Malvina VamvakariDept. Informatics and Telematics, Harokopio University of Athens, Greece
{"title":"q$$多项式和多重海涅分布的局部极限定理","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":"{\"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}","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}
Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions
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.
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