ABSTRACT

In this paper, the statistical inference of the lifetime performance index for the first failure progressive censoring schemes for the Topp Leone Alpha power exponential distribution (TLAPE) which excluded from a new structure of distribution models called T-Alpha Power X (T-APX) family is introduced. The proposed statistical inference of the lifetime performance index is applied on the High-Performance Liquid Chromatography data of blood samples from organ transplant recipients which is known as HPLC. The goodness of fit criteria of TLAPE for HPLC data proved the potentiality of TLAPE compared with other well-known distributions. This result has an effect on achieving the required results in testing procedure of the Lifetime performance index. Moreover, the statistical and reliability characteristics of TLAPE are studied. A simulation study is performed to examine the performance of the ML parameter estimates in terms of bias and mean square error. Two real data sets for survival and breast cancer are modeled using the TLAPE distribution and compared with other well-known distributions, to illustrate its performance. The results emphasize that the TLAPE distribution has a superior fitting performance to cancer data than the compared distributions.

摘要

在本文中，Topp Leone Alpha 幂指数分布 (TLAPE) 的第一个失效渐进式删失方案的寿命性能指数的统计推断，该分布模型从称为 T-Alpha Power X (T-APX) 的新分布模型结构中排除家庭介绍。寿命性能指数的拟议统计推断应用于器官移植受者血液样本的高效液相色谱数据，称为 HPLC。与其他众所周知的分布相比，TLAPE 对 HPLC 数据的拟合优度标准证明了 TLAPE 的潜力。该结果对在Lifetime性能指标的测试过程中达到要求的结果有影响。此外，还研究了 TLAPE 的统计特性和可靠性特性。执行模拟研究以检查 ML 参数估计在偏差和均方误差方面的性能。使用 TLAPE 分布对生存和乳腺癌的两个真实数据集进行建模，并与其他众所周知的分布进行比较，以说明其性能。结果强调，与比较分布相比，TLAPE 分布对癌症数据具有更好的拟合性能。