A discrete truncated Zipf distribution. (11th October 2022)

• Record Type: Journal Article
• Authors: Boamah‐Addo, Kwame; Kozubowski, Tomasz J.; Panorska, Anna K.
• Is Part Of: Statistica Neerlandica. Volume 77:Number 2(2023)
• Page Start: 156
• Page End: 187
• Publication Date: 2022-10-11
• Subjects: count data -- discrete Pareto distribution -- financial data -- heavy tail -- maximum likelihood estimation -- power law -- truncated Pareto distribution -- Zeta distribution; Statistics -- Periodicals; 519.5; 314.92
• DOI: 10.1111/stan.12280
• Languages: English
• ISSNs: 0039-0402

Abstract

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.