{"id":"https://openalex.org/W2005935699","doi":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<428::aid-rsa12>3.0.co;2-6","title":"Limiting distributions for the costs of partial match retrievals in multidimensional tries","display_name":"Limiting distributions for the costs of partial match retrievals in multidimensional tries","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2005935699","doi":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<428::aid-rsa12>3.0.co;2-6","mag":"2005935699"},"language":"en","primary_location":{"id":"doi:10.1002/1098-2418(200010/12)17:3/4<428::aid-rsa12>3.0.co;2-6","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<428::aid-rsa12>3.0.co;2-6","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","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/A5021031996","display_name":"Werner Schachinger","orcid":"https://orcid.org/0000-0003-0778-4074"},"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":"Werner Schachinger","raw_affiliation_strings":["Department of Statistics and Decision Support Systems, University of Vienna, Bru\u0308nnerstr. 72, A-1210 Wien, Austria","Department of Statistics and Decision Support Systems, University of Vienna, Br\u00fcnnerstr. 72, A-1210 Wien, Austria ("],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Decision Support Systems, University of Vienna, Bru\u0308nnerstr. 72, A-1210 Wien, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Department of Statistics and Decision Support Systems, University of Vienna, Br\u00fcnnerstr. 72, A-1210 Wien, Austria (","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021031996"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":1.6298,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.84051329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":"3-4","first_page":"428","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9975000023841858,"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/cardinality","display_name":"Cardinality (data modeling)","score":0.7445756196975708},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.6446781158447266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6099455952644348},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5590201616287231},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5080697536468506},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.48873043060302734},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4627867043018341},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4623504877090454},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.460308313369751},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4598276615142822},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43894538283348083},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4242691993713379},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4222607910633087},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3687821626663208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29690903425216675},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21270594000816345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08973914384841919}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7445756196975708},{"id":"https://openalex.org/C27956954","wikidata":"https://www.wikidata.org/wiki/Q391371","display_name":"Bernoulli distribution","level":3,"score":0.6446781158447266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6099455952644348},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5590201616287231},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5080697536468506},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.48873043060302734},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4627867043018341},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4623504877090454},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.460308313369751},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4598276615142822},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43894538283348083},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4242691993713379},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4222607910633087},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3687821626663208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29690903425216675},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21270594000816345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08973914384841919},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1098-2418(200010/12)17:3/4<428::aid-rsa12>3.0.co;2-6","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<428::aid-rsa12>3.0.co;2-6","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W981994444","https://openalex.org/W1511251174","https://openalex.org/W1516314780","https://openalex.org/W1597637931","https://openalex.org/W1680479358","https://openalex.org/W1966082969","https://openalex.org/W1999501660","https://openalex.org/W2014771275","https://openalex.org/W2023413246","https://openalex.org/W2038681797","https://openalex.org/W2038853840","https://openalex.org/W2053101698","https://openalex.org/W2056099894","https://openalex.org/W2120062331","https://openalex.org/W2137752330","https://openalex.org/W2155631901","https://openalex.org/W2161613033","https://openalex.org/W2165558283","https://openalex.org/W2337480916","https://openalex.org/W2752853835","https://openalex.org/W2752908210","https://openalex.org/W2986057930","https://openalex.org/W4255565618"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W2562400057","https://openalex.org/W1692008701","https://openalex.org/W1500127208","https://openalex.org/W2152974971","https://openalex.org/W2184080547","https://openalex.org/W4214703581"],"abstract_inverted_index":{"In":[0,82,201],"this":[1],"paper":[2],"we":[3,53,129,149,163,242,250,278],"derive":[4,251],"limiting":[5,206,218],"distributions":[6,207,219],"for":[7],"the":[8,21,25,29,32,44,56,68,83,102,107,115,134,144,178,191,202,205,209,215,231,247,268,273,281],"costs":[9,96],"of":[10,31,62,93,104,114,139,154,190,196,224,234,246,254,267,272,283],"partial":[11],"match":[12],"retrievals":[13],"in":[14,91,136,174,183,214,222],"K-d":[15],"tries.":[16],"We":[17,117],"confine":[18],"ourselves":[19],"to":[20,39,43,106,142],"binary":[22],"case":[23,85,204,217],"(i.e.,":[24],"alphabet,":[26],"from":[27,256],"which":[28,66,128,137,162,229],"letters":[30],"keys":[33,59],"are":[34,60,79,208,220],"drawn,":[35],"has":[36],"cardinality":[37],"2),":[38],"dimension":[40],"K=2,":[41],"and":[42,71,76,78,213,264,270,277],"query":[45],"pattern":[46],"(*,":[47],"S).":[48],"The":[49,126,159],"probabilistic":[50],"model":[51],"that":[52,133,151,167,168],"assume":[54,67],"is":[55,101,146,170,230],"Bernoulli":[57],"model:":[58],"sequences":[61],"i.i.d.":[63],"random":[64],"variables,":[65],"values":[69],"0":[70],"1":[72],"with":[73,123],"probability":[74],"p":[75],"1\u2212p,":[77],"pairwise":[80],"independent.":[81],"symmetric":[84,203],"(p=\u00bd)":[86],"our":[87],"analysis":[88],"reveals":[89],"convergence":[90,113,245],"distribution":[92,227],"properly":[94],"normalized":[95],"CN,":[97],"as":[98,110,112,211,262],"N\u2192\u221e":[99],"(N":[100],"number":[103],"keys),":[105],"normal":[108],"distribution,":[109],"well":[111],"moments.":[116,248],"also":[118,243,279],"consider":[119],"two":[120,192],"models":[121],"dealing":[122],"flexible":[124],"queries.":[125],"first,":[127],"call":[130,164],"\u201cadapted,\u201d":[131],"assumes":[132,166],"decision,":[135],"subtree":[138],"a":[140,235],"node":[141],"continue":[143],"search,":[145],"made":[147,171],"when":[148],"reach":[150],"node,":[152],"independent":[153,195],"all":[155,197],"other":[156,198],"such":[157,199,261],"decisions.":[158,200],"second":[160],"model,":[161],"\u201cpredictable,\u201d":[165],"decision":[169],"one":[172],"step":[173],"advance,":[175],"telling,":[176],"if":[177],"search":[179],"should":[180],"be":[181],"continued":[182],"both":[184,187],"left":[185],"(resp.":[186],"right)":[188],"subtrees":[189],"sons,":[193],"again":[194],"same":[210],"before,":[212],"asymmetric":[216],"given":[221],"terms":[223],"some":[225,252],"nonnormal":[226],"\u03bcp,":[228],"unique":[232],"solution":[233],"certain":[236],"stochastic":[237],"fixed":[238,258],"point":[239,259],"equation.":[240],"Again":[241],"establish":[244],"Furthermore":[249],"properties":[253],"\u03bcp":[255],"its":[257],"equation,":[260],"existence":[263],"infinite":[265],"differentiability":[266],"density,":[269],"analyticity":[271],"moment":[274],"generating":[275],"function,":[276],"determine":[280],"support":[282],"\u03bcp.":[284],"\u00a9":[285],"2000":[286,297],"John":[287],"Wiley":[288],"&":[289],"Sons,":[290],"Inc.":[291],"Random":[292],"Struct.":[293],"Alg.,":[294],"17:":[295],"428\u2013459,":[296]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}