{"id":"https://openalex.org/W2039598032","doi":"https://doi.org/10.1155/2009/253750","title":"Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables","display_name":"Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2039598032","doi":"https://doi.org/10.1155/2009/253750","mag":"2039598032"},"language":"en","primary_location":{"id":"doi:10.1155/2009/253750","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/253750","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/253750.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2009/253750.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070189480","display_name":"Dianliang Deng","orcid":"https://orcid.org/0000-0002-4128-7920"},"institutions":[{"id":"https://openalex.org/I194028371","display_name":"University of Regina","ror":"https://ror.org/03dzc0485","country_code":"CA","type":"education","lineage":["https://openalex.org/I194028371"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Dianliang Deng","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Regina, Regina, SK","University of Regina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Regina, Regina, SK","institution_ids":["https://openalex.org/I194028371"]},{"raw_affiliation_string":"University of Regina","institution_ids":["https://openalex.org/I194028371"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070189480"],"corresponding_institution_ids":["https://openalex.org/I194028371"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14869396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/algorithm","display_name":"Algorithm","score":0.5406948328018188},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3460855484008789},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.336193323135376}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5406948328018188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3460855484008789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.336193323135376}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2009/253750","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/253750","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/253750.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:253750","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2009/253750.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:7657e79739b74f2193cab13461415048","is_oa":false,"landing_page_url":"https://doaj.org/article/7657e79739b74f2193cab13461415048","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2009 (2009)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2009/253750","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/253750","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/253750.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2039598032.pdf","grobid_xml":"https://content.openalex.org/works/W2039598032.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1510536916","https://openalex.org/W1980935218","https://openalex.org/W1981549516","https://openalex.org/W1999278987","https://openalex.org/W2007715760","https://openalex.org/W2023135717","https://openalex.org/W2034426288","https://openalex.org/W2066923357","https://openalex.org/W2094081378","https://openalex.org/W2096842173","https://openalex.org/W2142320996","https://openalex.org/W2145420589","https://openalex.org/W2223100803","https://openalex.org/W2314546542","https://openalex.org/W2356067602","https://openalex.org/W2380768646","https://openalex.org/W3141727318","https://openalex.org/W4291439952","https://openalex.org/W4298295580"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2317200988","https://openalex.org/W2376932109","https://openalex.org/W2382290278","https://openalex.org/W2350741829"],"abstract_inverted_index":{"Let":[0],"be":[1],"a":[2,59],"sequence":[3],"of":[4,14,23,27,31,46,62,71,80],"i.i.d.":[5],"real\u2010valued":[6],"random":[7],"variables,":[8],"and":[9,54,67,76],",":[10,49,51,52],".":[11],"Convergence":[12],"rates":[13,22],"moderate":[15],"deviations":[16],"are":[17,35,56],"derived;":[18],"that":[19],"is,":[20],"the":[21,32,44,47],"convergence":[24,45],"to":[25],"zero":[26],"certain":[28],"tail":[29],"probabilities":[30],"partial":[33],"sums":[34],"determined.":[36],"For":[37],"example,":[38],"we":[39],"obtain":[40],"equivalent":[41],"conditions":[42],"for":[43],"series":[48],"where":[50],"\u03d5":[53],"\u03c8":[55],"taken":[57],"from":[58],"broad":[60],"class":[61],"functions.":[63],"These":[64],"results":[65,70],"generalize":[66],"improve":[68],"some":[69,77],"Li":[72],"et":[73],"al.":[74],"(1992)":[75],"previous":[78],"work":[79],"Gut":[81],"(1980).":[82]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
