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.

中文翻译：

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geometric变的几何二次危险率分布：发展，性质，特征和应用

我们通过应用Afify等人的变换几何G（TG-G）系列，提出了由二次危险率（QHR），几何分布和变换分布的混合得出的五参数变换几何二次危险率（TG-QHR）分布。 （朴J Statist 32（2），139-160，2016）。研究了其一些结构特性。理论上考虑了力矩，不完全矩，不等式，剩余寿命函数和其他一些特性。TG-QHR分布通过不同的技术进行表征。TG-QHR分布的参数估计值是使用最大似然法获得的。仿真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（MLE）的性能。