{"id":"https://openalex.org/W4403510337","doi":"https://doi.org/10.1109/lsp.2024.3483033","title":"On Second-Order Statistics of the Log-Average Periodogram for Gaussian Processes","display_name":"On Second-Order Statistics of the Log-Average Periodogram for Gaussian Processes","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403510337","doi":"https://doi.org/10.1109/lsp.2024.3483033"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2024.3483033","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3483033","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/lsp.2024.3483033","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007890899","display_name":"Karolina Klockmann","orcid":"https://orcid.org/0000-0002-0071-1465"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Karolina Klockmann","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Vienna, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-0071-1465","affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090922449","display_name":"Tatyana Krivobokova","orcid":"https://orcid.org/0000-0002-6389-2312"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Tatyana Krivobokova","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Vienna, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-6389-2312","affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007890899"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15724691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":null,"first_page":"3079","last_page":"3083"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.8274000287055969,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.8274000287055969,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.7286999821662903,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.7139999866485596,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/higher-order-statistics","display_name":"Higher-order statistics","score":0.7317169308662415},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6171350479125977},{"id":"https://openalex.org/keywords/periodogram","display_name":"Periodogram","score":0.61708003282547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.536506175994873},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5184745192527771},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.5075551271438599},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4664207398891449},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4378368854522705},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4199034571647644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3299407362937927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2875663638114929},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.21895432472229004},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11583945155143738}],"concepts":[{"id":"https://openalex.org/C2780576426","wikidata":"https://www.wikidata.org/wiki/Q5757980","display_name":"Higher-order statistics","level":4,"score":0.7317169308662415},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6171350479125977},{"id":"https://openalex.org/C197680801","wikidata":"https://www.wikidata.org/wiki/Q587619","display_name":"Periodogram","level":2,"score":0.61708003282547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.536506175994873},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5184745192527771},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.5075551271438599},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4664207398891449},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4378368854522705},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4199034571647644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3299407362937927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2875663638114929},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.21895432472229004},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11583945155143738},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2024.3483033","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3483033","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/lsp.2024.3483033","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lsp.2024.3483033","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1972485395","https://openalex.org/W1989138447","https://openalex.org/W2012886047","https://openalex.org/W2015947314","https://openalex.org/W2040455387","https://openalex.org/W2051316645","https://openalex.org/W2063827883","https://openalex.org/W2114607160","https://openalex.org/W2118012123","https://openalex.org/W2149018841","https://openalex.org/W2905049930","https://openalex.org/W2912137037","https://openalex.org/W4229868531","https://openalex.org/W4323361988","https://openalex.org/W4391244148","https://openalex.org/W6659651900"],"related_works":["https://openalex.org/W2057009832","https://openalex.org/W2408114858","https://openalex.org/W2145466987","https://openalex.org/W1988154963","https://openalex.org/W2168853462","https://openalex.org/W2132277559","https://openalex.org/W2150642605","https://openalex.org/W2112802611","https://openalex.org/W1567225242","https://openalex.org/W1971510321"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"approximate":[3],"expression":[4,44],"for":[5,12,45],"the":[6,9,25,28,46],"covariance":[7,26],"of":[8,27,49],"log-average":[10],"periodogram":[11],"a":[13,42,50],"zero":[14],"mean":[15],"stationary":[16],"Gaussian":[17],"process.":[18],"Our":[19],"findings":[20],"extend":[21],"existing":[22],"results":[23],"on":[24],"log-periodogram":[29],"by":[30],"additionally":[31],"taking":[32],"averaging":[33],"over":[34],"adjacent":[35],"frequencies":[36],"into":[37],"account.":[38],"Moreover,":[39],"we":[40],"provide":[41],"simple":[43],"non-integer":[47],"moments":[48],"non-central":[51],"chi-squared":[52],"distribution.":[53]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}