A discrete truncated Zipf distribution

IF 1.4 3区数学 Q2 STATISTICS & PROBABILITY

Statistica Neerlandica Pub Date : 2022-09-26 DOI:10.1111/stan.12280

Kwame Boamah-Addo, T. Kozubowski, A. Panorska

引用次数: 0

Abstract

We provide a comprehensive account of fundamental properties of a truncated discrete Zipf distribution, complementing the results available in the literature. In particular, we obtain results on existence and uniqueness of maximum likelihood parameter estimators and propose new testing methodology for the shape parameter. We also include data examples illustrating applicability of this stochastic model.

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一个离散的截断Zipf分布

我们提供了截断离散Zipf分布的基本性质的全面说明，补充了文献中可用的结果。特别地，我们得到了极大似然参数估计的存在唯一性的结果，并提出了形状参数的新的检验方法。我们还提供了数据示例来说明该随机模型的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistica Neerlandica 数学-统计学与概率论

CiteScore

2.60

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Statistica Neerlandica has been the journal of the Netherlands Society for Statistics and Operations Research since 1946. It covers all areas of statistics, from theoretical to applied, with a special emphasis on mathematical statistics, statistics for the behavioural sciences and biostatistics. This wide scope is reflected by the expertise of the journal’s editors representing these areas. The diverse editorial board is committed to a fast and fair reviewing process, and will judge submissions on quality, correctness, relevance and originality. Statistica Neerlandica encourages transparency and reproducibility, and offers online resources to make data, code, simulation results and other additional materials publicly available.