Dagum Power Series Class of Distribution with Applications to Lifetime Data

Research & Reviews: Journal of Statistics and Mathematical Sciences

article

Boikanyo Makubate¹  Broderick Oluyede²  Galetlhakanelwe Motsewabagale³ 

[1] 1Botswana International University of Science and Technology Palapye;Georgia Southern University;Galetlhakanelwe Motsewabagale, Botswana International University of Science and Technology

关键词: Dagum distribution;    Dagum power series distribution;    Dagum poisson distribution;    Dagum geometric distribution;    Dagum logarithmic distribution;   

来源: Research & Reviews

【 摘 要 】

We present a new class of distributions called the Dagum-Power Series (DPS) distribution. This model is obtained by compounding Dagum distribution with the power series distribution. Statistical properties of the DPS distribution are obtained. Methods of finding estimators including maximum likelihood estimation will be discussed. A simulation study is carried out for the special case of Dagum-Poisson distribution to assess the performance of the DPS distribution. Finally, we apply the special case of Dagum geometric and Dagum Poisson in the class of (DPS) distributions to real data sets to illustrate the usefulness and applicability of the distributions.

【 授权许可】

Unknown