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Abstract

ABSTRACT

This articles introduces a new lifetime model called the generalized transmuted Kumaraswamy distribution which extends the Kumaraswamy distribution from the family proposed by Nofal et al., (2017). We provide hazard and survival functions of the proposed distribution. The statistical properties of the proposed model are provided and the method of Maximum Likelihood Estimation (MLE) was proposed in estimating its parameters.

Keywords

Keywords Generalized Transmuted Kumaraswamy distribution hazard function moment generating function survival function and order statistics.

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Author Biographies

Aliyu Ismail Ishaq, Ahmadu Bello University, Zaria-Nigeria

Department of Statistics, Faculty of Physical Science, Ahmadu Bello University, Zaria-Nigeria/ Assistant Lecturer

Abubakar Usman, Ahmadu Bello University, Zaria-Nigeria

Department of Statistics, Faculty of Physical Science, Ahmadu Bello University, Zaria-Nigeria/ Assistant Lecturer

Tasiu Musa, Ahmadu Bello University, Zaria-Nigeria

Department of Statistics, Faculty of Physical Science, Ahmadu Bello University, Zaria-Nigeria/ Lecturer II

Samson Agboola, Ahmadu Bello University, Zaria-Nigeria

Department of Statistics, Faculty of Physical Science, Ahmadu Bello University, Zaria-Nigeria