{"id":"https://openalex.org/W2790919850","doi":"https://doi.org/10.1080/00029890.2018.1424428","title":"Binomial Identities and Moments of Random Variables","display_name":"Binomial Identities and Moments of Random Variables","publication_year":2018,"publication_date":"2018-03-22","ids":{"openalex":"https://openalex.org/W2790919850","doi":"https://doi.org/10.1080/00029890.2018.1424428","mag":"2790919850"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1424428","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1424428","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zaguan.unizar.es/record/79117/files/texto_completo.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066187194","display_name":"Jos\u00e9 A. Adell","orcid":"https://orcid.org/0000-0001-8331-5160"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 A. Adell","raw_affiliation_strings":["Departamento de M\u00e9todos Estad\u00edsticos, Universidad de Zaragoza, 50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de M\u00e9todos Estad\u00edsticos, Universidad de Zaragoza, 50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078685248","display_name":"Alberto Lekuona","orcid":null},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alberto Lekuona","raw_affiliation_strings":["Departamento de M\u00e9todos Estad\u00edsticos, Universidad de Zaragoza, 50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de M\u00e9todos Estad\u00edsticos, Universidad de Zaragoza, 50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066187194"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":null,"apc_paid":null,"fwci":0.5595,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57901312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"125","issue":"4","first_page":"365","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9984999895095825,"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":0.9984999895095825,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9901999831199646,"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/mathematics","display_name":"Mathematics","score":0.670558750629425},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5957098603248596},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.4916868805885315},{"id":"https://openalex.org/keywords/l-moment","display_name":"L-moment","score":0.48880431056022644},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"Negative binomial distribution","score":0.4794279932975769},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.42741236090660095},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.38642287254333496},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.1815880835056305}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.670558750629425},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5957098603248596},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.4916868805885315},{"id":"https://openalex.org/C1797436","wikidata":"https://www.wikidata.org/wiki/Q6456145","display_name":"L-moment","level":3,"score":0.48880431056022644},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.4794279932975769},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.42741236090660095},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.38642287254333496},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.1815880835056305},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00029890.2018.1424428","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1424428","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},{"id":"pmh:oai:zaguan.unizar.es:79117","is_oa":true,"landing_page_url":"http://zaguan.unizar.es/record/79117","pdf_url":"https://zaguan.unizar.es/record/79117/files/texto_completo.pdf","source":{"id":"https://openalex.org/S4306401812","display_name":"Zaguan (University of Zaragoza Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I255234318","host_organization_name":"Universidad de Zaragoza","host_organization_lineage":["https://openalex.org/I255234318"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:zaguan.unizar.es:79117","is_oa":true,"landing_page_url":"http://zaguan.unizar.es/record/79117","pdf_url":"https://zaguan.unizar.es/record/79117/files/texto_completo.pdf","source":{"id":"https://openalex.org/S4306401812","display_name":"Zaguan (University of Zaragoza Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I255234318","host_organization_name":"Universidad de Zaragoza","host_organization_lineage":["https://openalex.org/I255234318"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2790919850.pdf","grobid_xml":"https://content.openalex.org/works/W2790919850.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1967018009","https://openalex.org/W1991567646","https://openalex.org/W2044899044","https://openalex.org/W2074813965","https://openalex.org/W2138772438","https://openalex.org/W2189212421","https://openalex.org/W2312857956","https://openalex.org/W2403444434","https://openalex.org/W2407411528","https://openalex.org/W2751862591","https://openalex.org/W2963623491","https://openalex.org/W3041296043","https://openalex.org/W3099255545","https://openalex.org/W4299432846"],"related_works":["https://openalex.org/W2323218782","https://openalex.org/W4366831151","https://openalex.org/W2021262032","https://openalex.org/W4289107413","https://openalex.org/W2168240415","https://openalex.org/W4243223523","https://openalex.org/W2030999124","https://openalex.org/W2002479933","https://openalex.org/W2057439852","https://openalex.org/W2584569411"],"abstract_inverted_index":{"We":[0],"give":[1],"unified":[2],"simple":[3],"proofs":[4],"of":[5,16],"some":[6],"binomial":[7],"identities,":[8],"by":[9],"using":[10],"an":[11],"elementary":[12],"identity":[13],"on":[14],"moments":[15],"random":[17],"variables.":[18]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}