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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 2

Comparing discrete Pareto populations under a fixed effects model

Mohammad Baratnia(‎Ferdowsi University of Mashhad)0000-0003-2089-6652
Abdolhamid Rezaei Roknabady(‎Ferdowsi University of Mashhad‎)0000-0002-3420-9027
Mahdi Doostparast(‎Ferdowsi University of Mashhad‎)0000-0002-4614-8137
Pages
—
Publication Date
2023-03-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The proposed model is an alternative model for analyzing data sets in which the linear models have poor performance.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The discrete Pareto distribution can be considered as a lifetime distribution and then is widely used in practice.
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Key Findings & Data:It follows the power law tails property which makes it as a candidate model for natural phenomena.
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Conclusion & Impact:The proposed model is an alternative model for analyzing data sets in which the linear models have poor performance.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Non-linear models · one-way classification · fixed effects

Abstract

The discrete Pareto distribution can be considered as a lifetime distribution and then is widely used in practice. It follows the power law tails property which makes it as a candidate model for natural phenomena. This paper deals with comparison of discrete Pareto populations by proposing a non-linear fixed effects model. Estimators for the factor effects are derived in explicit expressions. Stochastic properties of the estimators are studied in details. A test for assessing the homogeneity of populations is proposed. Illustrative examples are also given. The proposed model is an alternative model for analyzing data sets in which the linear models have poor performance.

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Cite This Article

Baratnia, M., Roknabady, A. R., Doostparast, M. (2023). Comparing discrete Pareto populations under a fixed effects model. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 2. https://doi.org/10.15672/hujms.820849

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