变形几何二次型危险率分布:发展、性质、特征及应用

Q2 Mathematics

Journal of Statistical Distributions and Applications Pub Date : 2018-08-13 DOI:10.1186/s40488-018-0085-8

Fiaz Ahmad Bhatti, G. G. Hamedani, Mustafa Ç. Korkmaz, Munir Ahmad

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引用次数: 6

摘要

我们通过应用Afify等人的transmeded geometric- g (TG-G)族，提出了由二次风险率(QHR)、几何和转化分布混合而成的五参数转化几何二次风险率(TG-QHR)分布(Pak J Statist 32(2)， 139-160, 2016)。研究了它的一些结构特性。从理论上讨论了矩、不完全矩、不等式测度、剩余生命函数和其他一些性质。TG-QHR分布是通过不同的技术表征的。利用极大似然法对TG-QHR分布参数进行估计。模拟研究是在图形结果的基础上进行的，以说明TG-QHR分布的最大似然估计(MLEs)的性能。通过对两个实际数据集的应用，通过不同的度量来检验TG-QHR分布的重要性和灵活性。

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The transmuted geometric-quadratic hazard rate distribution: development, properties, characterizations and applications

We propose a five parameter transmuted geometric quadratic hazard rate (TG-QHR) distribution derived from mixture of quadratic hazard rate (QHR), geometric and transmuted distributions via the application of transmuted geometric-G (TG-G) family of Afify et al.(Pak J Statist 32(2), 139-160, 2016). Some of its structural properties are studied. Moments, incomplete moments, inequality measures, residual life functions and some other properties are theoretically taken up. The TG-QHR distribution is characterized via different techniques. Estimates of the parameters for TG-QHR distribution are obtained using maximum likelihood method. The simulation studies are performed on the basis of graphical results to illustrate the performance of maximum likelihood estimates (MLEs) of the TG-QHR distribution. The significance and flexibility of TG-QHR distribution is tested through different measures by application to two real data sets.

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来源期刊

Journal of Statistical Distributions and Applications Decision Sciences-Statistics, Probability and Uncertainty

自引率

0.00%

发文量

审稿时长

13 weeks