{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:29:00Z","timestamp":1761744540906,"version":"build-2065373602"},"reference-count":11,"publisher":"EDP Sciences","license":[{"start":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T00:00:00Z","timestamp":1761696000000},"content-version":"vor","delay-in-days":301,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Theor. Inf. Appl."],"accepted":{"date-parts":[[2025,6,26]]},"published-print":{"date-parts":[[2025]]},"abstract":"<jats:p>\n                    In this work, we establish local limit theorems for\n                    <jats:italic>q<\/jats:italic>\n                    - multinomial distributions of the first and second kind and of their discrete limits multiple Heine and multiple Euler distributions respectively. Specifically, the pointwise convergence of the\n                    <jats:italic>q<\/jats:italic>\n                    -multinomial distribution of the first kind, as well as for its discrete limit, the multiple Heine distribution, to a multivariate Stieltjes\u2013Wigert type distribution, are provided. Moreover, the pointwise convergence of the\n                    <jats:italic>q<\/jats:italic>\n                    -multinomial distribution of the second kind, as well as for its discrete limit, the multiple Euler distribution, to a multivariate deformed Gaussian distribution, are proved. Interesting applications of the asymptotic behaviour of q-multinomials distributions of the two kinds are presented.\n                  <\/jats:p>","DOI":"10.1051\/ita\/2025007","type":"journal-article","created":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T08:52:29Z","timestamp":1761727949000},"page":"14","source":"Crossref","is-referenced-by-count":0,"title":["On local limit theorems for\n                    <i>q<\/i>\n                    -multinomial distributions"],"prefix":"10.1051","volume":"59","author":[{"given":"Malvina","family":"Vamvakari","sequence":"first","affiliation":[{"name":"Department of Informatics and Telematics, Harokopio University of Athens","place":["Greece"]}]}],"member":"250","published-online":{"date-parts":[[2025,10,29]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"6080","DOI":"10.1080\/03610926.2019.1626427","volume":"49","author":"Vamvakari","year":"2020","journal-title":"Commun. Statist. Theory Methods"},{"key":"R2","doi-asserted-by":"crossref","first-page":"4088","DOI":"10.1080\/03610926.2015.1078476","volume":"46","author":"Kyriakoussis","year":"2017","journal-title":"Commun. Statist. Theory Methods"},{"key":"R3","doi-asserted-by":"crossref","first-page":"5673","DOI":"10.1080\/03610926.2020.1737711","volume":"50","author":"Charalambides","year":"2021","journal-title":"Commun. Statist. Theory Methods"},{"key":"R4","doi-asserted-by":"crossref","first-page":"4854","DOI":"10.1080\/03610926.2020.1825740","volume":"51","author":"Charalambides","year":"2022","journal-title":"Commun. Statist. Theory Methods"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"Charalambides C.A., Multivariate Discrete q-Distributions. Synthesis Lectures on Mathematics & Statistics. Springer Nature, Cham, Switzerland (2024).","DOI":"10.1007\/978-3-031-43713-7"},{"key":"R6","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/s11009-011-9231-1","volume":"15","author":"Kyriakoussis","year":"2013","journal-title":"Methodol. Comput. Appl. Probab."},{"key":"R7","doi-asserted-by":"crossref","first-page":"140","DOI":"10.3390\/axioms3020140","volume":"3","author":"Kyriakoussis","year":"2014","journal-title":"Axioms"},{"key":"R8","first-page":"283","volume":"58","author":"Kyriakoussis","year":"2019","journal-title":"Dev. Math."},{"key":"R9","unstructured":"Vamvakari M., Asymptotic behaviour of univariate and multivariate absorption distributions. Randomness Combinatorics, edited by Ferrari L. and Massazza P.. RAIRO Theor. Inform. Appl. 58 (2024)."},{"key":"R10","doi-asserted-by":"crossref","unstructured":"Charalambides C.A., Discrete q-Distributions. John Wiley & Sons, Hoboken, NJ (2016).","DOI":"10.1002\/9781119119128"},{"key":"R11","doi-asserted-by":"crossref","unstructured":"Vamvakari M., Local limit theorems for q-multinomial and multiple Heine Distributions, in Sre\u010dko Brlek and Luca Ferrari: Proceedings of the 13th edition of the conference on Random Generation of Combinatorial Structures. Polyominoes and Tilings (GASCom 2024), Bordeaux, France, 24\u201328th June 2024, Electronic Proceedings in Theoretical Computer Science, Vol. 403 (2024).","DOI":"10.4204\/EPTCS.403.0"}],"container-title":["RAIRO - Theoretical Informatics and Applications"],"original-title":[],"link":[{"URL":"https:\/\/www.rairo-ita.org\/10.1051\/ita\/2025007\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T08:52:41Z","timestamp":1761727961000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.rairo-ita.org\/10.1051\/ita\/2025007"}},"subtitle":[],"editor":[{"given":"Vincent","family":"Vajnovszki","sequence":"first","affiliation":[]},{"given":"Antonio","family":"Bernini","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":11,"alternative-id":["ita250022"],"URL":"https:\/\/doi.org\/10.1051\/ita\/2025007","relation":{},"ISSN":["0988-3754","2804-7346"],"issn-type":[{"value":"0988-3754","type":"print"},{"value":"2804-7346","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]}}}