{"id":"https://openalex.org/W2065490365","doi":"https://doi.org/10.1145/1225275.1225278","title":"Asymptotics and fast simulation for tail probabilities of maximum of sums of few random variables","display_name":"Asymptotics and fast simulation for tail probabilities of maximum of sums of few random variables","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2065490365","doi":"https://doi.org/10.1145/1225275.1225278","mag":"2065490365"},"language":"en","primary_location":{"id":"doi:10.1145/1225275.1225278","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1225275.1225278","pdf_url":null,"source":{"id":"https://openalex.org/S38703467","display_name":"ACM Transactions on Modeling and Computer Simulation","issn_l":"1049-3301","issn":["1049-3301","1558-1195"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Modeling and Computer Simulation","raw_type":"journal-article"},"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/A5076580109","display_name":"S. Juneja","orcid":"https://orcid.org/0000-0001-7415-7180"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Juneja","raw_affiliation_strings":["Tata Institute of Fundamental Research, Mumbai, India","Tata Institute of Fundamental Research, Mumbai, India.#TAB#"],"affiliations":[{"raw_affiliation_string":"Tata Institute of Fundamental Research, Mumbai, India","institution_ids":["https://openalex.org/I11947397"]},{"raw_affiliation_string":"Tata Institute of Fundamental Research, Mumbai, India.#TAB#","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046424538","display_name":"Rajeeva L. Karandikar","orcid":"https://orcid.org/0000-0003-4342-7576"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. L. Karandikar","raw_affiliation_strings":["Indian Statistical Institute, Delhi, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Delhi, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060739623","display_name":"Perwez Shahabuddin","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Shahabuddin","raw_affiliation_strings":["Columbia University, New York"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076580109"],"corresponding_institution_ids":["https://openalex.org/I11947397"],"apc_list":null,"apc_paid":null,"fwci":2.7685,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.90589038,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"2","first_page":"7","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9997000098228455,"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":0.9997000098228455,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.995199978351593,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9901000261306763,"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/mathematics","display_name":"Mathematics","score":0.6825863122940063},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6125842332839966},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5692793726921082},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5656696557998657},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5479289889335632},{"id":"https://openalex.org/keywords/hazard","display_name":"Hazard","score":0.4841811954975128},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.46627214550971985},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4283475875854492},{"id":"https://openalex.org/keywords/heavy-tailed-distribution","display_name":"Heavy-tailed distribution","score":0.4147118031978607},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4146439731121063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1754768192768097},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06766951084136963}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6825863122940063},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6125842332839966},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5692793726921082},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5656696557998657},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5479289889335632},{"id":"https://openalex.org/C49261128","wikidata":"https://www.wikidata.org/wiki/Q1132455","display_name":"Hazard","level":2,"score":0.4841811954975128},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.46627214550971985},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4283475875854492},{"id":"https://openalex.org/C1602530","wikidata":"https://www.wikidata.org/wiki/Q1472677","display_name":"Heavy-tailed distribution","level":3,"score":0.4147118031978607},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4146439731121063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1754768192768097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06766951084136963},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1225275.1225278","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1225275.1225278","pdf_url":null,"source":{"id":"https://openalex.org/S38703467","display_name":"ACM Transactions on Modeling and Computer Simulation","issn_l":"1049-3301","issn":["1049-3301","1558-1195"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Modeling and Computer Simulation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.330.4254","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.330.4254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tcs.tifr.res.in/~sandeepj/avail_papers/JKS_07.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1498464051","https://openalex.org/W1513180487","https://openalex.org/W1580385316","https://openalex.org/W1583958891","https://openalex.org/W1980810441","https://openalex.org/W2023135717","https://openalex.org/W2059120410","https://openalex.org/W2077846544","https://openalex.org/W2080328084","https://openalex.org/W2097360682","https://openalex.org/W2105818147","https://openalex.org/W2112701324","https://openalex.org/W2146416787","https://openalex.org/W2161397058","https://openalex.org/W2400084195","https://openalex.org/W2502254989","https://openalex.org/W2751862591","https://openalex.org/W4299432846","https://openalex.org/W4301258660","https://openalex.org/W4301327982","https://openalex.org/W6808047023"],"related_works":["https://openalex.org/W2766105656","https://openalex.org/W2162778980","https://openalex.org/W1537624148","https://openalex.org/W2220701296","https://openalex.org/W2487686988","https://openalex.org/W4288910996","https://openalex.org/W2393641255","https://openalex.org/W2785871315","https://openalex.org/W4387131924","https://openalex.org/W1997459874"],"abstract_inverted_index":{"We":[0,56,126],"derive":[1],"tail":[2],"asymptotics":[3],"for":[4],"the":[5,8,22,50,71,100,132,144,155],"probability":[6,51],"that":[7,76,109,128,151],"maximum":[9],"of":[10,12,52,80],"sums":[11],"a":[13],"few":[14],"random":[15,23],"variables":[16,24],"exceeds":[17],"an":[18,77],"increasing":[19],"threshold,":[20],"when":[21,152],"may":[25,46,134],"be":[26,47],"light":[27,122],"as":[28,30],"well":[29,90],"heavy":[31],"tailed.":[32],"These":[33],"probabilities":[34],"arise":[35],"in":[36,40,48,99,120,129,143],"many":[37,130],"applications":[38],"including":[39],"PERT":[41],"networks":[42],"where":[43],"our":[44,148],"interest":[45],"measuring":[49],"large":[53],"project":[54],"delays.":[55],"also":[57],"develop":[58,107],"provably":[59],"asymptotically":[60],"optimal":[61],"importance":[62],"sampling":[63],"techniques":[64,108],"to":[65],"efficiently":[66,84],"estimate":[67],"these":[68,86],"probabilities.":[69,87],"In":[70],"light-tailed":[72,145],"settings":[73],"we":[74,106],"show":[75,127],"appropriate":[78],"mixture":[79],"exponentially":[81],"twisted":[82],"distributions":[83],"estimates":[85],"As":[88],"is":[89],"known,":[91],"exponential":[92,139,156],"twisting":[93,140,157,165],"based":[94,141,158,166],"methods":[95,142,159],"are":[96],"not":[97],"applicable":[98],"heavy-tailed":[101,124],"settings.":[102,125,146],"To":[103],"remedy":[104],"this,":[105],"rely":[110],"on":[111],"\u201casymptotic":[112],"hazard":[113,163],"rate":[114,164],"twisting\u201d":[115],"and":[116,123],"prove":[117],"their":[118],"effectiveness":[119],"both":[121],"cases":[131],"latter":[133],"have":[135],"implementation":[136],"advantages":[137],"over":[138],"However,":[147],"experiments":[149],"suggest":[150],"easily":[153],"implementable,":[154],"significantly":[160],"outperform":[161],"asymptotic":[162],"methods.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
