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Journals / Afyon Kocatepe Üniversitesi Fen Bilimleri Dergisi / 2005 / Cilt: 5 - Sayı: 1-2

Parameter estimation of the burr XII distribution and expected test time based on first failure-censored sampling plan

İlk bozulma sansürlü örnekleme planına dayalı burr XII dağılımının parametrelerinin tahmini ve beklenen test süresi

Coşkun KUŞ
Mehmet Fedai KAYA
Pages
113–130
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Also expected test time is calculated based on first failure-censored sampling plan and it is compared expected test time of complete sampling plan.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, first failure-censored sampling plan is considered.
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Key Findings & Data:Estimators of the parameters of Burr XII distribution are obtained paralel to Menon's [1] method and their properties are investigated via Monte Carlo simulation.
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Conclusion & Impact:Also expected test time is calculated based on first failure-censored sampling plan and it is compared expected test time of complete sampling plan.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, first failure-censored sampling plan is considered. Estimators of the parameters of Burr XII distribution are obtained paralel to Menon's [1] method and their properties are investigated via Monte Carlo simulation. Confidence interval and joint confidence region for the parameters are obtained. Also expected test time is calculated based on first failure-censored sampling plan and it is compared expected test time of complete sampling plan.

Özet

Bu çalışmada, ilk bozulma sansürlü örnekleme planı ele alınmıştır. Burr XII dağılımının parametrelerinin yeni nokta tahmin edicileri Menon'un [1] yöntemine benzer olarak elde edilmiş, özellikleri Monte Carlo simulasyon çalışması yapılarak incelenmiştir. Parametreler için güven aralıkları ve güven bölgeleri elde edilmiştir. Ayrıca ilk bozulma sansürlü örneklem planına dayalı beklenen test süresi hesaplanmış ve tam örnekleme planınki ile karşılaştırılmıştır.

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Cite This Article

KUŞ, C., KAYA, M. F. (2022). Parameter estimation of the burr XII distribution and expected test time based on first failure-censored sampling plan. Afyon Kocatepe Üniversitesi Fen Bilimleri Dergisi, Cilt: 5 - Sayı: 1-2, 113–130. https://ajindex.com/articles/429521

References (1)

  1. Menon M.V. Estimation of the shape and scale parameters of the Weibull distribution, Technometrics, 5, 175-182, (1963). 2.Burr I. W. Cumulative frequency function, Annals Math. Stat. 13, 215-232. (1942). 3.Zimmer W.J., Keats, J.B., Wang F.K., The Burr XII distribution in reliability analysis. J. Qual. Tech., 30, 386-394, (1998). 4.Wingo D.R. Maximum likelihood methods for fitting the Burr Type XII distribution to life test data, Biometrical J., 25, 77-84, (1983). 5.Klugman S.A., Loss distributions. Proceedings of Symposia in Applied Mathematics: Actuarial Mathematics, 35, 31-55, (1986). 6.Balasooriya U., Failure-censored reliability sampling pains for the exponential distribution. Journal of Statistical Computations and Simulation, 52, 337-349,(1995). 7.Johnson N.L., Kotz S., Balakrishnan N., Continuous Univariate Distributions, 2,second ed., John Wiley and Sons, New York, (1995). 8.Kuş, C., Bazı Yaşam Zamanı Dağılımlarının Parametrelerinin Tam ve Sansürlü Verilere Dayalı Tahmini, Doktora Tezi, Selçuk Üniversitesi, Fen Bilimleri Enstitüsü, (2004)