APT-Pareto Dağılımı ve Özellikleri

Yıl 2019, Cilt: 40 Sayı: 2, 378 - 387, 30.06.2019

İsmail Kınacı Coşkun Kuş Kadir Karakaya Yunus Akdoğan

https://doi.org/10.17776/csj.469493

Cited By: 5

Öz

Son zamanlarda, APT-dağılım ailesi adında yeni bir dağılım ailesi
tanıtılmıştır. Bu dağılım ailesi için üstel dağılım durumunu detaylı bir
şekilde ele alınmıştır. Bu makalede, APT-dağılım ailesinde Pareto dağılımı
çalışılmıştır. APT-Pareto dağılımına ilişkin momentler, hazard fonksiyonu,
yaşam fonksiyonu gibi özellikleri elde edilmiştir. En çok olabilirlik ve en
küçük kareler yöntemleri tartışılmıştır. 
Tahmin edicilerin yan ve hata kareler ortalamalarını elde edebilmek için
simülasyon çalışması yapılmıştır. APT-Pareto dağılımının modellemedeki
kullanılabilirliğini göstermek amacıyla gerçek bir veri uygulaması yapılmıştır.

Anahtar Kelimeler

Dağılımlar ailesi, Tahmin, Pareto dağılımı, Simülasyon

APT-Pareto Distribution and its Properties

Öz

Recently, the APT-family has been introduced as a new family of
distributions. A special case of this family with exponential distribution is
examined in details. In this paper, Pareto is considered as a baseline
distribution in APT-family. Several properties of the APT-Pareto distribution
such as the moments, hazard rate and survival functions are derived. The
maximum likelihood and least square methods are discussed. Simulation study is
also performed to get the bias and mean square errors of estimates. A numerical
example is given to illustrate the capability of APT-Pareto distribution for
modelling real data.

Anahtar Kelimeler

Distribution family, Pareto distribution, Estimation, Simulation

Kaynakça

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