具有递增、递减和常形危险曲线的广义指数分布

IF 0.6 Q4 STATISTICS & PROBABILITY Electronic Journal of Applied Statistical Analysis Pub Date : 2019-04-26 DOI:10.1285/I20705948V12N1P223
Sharqa Hashmi, M. A. Haq, R. Usman
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引用次数: 3

摘要

本文介绍了矩指数分布的一个推广,即Kumaraswamy矩指数分布。描述了其密度的极限行为和危险函数。讨论了所提出分布的一些性质,包括矩、偏度、峰度、分位数函数和模。给出了基于截断矩和危险函数的特征描述。确定了X的仁义熵和q熵、平均剩余寿命(MRL)和平均不活动时间(MIT)以及阶数统计量。最大似然估计(MLE)用于估计模型参数。使用两个真实数据集将KwME分布与其他竞争模型进行比较,得出结论,它可以作为比现有已知模型更好的替代寿命分布。
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A generalized exponential distribution with increasing, decreasing and constant shape hazard curves
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. Renyi 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.
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14.30%
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