Buğra SARAÇOĞLU, Caner TANIŞ, Merve ÇOKBARLI

Log-Dagum Dağılımı İçin Yaklaşık Bayes Tahmini

Bu makalede, log-Dagum dağılımı için yaklaşık Bayes tahmini problemi düşünüldü. İlk olarak, Log- Dagum dağılımının bilinmeyen parametreleri için en çok olabilirlik tahmin edicileri ve bu tahmin edicilere dayalı asimptotik güven aralıkları oluşturuldu. Ayrıca, bu dağılımın bilinmeyen parametreleri için karesel kayıp fonksiyonu altında yaklaşık Bayes tahmin edicileri Tierney and Kadane yaklaşımı kullanılarak elde edildi. Bu tahmin edicilerin performanslarını, hata kareler ortalaması ve yan bakımından karşılaştırmak için bir Monte- Carlo simülasyon çalışması gerçekleştirilmiştir. Son olarak bu dağılım için gerçek veri analizi gerçekleştirilmiştir.

Approximate Bayes Estimation for Log-Dagum Distribution

In this article, the approximate Bayes estimation problem for the log-Dagum distribution with threeparameters is considered. Firstly, the maximum likelihood estimators and asymptotic confidence intervals basedon these estimators for unknown parameters of log-Dagum distribution are constructed. In addition,approximate Bayes estimators under squared error loss function for unknown parameters of this distribution areobtained using Tierney and Kadane approximation. A Monte-Carlo simulation study is performed to compareperformances of maximum likelihood and approximate Bayes estimators in terms of mean square errrors andbiases. Finally, real data analysis for this distribution is performed.

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