A new heavy-tailed Topp-Leone-G power series class of distributions with applications

Gomolemo Jacqueline Lekono, Thatayaone Moakofi, Broderick Oluyede and Lesego Gabaitiri

International Journal of Operational Research, 2025, vol. 54, issue 3, 334-371

Abstract: We propose a new heavy-tailed distribution, namely, type I heavy-tailed Topp-Leone-G power series class of distributions. Statistical properties including quantile function, hazard rate function, probability weighted moments, distribution of order statistics and Rényi entropy are presented. Maximum likelihood estimation method is used to obtain estimates of the parameters of the new class of distributions, and Monte Carlo simulation is used to assess the consistency of the estimators. Illustration of the usefulness and applicability of the new class of distributions is done by analysing four real life datasets from different fields.

Keywords: applicability; estimation methods; heavy-tailed; power series; Topp-Leone. (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=149707 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:54:y:2025:i:3:p:334-371

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().