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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 - Sayı: 2

A multi-objective programming approach to Weibull parameter estimation

Emre KOÇAK
Ecem DEMİR YURTSEVEN
H. Hasan ÖRKCÜ
Sayfa
543–558
Yayın Tarihi
2022-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results illustrated that the proposed multi-objective programming approach provides quite accurate parameter estimates for the two parameter Weibull distribution with respect to deficiency criteria.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Weibull distribution is widely used in various areas such as life tables, failure rates, and definition of wind speed distribution.
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Temel Bulgular & Veri:To evaluate the applicability and performance of the proposed approach, a detailed Monte Carlo simulation study based on deficiency criteria and a real data application are designed.
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Sonuç & Katkı:The results illustrated that the proposed multi-objective programming approach provides quite accurate parameter estimates for the two parameter Weibull distribution with respect to deficiency criteria.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Weibull parameter estimation · multi-objective programming · NSGA-II

Abstract

Weibull distribution is widely used in various areas such as life tables, failure rates, and definition of wind speed distribution. Therefore, parameter estimation for the Weibull distribution is an important problem in many real data applications. The least square (LS), the weighted least square (WLS) and the maximum likelihood (ML) are the most popular methods for the parameter estimation in the Weibull distribution. In this study, based on the LS, WLS and ML estimation methods, a multi-objective programming approach is proposed for the parameter estimation of two-parameter Weibull distribution. This new approach evaluates together LS, WLS and ML methods in the estimation process. NSGA-II method, which is a multi-objective heuristic optimization method, is used to solve the proposed multi-objective estimation model. To evaluate the applicability and performance of the proposed approach, a detailed Monte Carlo simulation study based on deficiency criteria and a real data application are designed. The results illustrated that the proposed multi-objective programming approach provides quite accurate parameter estimates for the two parameter Weibull distribution with respect to deficiency criteria.

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Bu Makaleye Atıf Yap

KOÇAK, E., YURTSEVEN, E. D., ÖRKCÜ, H. H. (2022). A multi-objective programming approach to Weibull parameter estimation. Hacettepe Journal of Mathematics and Statistics, Cilt: 51 - Sayı: 2, 543–558. https://ajindex.com/articles/669228

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Kaynakça (15)

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