Statistical Properties of Right-Truncated Lomax Distribution and an Application

Yıl 2022, Cilt: 38 Sayı: 2, 324 - 334, 23.08.2022

Ceren Ünal Gamze Özel

Öz

In this study, a new distribution, truncated Lomax distribution, is introduced. The Lomax distribution was used to obtain the distribution. The basic statistical properties of the obtained distribution are explained and probability density function, cumulative distribution function, hazard function, survival function, and quantile function are given. In addition, moments of skewness and kurtosis coefficients were obtained. The parameter estimation of the distribution was found using the maximum likelihood estimation method. Then, with an application study, it was concluded that the truncated Lomax distribution fits the data set of interest better than the distributions available in the literature.

Anahtar Kelimeler

Lomax Distribution, Truncated Distribution, Parameter Estimation.

Sağdan Kesilmiş Lomax Dağılımının İstatistiksel Özellikleri ve Bir Uygulama

Öz

Bu çalışmada yeni bir dağılım olan kesilmiş Lomax dağılımı tanıtılmıştır. Dağılımın elde edilmesinde, Lomax dağılımı kullanılmıştır. Elde edilen dağılımın temel istatistiksel özellikleri açıklanmış ve olasılık yoğunluk fonksiyonu, birikimli dağılım fonksiyonu, hazard fonksiyonu, yaşam fonksiyonu ve kantil fonksiyonu verilmiştir. Ayrıca momentlerine ulaşılmış, çarpıklık ve basıklık katsayıları elde edilmiştir. Dağılımın parametre tahmini en çok olabilirlik tahmin yöntemi ile bulunmuştur. Daha sonra bir uygulama çalışması ile kesilmiş Lomax dağılımının literatürde var olan dağılımlardan ilgilenilen veri kümesine daha iyi uyum gösterdiği sonucuna ulaşılmıştır.

Anahtar Kelimeler

Lomax Dağılımı, Kesilmiş Dağılım, Parametre Tahmini

Kaynakça

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