Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 Sayı: 1

Some results on dynamic discrimination measures of order ($\alpha$, $\beta$)

Pages
179–188
Publication Date
2015-02-01
DOI
—
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AI Summary & Key Takeaways

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

Finally, characterization results of the proportional hazards and proportional reversed hazards models are given.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we propose two measures of discrimination of order ($\alpha$, $\beta$) for residual and past lifetimes.
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Key Findings & Data:Lower and upper bounds of the proposed measures are derived.
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Conclusion & Impact:Finally, characterization results of the proportional hazards and proportional reversed hazards models are given.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Residual lifetimes · past lifetimes · hazard rate function

Abstract

In this paper we propose two measures of discrimination of order ($\alpha$, $\beta$) for residual and past lifetimes. Lower and upper bounds of the proposed measures are derived. Some bounds are obtained by considering weighted distributions and subsequently, examples are presented. Finally, characterization results of the proportional hazards and proportional reversed hazards models are given.

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Cite This Article

KAYAL, S. (2015). Some results on dynamic discrimination measures of order ($\alpha$, $\beta$). Hacettepe Journal of Mathematics and Statistics, Cilt: 44 Sayı: 1, 179–188. https://ajindex.com/articles/929276

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