ALFA GÜÇ BURR-XII DAĞILIMI VE BİR UYGULAMA

Öz

Bu çalışmada, alfa güç Burr XII (AGBXII) dağılımı önerilerek, dağılımın olasılık yoğunluk fonksiyonu, dağılım fonksiyonu elde edilmiş ve grafikleri çizdirilmiştir. Yaşam, hazard ve kantil fonksiyonları hesaplanmış ayrıca çeyreklik değerleri, medyan, basıklık ve çarpıklık değerleri önemli istatistik özellikleri elde edilmiştir. Daha sonra olabilirlik fonksiyonu ve olabilirlik denklemi elde edilmiş, gerçek veri üzerinden uygulama çalışması yapılmıştır. Parametre değerleri tahmin edilerek, gerçek veriye uyumu test edilmiştir. Hesaplanan uyum iyiliği değerlerine göre veri setine ters Rayleigh (TR) dağılımından daha iyi uyum sağladığı gösterilmiştir.

Anahtar Kelimeler

• Alfa güç dönüşümü,Burr XII dağılımı,En Çok Olabilirlik Tahmini,Kantil Fonksiyonu

ALFA POWER BURR-XII DISTRIBUTION AND AN APPLICATION

Abstract

In this study, by proposing the distribution of alpha power Burr XII (AGBXII), the probability density function, distribution function are obtained and the graphs are presented. Survival, hazard and quantile functions were derived, and important statistical properties such as quantile, median, kurtosis and skewness values were obtained. Then, the likelihood function and likelihood equation were obtained, and an application study was carried out on real data. Parameter values were estimated and their compliance with the actual data was tested. According to the calculated goodness of fit values, AGBXII has been shown to better match to the data set the inverse Rayleigh (TR) distribution.

Keywords

• Alpha power transformation,Burr XII distribution,Maximum likelihood estimation,Quantile function

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