期刊名称：Electronic Journal of Applied Statistical Analysis
电子版ISSN：2070-5948
出版年度：2019
卷号：12
期号：1
页码：223-244
DOI：10.1285/i20705948v12n1p223
出版社：University of Salento
摘要：This paper introduces a generalization of moment exponential distribution
so called Kumaraswamy Moment Exponential distribution. The limit
behaviour of its density and hazard functions are described. Some properties
of the proposed distribution are discussed including moments, skewness,
kurtosis, quantile function, and mode. Characterizations based on truncated
moments and hazard function are presented. Ri and q-entropies, mean residual
life (MRL) and mean inactivity time (MIT) of X, and order statistics are
determined. The maximum likelihood estimation (MLE) is used to estimate
the model parameters. Two real data sets are used to compare the KwME
distribution with other competitive models and concluded that it could serve
as a better alternative lifetime distribution than existing well known models.
其他摘要：This paper introduces a generalization of moment exponential distribution so called Kumaraswamy Moment Exponential (KwME) distribution. The limit behaviour of its density and hazard functions are described. Some properties of the proposed distribution are discussed including moments, skewness, kurtosis, quantile function, and mode. Characterizations based on truncated moments and hazard function are presented. Rényi and q-entropies, mean residual life (MRL) and mean inactivity time (MIT) of X, and order statistics are determined. The maximum likelihood estimation (MLE) is used to estimate the model parameters. Two real data sets are used to compare the KwME distribution with other competitive models and concluded that it could serve as a better alternative lifetime distribution than existing well known models.
