{"id":"https://openalex.org/W4294433221","doi":"https://doi.org/10.1007/s11222-022-10136-9","title":"A non-stationary model for spatially dependent circular response data based on wrapped Gaussian processes","display_name":"A non-stationary model for spatially dependent circular response data based on wrapped Gaussian processes","publication_year":2022,"publication_date":"2022-09-03","ids":{"openalex":"https://openalex.org/W4294433221","doi":"https://doi.org/10.1007/s11222-022-10136-9"},"language":"en","primary_location":{"id":"doi:10.1007/s11222-022-10136-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-022-10136-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-022-10136-9.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11222-022-10136-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083405920","display_name":"Isa Marques","orcid":"https://orcid.org/0000-0002-0172-6028"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Isa Marques","raw_affiliation_strings":["University of G\u00f6ttingen, Humboldtallee 3, 37073, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of G\u00f6ttingen, Humboldtallee 3, 37073, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009871877","display_name":"Thomas Kneib","orcid":"https://orcid.org/0000-0003-3390-0972"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Kneib","raw_affiliation_strings":["University of G\u00f6ttingen, Humboldtallee 3, 37073, G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of G\u00f6ttingen, Humboldtallee 3, 37073, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009563869","display_name":"Nadja Klein","orcid":"https://orcid.org/0000-0002-5072-5347"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nadja Klein","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099, Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083405920"],"corresponding_institution_ids":["https://openalex.org/I74656192"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.2233,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.41292886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"32","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11911","display_name":"Spatial and Panel Data Analysis","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10841","display_name":"Economic and Environmental Valuation","score":0.9715999960899353,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6845229864120483},{"id":"https://openalex.org/keywords/gaussian-random-field","display_name":"Gaussian random field","score":0.6370179653167725},{"id":"https://openalex.org/keywords/random-field","display_name":"Random field","score":0.5324075818061829},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.5161162614822388},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5012428760528564},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.48156264424324036},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4727787971496582},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4688599705696106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46221819519996643},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.4229591488838196},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4205659031867981},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40988704562187195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4068042039871216},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.3906140923500061},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.34831559658050537},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33279919624328613},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28468477725982666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08596464991569519}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6845229864120483},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.6370179653167725},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.5324075818061829},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.5161162614822388},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5012428760528564},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.48156264424324036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4727787971496582},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4688599705696106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46221819519996643},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.4229591488838196},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4205659031867981},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40988704562187195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4068042039871216},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.3906140923500061},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.34831559658050537},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33279919624328613},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28468477725982666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08596464991569519},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11222-022-10136-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-022-10136-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-022-10136-9.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/114376","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/114376","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:eprints.gla.ac.uk:306504","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Articles"}],"best_oa_location":{"id":"doi:10.1007/s11222-022-10136-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-022-10136-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-022-10136-9.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4294433221.pdf","grobid_xml":"https://content.openalex.org/works/W4294433221.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1487139063","https://openalex.org/W1491542233","https://openalex.org/W1524392826","https://openalex.org/W1536497620","https://openalex.org/W1559626027","https://openalex.org/W1601728065","https://openalex.org/W1747046542","https://openalex.org/W1786926695","https://openalex.org/W1837874438","https://openalex.org/W1898904249","https://openalex.org/W1967282477","https://openalex.org/W2004807582","https://openalex.org/W2020264293","https://openalex.org/W2030597423","https://openalex.org/W2030911724","https://openalex.org/W2033066640","https://openalex.org/W2040635790","https://openalex.org/W2040850257","https://openalex.org/W2046204054","https://openalex.org/W2056760934","https://openalex.org/W2061885628","https://openalex.org/W2069993596","https://openalex.org/W2080659159","https://openalex.org/W2083440700","https://openalex.org/W2130075045","https://openalex.org/W2144898279","https://openalex.org/W2145911539","https://openalex.org/W2148534890","https://openalex.org/W2161500689","https://openalex.org/W2163669663","https://openalex.org/W2170568441","https://openalex.org/W2177956663","https://openalex.org/W2286250368","https://openalex.org/W2321340562","https://openalex.org/W2412839887","https://openalex.org/W2496675188","https://openalex.org/W2752399945","https://openalex.org/W2962980151","https://openalex.org/W2963692165","https://openalex.org/W2972777349","https://openalex.org/W2975873926","https://openalex.org/W2990161218","https://openalex.org/W3005420815","https://openalex.org/W3101637254","https://openalex.org/W3104886058","https://openalex.org/W4229930971","https://openalex.org/W4232188727","https://openalex.org/W4244320231","https://openalex.org/W4289256549","https://openalex.org/W4289259613","https://openalex.org/W4301341693","https://openalex.org/W6605161895"],"related_works":["https://openalex.org/W1541863749","https://openalex.org/W4289785401","https://openalex.org/W3002473118","https://openalex.org/W3103935687","https://openalex.org/W2599475653","https://openalex.org/W2069407179","https://openalex.org/W4226291750","https://openalex.org/W4286883315","https://openalex.org/W127735393","https://openalex.org/W4221155620"],"abstract_inverted_index":{"Abstract":[0],"Circular":[1],"data":[2,34,41,61],"can":[3],"be":[4],"found":[5],"across":[6],"many":[7],"areas":[8],"of":[9,32,73,103,107,154],"science,":[10],"for":[11,39,59,64],"instance":[12],"meteorology":[13],"(e.g.,":[14,18,24],"wind":[15,170],"directions),":[16,21],"ecology":[17],"animal":[19],"movement":[20],"or":[22],"medicine":[23],"seasonality":[25],"in":[26,66,159,172],"disease":[27],"onset).":[28],"The":[29,152],"special":[30],"nature":[31],"these":[33],"means":[35],"that":[36,62,126],"conventional":[37],"methods":[38],"non-periodic":[40],"are":[42],"no":[43],"longer":[44],"valid.":[45],"In":[46],"this":[47],"paper,":[48],"we":[49,115],"consider":[50],"wrapped":[51],"Gaussian":[52,74,83,87,110],"processes":[53],"and":[54,69,86,139],"introduce":[55],"a":[56,131,160],"spatial":[57],"model":[58,129,135,156,165],"circular":[60],"allow":[63],"non-stationarity":[65],"the":[67,70,79,101,104,108,121,128,155,164],"mean":[68,138],"covariance":[71,140],"structure":[72],"random":[75,84,89,112],"fields.":[76],"We":[77],"use":[78],"empirical":[80],"equivalence":[81],"between":[82],"fields":[85,90],"Markov":[88,111,147],"which":[91],"allows":[92],"us":[93],"to":[94,168],"considerably":[95],"reduce":[96],"computational":[97],"complexity":[98,123],"by":[99,120],"exploiting":[100],"sparseness":[102],"precision":[105],"matrix":[106],"associated":[109],"field.":[113],"Furthermore,":[114],"develop":[116],"tunable":[117],"priors,":[118],"inspired":[119],"penalized":[122],"prior":[124],"framework,":[125],"shrink":[127],"toward":[130],"less":[132],"flexible":[133],"base":[134],"with":[136],"stationary":[137],"function.":[141],"Posterior":[142],"estimation":[143],"is":[144,157,166],"done":[145],"via":[146],"chain":[148],"Monte":[149],"Carlo":[150],"simulation.":[151],"performance":[153],"evaluated":[158],"simulation":[161],"study.":[162],"Finally,":[163],"applied":[167],"analyzing":[169],"directions":[171],"Germany.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}