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Journals / Cumhuriyet Science Journal / 2019 / Cilt: 40 - Sayı: 2

APT-Pareto Distribution and its Properties

APT-Pareto Dağılımı ve Özellikleri

Kadir KARAKAYA
Yunus AKDOĞAN
Coşkun KUŞ
İsmail KINACI
Pages
378–387
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

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

A numerical example is given to illustrate the capability of APT-Pareto distribution for modelling real data.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Recently, the APT-family has been introduced as a new family of distributions.
📊
Key Findings & Data:Several properties of the APT-Pareto distribution such as the moments, hazard rate and survival functions are derived.
💡
Conclusion & Impact:A numerical example is given to illustrate the capability of APT-Pareto distribution for modelling real data.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Recently, the APT-family has been introduced as a new family of distributions. A special case of this family with exponential distribution is examined in details. In this paper, Pareto is considered as a baseline distribution in APT-family. Several properties of the APT-Pareto distribution such as the moments, hazard rate and survival functions are derived. The maximum likelihood and least square methods are discussed. Simulation study is also performed to get the bias and mean square errors of estimates. A numerical example is given to illustrate the capability of APT-Pareto distribution for modelling real data.

Özet

Son zamanlarda, APT-dağılım ailesi adında yeni bir dağılım ailesi tanıtılmıştır. Bu sağılım ailesi için üstel dağlım durumunu detayl bir şekilde ele alınmıştır. Bu makalede, APT-dağılım ailesinde Pareto dağılımı çalışılmıştır. APT-Pareto dağılımına ilişkin momentler, hazard fonksiyonu, yaşam fonksiyonu gibi özellikleri elde edilmiştir. En çok olabilirlik ve en küçük kareler yöntemleri tartışılmıştır. Tahmin edicilerin yan ve hata kareler ortalamalarını elde edebilmek için simülasyon çalışması yapılmıştır. APT-Pareto dağılımının modellemedeki kullanılabilirliğini göstermek amacıyla gerçek bir veri uygulaması yapılmıştır.

🔖

Cite This Article

KARAKAYA, K., AKDOĞAN, Y., KUŞ, C., KINACI, İ. (2022). APT-Pareto Distribution and its Properties. Cumhuriyet Science Journal, Cilt: 40 - Sayı: 2, 378–387. https://ajindex.com/articles/477815

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