{"id":"https://openalex.org/W2034360046","doi":"https://doi.org/10.1016/s0012-365x(00)00133-3","title":"Combinatorics of geometrically distributed random variables: Value and position of the rth left-to-right maximum","display_name":"Combinatorics of geometrically distributed random variables: Value and position of the rth left-to-right maximum","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2034360046","doi":"https://doi.org/10.1016/s0012-365x(00)00133-3","mag":"2034360046"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(00)00133-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00133-3","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5036711367","display_name":"Arnold Knopfmacher","orcid":"https://orcid.org/0000-0003-1962-043X"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Arnold Knopfmacher","raw_affiliation_strings":["The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Applied Mathematics, University of the Witwatersrand, P.O. Wits, 2050 Johannesburg, South Africa"],"affiliations":[{"raw_affiliation_string":"The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Applied Mathematics, University of the Witwatersrand, P.O. Wits, 2050 Johannesburg, South Africa","institution_ids":["https://openalex.org/I192619145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014728682","display_name":"Helmut Prodinger","orcid":"https://orcid.org/0000-0002-0009-8015"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Helmut Prodinger","raw_affiliation_strings":["The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Applied Mathematics, University of the Witwatersrand, P.O. Wits, 2050 Johannesburg, South Africa"],"affiliations":[{"raw_affiliation_string":"The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Applied Mathematics, University of the Witwatersrand, P.O. Wits, 2050 Johannesburg, South Africa","institution_ids":["https://openalex.org/I192619145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036711367"],"corresponding_institution_ids":["https://openalex.org/I192619145"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":3.038,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.90942249,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"226","issue":"1-3","first_page":"255","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9945999979972839,"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/T11567","display_name":"semigroups and automata theory","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.921026349067688},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7513309121131897},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.6304065585136414},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5417220592498779},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5062248110771179},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.42641934752464294},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3843570947647095},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24652552604675293}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.921026349067688},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7513309121131897},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6304065585136414},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5417220592498779},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5062248110771179},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.42641934752464294},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3843570947647095},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24652552604675293},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0012-365x(00)00133-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00133-3","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.12.3292","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.3292","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wits.ac.za/science/number_theory/./research/geomvar.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.238.605","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.238.605","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/9812134v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1593478397","https://openalex.org/W1597747553","https://openalex.org/W1970628287","https://openalex.org/W1987135975","https://openalex.org/W1993449345","https://openalex.org/W2034543233","https://openalex.org/W2065032802","https://openalex.org/W2073792589","https://openalex.org/W2079997965","https://openalex.org/W2161613033","https://openalex.org/W2914659449"],"related_works":["https://openalex.org/W58347805","https://openalex.org/W2385118824","https://openalex.org/W2359476137","https://openalex.org/W2362165903","https://openalex.org/W4297976568","https://openalex.org/W2413743231","https://openalex.org/W2962851451","https://openalex.org/W2128333523","https://openalex.org/W4301079941","https://openalex.org/W210412709"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
