":[55],"table":[58],"z":[61,83],"number":[64],"of":[65,85,95,101,105,111,113,133,186,208,243],"deviations":[67],"away":[68],"from":[69],"mean.":[71],"For":[72],"example,":[73],"area":[75,104],"delimited":[80],"by":[81,120,174],"value":[84],"1.96":[86,91],"left":[89],"right":[94],"mean":[97,136,166],"corresponds":[98],"95%":[100],"total":[103],"distribution.":[108,123],"Sampling":[109],"estimates":[112],"population":[114,135,149,165,169],"parameters":[115],"also":[117],"described":[119],"It":[124],"note,":[128],"however,":[129],"that":[130,147,201,240],"estimation":[132],"based":[137,217],"on":[138,205,218],"conditional":[143],"assumption":[146,239],"deviation":[151,171],"known":[154],"parameter.":[155],"t":[157],"used":[160,192,228],"infer":[162],"about":[163,181],"when":[167],"estimated":[173],"sample":[176],"data.":[177],"In":[178],"proportions,":[182],"approximation":[185],"binomial":[188],"provided":[193],"data":[195,233],"fit":[196],"assumptions.":[198],"Statistical":[199],"methods":[200],"do":[202,234],"not":[203,235],"depend":[204],"form":[207],"(distribution-free":[211],"nonparametric":[213],"methods)":[214],"those":[216],"actual":[220],"distribution,":[222],"called":[223],"exact":[224],"methods,":[225],"are":[226],"often":[227],"situations":[230],"comply":[236],"estimate":[245],"approximately":[247],"normal.":[248]},"counts_by_year":[],"updated_date":"2026-09-09T07:26:56.047234","created_date":"2016-06-24T00:00:00"}
