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Journals / Dokuz Eylül Üniversitesi Sosyal Bilimler Enstitüsü Dergisi / 2013 / Cilt: 15 - Sayı: 4

A Study Based on Using Pearson Distribution Family on Reliability Analysis

Pearson Dağılış Ailesinin Güvenilirlik Analizinde Kullanılması Üzerine Bir Çalışma

Ali ŞEHİRLİOĞLU
Mustafa ÜNLÜ
Pages
693–703
Publication Date
2014-03-20
DOI
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AI Summary & Key Takeaways

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

Then conditional moments and asymmetry measures will be analysed for that structure.Keywords: Reliability Analysis, Pearson Differantial Equation System, Conditional Moments.

📌 3 Key Takeaways

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Objective & Hypothesis:AbstractAll products or systems that we use in daily life, degrade in time so, they ultimately fail.
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Key Findings & Data:It is very crucial for manufacturers to forecast the reasons of the failures before.
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Conclusion & Impact:Then conditional moments and asymmetry measures will be analysed for that structure.Keywords: Reliability Analysis, Pearson Differantial Equation System, Conditional Moments.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Güvenilirlik Analizi · Kübik Paydalı Pearson Diferansiyel · Reliability Analysis

Abstract

AbstractAll products or systems that we use in daily life, degrade in time so, they ultimately fail. It is very crucial for manufacturers to forecast the reasons of the failures before. With that perspective reliability analysis is carried out to determine the potential lifetime of products. Failure time’s distribution is the basis of the reliability analysis. While determining the proper distribution, some statistical methods can be used. Cumulative distribution, reliability function, hazard function, mean residual life, variance residual life are most common tools to determine proper distribution in reliability analysis. At the same time failure distributions can be characterized by using relations between these functions.Pearson Differantial Equation System includes many distributions which are also used in reliability analysis commonly. Because of this it plays a very important role in reliability analysis. In this study, Pearson Differantial Equation System's cubic denominator structure which derives asymmetric distribution will be handled. Then conditional moments and asymmetry measures will be analysed for that structure.Keywords: Reliability Analysis, Pearson Differantial Equation System, Conditional Moments.

Özet

ÖzGünlük hayatımızda kullandığımız tüm ürünler veya sistemler zaman içinde yıpranmakta ve bunun sonucunda da bozulmaktadır. Üreticiler açısından bu olası yıpranma ve bozulmaların sebeplerinin önceden bilinmesi hayati önem taşımaktadır. Bu bakış açısıyla ürünlerin potansiyel yaşamlarının belirlenmesi amacına yönelik güvenilirlik analizi çalışmaları yapılmaktadır. Güvenilirlik analizinin temelinde hata sürelerinin dağılımı vardır. Uygun dağılım belirlenirken çeşitli istatistiksel araçlardan yararlanılabilir. Güvenilirlik analizinde genellikle kümülatif dağılım fonksiyonu, güvenilirlik fonksiyonu, hazard fonksiyonu, ortamla artık yaşam fonksiyonu ve artık yaşam varyansı bu dağılımı belirlemede kullanılan en yaygın araçlardır. Aynı zamanda hata dağılışları bu fonksiyonlar arasındaki ilişkilerden yararlanılarak karakterize edilebilmektedir. Pearson diferansiyel denklem sistemi, güvenilirlik analizinde kullanılan birçok dağılışı içerisinde barındırmaktadır. Bu nedenle güvenilirlik analizinde önemli bir yeri vardır. Bu çalışmada Pearson diferansiyel denklem sisteminin, asimetrik dağılım türeten kübik paydalı bir yapısı ele alınacaktır. Daha sonra bu yapı için koşullu momentler ile asimetri ölçüleri incelenecektir.Anahtar Kelimeler: Güvenilirlik Analizi, Kübik Paydalı Pearson Diferansiyel Denklem Sistemi, Koşullu Momentler.

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Cite This Article

ŞEHİRLİOĞLU, A., ÜNLÜ, M. (2014). A Study Based on Using Pearson Distribution Family on Reliability Analysis. Dokuz Eylül Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, Cilt: 15 - Sayı: 4, 693–703. https://ajindex.com/articles/67751

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