論文

2018年7月18日

On discrete distributions generated from drawing balls with bivariate labels

Communications in Statistics - Theory and Methods
  • Kiyoshi I. Noue
  • ,
  • Sigeo Aki

47
14
開始ページ
3532
終了ページ
3546
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1080/03610926.2017.1359300
出版者・発行元
Taylor and Francis Inc.

In this article, we consider urn models under three types of sampling schemes in terms of the probability-generating functions. The tools are developed for the evaluation of the distributions arising from the urn models along with some examples. Furthermore, the distributions are investigated by making use of the Bell polynomials. The results presented here provide a wide framework for developing the theory of urn models. As examples, we propose new class of probability models, which are called multiple-player problems and examine their properties. Finally, we treat the parameter estimation problem in the waiting time distributions with a numerical example.

リンク情報
DOI
https://doi.org/10.1080/03610926.2017.1359300

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