Üstel Model Uygulamaları ile Genelleştirilmiş Dağılımların Yeni Bir Kumaraswamy Sınıfı

Year 2021, Volume: 2 Issue: 2, 29 - 47, 27.12.2021

Mohamed Ahmed

https://doi.org/10.52693/jsas.979832

Abstract

Bu yazıda, alfa gücü Kumaraswamy (AK) sınıfı olarak adlandırılan yeni bir genelleştirilmiş dağılım sınıfı türetilmiştir, AK sınıfı tarafından üç önemli dağılım sınıfı iç içe yerleştirilmiştir. Bazı matematiksel özellikler incelenir ve maksimum olabilirlik (MLE) kullanılarak bir parametre tahmin yöntemi elde edilir. Alfa gücünün tahmin edici davranışını incelemek için önyükleme yaklaşımı kullanan bir simülasyon çalışması yapılmıştır.
(AKE) dağıtımı. AKE dağılımının esnekliğini göstermek için gerçek bir veri seti araştırılır.

Keywords

Alfa gücü Kumarasamy dağılımı, anlar, sıra istatistikleri, maksimum olabilirlik tahmini, önyükleme yaklaşımı.

A New Kumaraswamy Class of Generalized Distributions with Applications to Exponential Model.

Abstract

In this paper, a new class of generalized distributions, so-called the alpha power
Kumaraswamy (AK) class, is derived, three important classes of distributions are nested by
the AK class. Some mathematical properties are studied and a parameters estimation method
using maximum likelihood (MLE) is obtained. A simulation study using bootstrapping
approach is performed to study the estimators behavior of the alpha power Kumaraswamyexponential
(AKE) distribution. A real data set is investigated to illustrate the flexibility of the
AKE distribution.

Keywords

The alpha power Kumarasamy distribution, moments, order statistics, maximum likelihood estimation, bootstrapping approach

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