Malvina VamvakariDept. Informatics and Telematics, Harokopio University of Athens, Greece
{"title":"Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions","authors":"Malvina VamvakariDept. Informatics and Telematics, Harokopio University of Athens, Greece","doi":"arxiv-2406.16420","DOIUrl":null,"url":null,"abstract":"In this work we establish local limit theorems for q-multinomial and multiple\nHeine distributions. Specifically, the pointwise convergence of the\nq-multinomial distribution of the first kind, as well as for its discrete\nlimit, the multiple Heine distribution, to a multivariate Stieltjes-Wigert type\ndistribution, are provided.","PeriodicalId":501216,"journal":{"name":"arXiv - CS - Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16420","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this work we establish local limit theorems for q-multinomial and multiple
Heine distributions. Specifically, the pointwise convergence of the
q-multinomial distribution of the first kind, as well as for its discrete
limit, the multiple Heine distribution, to a multivariate Stieltjes-Wigert type
distribution, are provided.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
