{"id":"https://openalex.org/W2949518368","doi":"https://doi.org/10.1093/comjnl/bxm122","title":"Some Comments on C. S. Wallace's Random Number Generators","display_name":"Some Comments on C. S. Wallace's Random Number Generators","publication_year":2008,"publication_date":"2008-02-16","ids":{"openalex":"https://openalex.org/W2949518368","doi":"https://doi.org/10.1093/comjnl/bxm122","mag":"2949518368"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxm122","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxm122","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"The Computer Journal","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1005.2314","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078366249","display_name":"Richard P. Brent","orcid":"https://orcid.org/0000-0002-8495-7437"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I2802631561","display_name":"Australian Mathematical Sciences Institute","ror":"https://ror.org/00yn60108","country_code":"AU","type":"other","lineage":["https://openalex.org/I2802631561"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"R. P. Brent","raw_affiliation_strings":["Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636","https://openalex.org/I2802631561"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078366249"],"corresponding_institution_ids":["https://openalex.org/I118347636","https://openalex.org/I2802631561"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":1.166,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.84762103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"51","issue":"5","first_page":"579","last_page":"584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9941999912261963,"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/random-number-generation","display_name":"Random number generation","score":0.839457631111145},{"id":"https://openalex.org/keywords/convolution-random-number-generator","display_name":"Convolution random number generator","score":0.590641975402832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5760904550552368},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.564979076385498},{"id":"https://openalex.org/keywords/random-variate","display_name":"Random variate","score":0.49612197279930115},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.4226936101913452},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3918667435646057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38800621032714844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3768589496612549},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.26333069801330566},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20362445712089539},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06475868821144104},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.052653968334198}],"concepts":[{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.839457631111145},{"id":"https://openalex.org/C116643974","wikidata":"https://www.wikidata.org/wiki/Q5166606","display_name":"Convolution random number generator","level":4,"score":0.590641975402832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5760904550552368},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.564979076385498},{"id":"https://openalex.org/C141547133","wikidata":"https://www.wikidata.org/wiki/Q7291996","display_name":"Random variate","level":3,"score":0.49612197279930115},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.4226936101913452},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3918667435646057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38800621032714844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3768589496612549},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.26333069801330566},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20362445712089539},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06475868821144104},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.052653968334198},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/comjnl/bxm122","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxm122","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"The Computer Journal","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1005.2314","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.2314","pdf_url":"https://arxiv.org/pdf/1005.2314","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.105.5979","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.5979","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pd/rpb213.pdf","raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/22119","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/22119","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Computer Journal","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1005.2314","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.2314","pdf_url":"https://arxiv.org/pdf/1005.2314","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W63164667","https://openalex.org/W126705507","https://openalex.org/W1563057118","https://openalex.org/W1585065779","https://openalex.org/W1660562555","https://openalex.org/W1968372742","https://openalex.org/W1976985517","https://openalex.org/W1981663184","https://openalex.org/W1989975404","https://openalex.org/W1991902959","https://openalex.org/W1992242854","https://openalex.org/W1996360405","https://openalex.org/W1998122806","https://openalex.org/W2000342046","https://openalex.org/W2007153925","https://openalex.org/W2008818007","https://openalex.org/W2025561587","https://openalex.org/W2047000063","https://openalex.org/W2050412187","https://openalex.org/W2063709269","https://openalex.org/W2077972399","https://openalex.org/W2090824272","https://openalex.org/W2112716591","https://openalex.org/W2116628219","https://openalex.org/W2132238492","https://openalex.org/W2133817484","https://openalex.org/W2140521056","https://openalex.org/W2152828142","https://openalex.org/W2156115117","https://openalex.org/W2160495765","https://openalex.org/W2162072232","https://openalex.org/W2162404251","https://openalex.org/W2162669222","https://openalex.org/W2989873570","https://openalex.org/W3029544904","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W4254888883","https://openalex.org/W102511303","https://openalex.org/W2784077364","https://openalex.org/W213778218","https://openalex.org/W2131871748","https://openalex.org/W2099115046","https://openalex.org/W3202421192","https://openalex.org/W3102296243","https://openalex.org/W2059053549","https://openalex.org/W4287905485"],"abstract_inverted_index":{"We":[0,59],"outline":[1],"some":[2],"of":[3,28,45,64],"Chris":[4],"Wallace's":[5,46],"contributions":[6],"to":[7],"pseudo-random":[8],"number":[9],"generation.":[10],"In":[11],"particular,":[12],"we":[13],"consider":[14],"his":[15],"recent":[16],"idea":[17,47],"for":[18,39],"generating":[19,40],"normally":[20],"distributed":[21],"variates":[22],"without":[23],"relying":[24],"on":[25],"a":[26],"source":[27],"uniform":[29,57],"random":[30,42],"numbers":[31],"and":[32,67],"compare":[33],"it":[34],"with":[35],"more":[36],"conventional":[37],"methods":[38],"normal":[41],"numbers.":[43],"Implementations":[44],"can":[48,72],"be":[49,73],"very":[50],"fast":[51,54],"(approximately":[52],"as":[53,55],"good":[56],"generators).":[58],"discuss":[60],"the":[61,65],"statistical":[62],"quality":[63],"output,":[66],"mention":[68],"how":[69],"certain":[70],"pitfalls":[71],"avoided.":[74]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}