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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 10 Sayı: 2

Increasing the Efficiency of Percentile Parameter Estimation Method for Weibull Distribution

Weibull Dağılımı için Persentil Parametre Tahmin Yönteminin Etkinliğinin Artırılması

Ülkü Erişoğlu(Necmettin Erbakan University)0000-0002-9826-3460
Murat Erisoglu(Necmettin Erbakan University)0000-0002-4589-1383
Tayfun Servi(ADIYAMAN UNIVERSITY)0000-0002-3173-327X
Pages
483–493
Publication Date
2020-12-30
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AI Summary & Key Takeaways

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

In this study, the appropriate empirical distribution function and percentile points were determined to increase the efficiency of the percentile method for two-parameter Weibull distribution by simulation study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Weibull distribution is one of the most widely used probability distributions in statistical applications.
📊
Key Findings & Data:The percentile parameter estimation method is commonly used in parameter estimation of the two-parameter Weibull distribution in terms of easy computability and efficiency.
💡
Conclusion & Impact:In this study, the appropriate empirical distribution function and percentile points were determined to increase the efficiency of the percentile method for two-parameter Weibull distribution by simulation study.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Weibull dağılımı · Persentil tahmin · Ampirik dağılım fonksiyonu

Abstract

The Weibull distribution is one of the most widely used probability distributions in statistical applications. The percentile parameter estimation method is commonly used in parameter estimation of the two-parameter Weibull distribution in terms of easy computability and efficiency. The effectiveness of the percentile method depends on the selected percentile points and chosen empirical distribution function. In this study, the appropriate empirical distribution function and percentile points were determined to increase the efficiency of the percentile method for two-parameter Weibull distribution by simulation study.

Özet

Weibull dağılımı istatistiksel uygulamalarda en yaygın kullanılan olasılık dağılımlarından biridir. Persentil parametre tahmin yöntemi kolay hesaplanama ve etkinlik açısından iki parametreli Weibull dağılımının parametre tahmininde yaygın olarak kullanılır. Persentil yönteminin etkinliği seçilen persentil noktalara ve seçilen ampirik dağılım fonksiyonuna bağlıdır. Bu çalışmada, simülasyon çalışması ile iki parametreli Weibull dağılımı için persentil yönteminin etkinliğini artırmak amacıyla uygun ampirik dağılım fonksiyonu ve persentil noktaları belirlenmiştir.

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Cite This Article

Erişoğlu, Ü., Erisoglu, M., Servi, T. (2020). Increasing the Efficiency of Percentile Parameter Estimation Method for Weibull Distribution. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 Sayı: 2, 483–493. https://doi.org/10.37094/adyujsci.757642

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References (8)

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