{"id":"https://openalex.org/W2010525448","doi":"https://doi.org/10.1093/biomet/44.3-4.454","title":"STATISTICAL ANALYSIS USING LOCAL PROPERTIES OF SMOOTHLY HETEROMORPHIC STOCHASTIC SERIES","display_name":"STATISTICAL ANALYSIS USING LOCAL PROPERTIES OF SMOOTHLY HETEROMORPHIC STOCHASTIC SERIES","publication_year":1957,"publication_date":"1957-12-01","ids":{"openalex":"https://openalex.org/W2010525448","doi":"https://doi.org/10.1093/biomet/44.3-4.454","mag":"2010525448"},"language":"en","primary_location":{"id":"doi:10.1093/biomet/44.3-4.454","doi":"https://doi.org/10.1093/biomet/44.3-4.454","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/44.3-4.454","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},"volume":null,"type":"article","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/A5083285109","display_name":"Geoffrey H. Jowett","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"G. H. JOWETT","raw_affiliation_strings":["Department of Statistics, University of Sheffield"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Sheffield","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083285109"],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":{"value":2724,"currency":"GBP","value_usd":3592},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.27272727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"44","issue":"3-4","first_page":"454","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.41019999980926514,"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"}},"topics":[{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.41019999980926514,"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"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.32030001282691956,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.12549999356269836,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/local-statistics","display_name":"local statistics","score":0.7250000238418579},{"id":"https://openalex.org/keywords/sampling-properties","display_name":"sampling properties","score":0.8809999823570251},{"id":"https://openalex.org/keywords/standard-errors","display_name":"standard errors","score":0.8849999904632568},{"id":"https://openalex.org/keywords/trend-estimation","display_name":"trend estimation","score":0.38499999046325684}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.837059497833252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.798369824886322},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.48133644461631775},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.43198055028915405},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.42721468210220337},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.4196149706840515},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.39727669954299927},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36814457178115845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14633721113204956},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/biomet/44.3-4.454","doi":"https://doi.org/10.1093/biomet/44.3-4.454","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/44.3-4.454","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},{"id":"doi:10.2307/2332876","doi":"https://doi.org/10.2307/2332876","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2332876","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.982.6982","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.982.6982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://biomet.oxfordjournals.org/content/44/3-4/454.full.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2056156950","https://openalex.org/W2063730763","https://openalex.org/W2799409632","https://openalex.org/W2800214554","https://openalex.org/W2800839471","https://openalex.org/W2904633336"],"related_works":["https://openalex.org/W1919101720","https://openalex.org/W4390822878","https://openalex.org/W96888382","https://openalex.org/W2041308758","https://openalex.org/W4386126592","https://openalex.org/W4392529072","https://openalex.org/W2951907088","https://openalex.org/W2622688551","https://openalex.org/W1550175370","https://openalex.org/W1990205660"],"abstract_inverted_index":{"SUMMARY.":[0],"A":[1],"widening":[2],"of":[3,6,12,23,29,34,45,85,91,107,115,130,134,143,152,167,189,205,214,233,252,258],"the":[4,10,24,27,71,74,77,82,102,108,124,131,139,144,150,153,163,170,187,193,215,236,246,250,261],"oonoept":[5],"stationarity":[7],"leads":[8],"to":[9,57,122,148,199],"concepts":[11],"smooth":[13],"hetero-morphy":[14],"and":[15,80,155,202,211],"local":[16,46,89],"homomorphy":[17],"in":[18,48,93,169,183,255],"stochastic":[19,50,96],"series,":[20,132],"obviating":[21],"much":[22],"need":[25],"for":[26,42,159,219],"introduction":[28],"trend":[30],"into":[31],"structural":[32],"specifications":[33],"statistical":[35],"data.":[36],"It":[37],"is":[38,119,180],"shown":[39],"that":[40,76],"formulae":[41],"sampling":[43,78],"properties":[44,106,142,239],"statistics":[47,86],"stationary":[49,94],"series":[51,58,97,109,171,190,234],"are":[52,136,176,195],"applicable":[53],"as":[54],"they":[55],"stand":[56],"having":[59,235],"these":[60],"less":[61],"restricted":[62],"properties.":[63],"1.":[64],"INTBODUCTION":[65],"In":[66,111,243],"a":[67,256],"recent":[68,244],"paper":[69],"(1955a)":[70],"author":[72,247],"established":[73],"principle":[75,179,254],"properties,":[79,208],"notably":[81],"standard":[83],"errors,":[84],"constructed":[87],"from":[88,101,230],"comparisons":[90],"terms":[92,168],"normal":[95],"were":[98],"approximately":[99],"deducible":[100],"short":[103,160,198,220,231],"term":[104],"variational":[105,141,207,238],"themselves.":[110],"making":[112],"practical":[113,185],"use":[114],"such":[116],"statistics,":[117],"it":[118,146],"not":[120],"necessary":[121],"know":[123,149],"mean,":[125],"variance,":[126],"or":[127],"serial":[128,154],"correlations":[129],"all":[133],"which":[135,175,191],"dependent":[137],"on":[138],"long-term":[140,206],"series;":[145],"suffices":[147],"values":[151],"lag":[156,216],"variation":[157],"functions":[158,218],"lags,":[161],"i.e.":[162],"mean":[164],"semi-squared":[165],"differences":[166],"separated":[172],"by":[173,227],"distances":[174],"short.":[177],"This":[178],"important":[181],"because":[182],"many":[184],"applications":[186],"stretches":[188],"constitute":[192],"data":[194],"muoh":[196],"too":[197],"provide":[200],"accurate":[201,210],"unbiased":[203,212],"estimates":[204,213],"whereas":[209],"varia-tion":[217],"lags":[221],"can":[222],"be":[223],"obtained":[224],"even,":[225],"say,":[226],"combining":[228],"evidence":[229],"scraps":[232],"same":[237],"but":[240],"different":[241],"means.":[242],"papers":[245],"has":[248],"proposed":[249],"application":[251],"this":[253],"number":[257],"techniques,":[259],"including":[260],"following:":[262]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
