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Dergiler / 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
Sayfa
—
Yayın Tarihi
2023-03-31
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The discrete Pareto distribution can be considered as a lifetime distribution and then is widely used in practice.
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Temel Bulgular & Veri:It follows the power law tails property which makes it as a candidate model for natural phenomena.
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Sonuç & Katkı:The proposed model is an alternative model for analyzing data sets in which the linear models have poor performance.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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