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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study the estimation problems for the two-parameter bathtub-shaped lifetime distribution based on upper record values.
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Key Findings & Data:A simulation study is done for the performance of all proposed confidence intervals and regions.
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Conclusion & Impact:Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Confidence interval · Joint condidence region · Monte Carlo simulation
Abstract
In this paper, we study the estimation problems for the two-parameter bathtub-shaped lifetime distribution based on upper record values. Exact condifence intervals and exact confidence regions for the parameters are constructed. Approximate confidence intervals and regions are also dis ussed based on the asymptoti normality of the maximum likelihood estimators. A simulation study is done for the performance of all proposed confidence intervals and regions. Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here.
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Cite This Article
ASGHARZADEH, A., ABDİ, M., WU, S. (2022). Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 2, 399–416. https://ajindex.com/articles/530280