基于F分布的指数型产品环境因子计算方法研究

为解决复杂系统变环境、变母体、小样本可靠性评估问题，研究了基于F分布的指数型产品环境因子计算方法，分析得到指数型产品环境因子对于变母体试验数据同样适用；针对小样本情况，分析了现有方法在选择不同的基准环境计算环境因子时存在的问题，并确定了基准环境的选择依据；基于上述分析，提出了针对小样本情况的指数型产品环境因子修正算法。最后，采用仿真算例验证了该方法的有效性。

Research on Environmental Factor of Exponential Product Based on F Distribution

A method of calculating the environmental factor of exponential product based on F distribution was studied for a reliability assessment of complex system according to the small-scale samples and experimental data from different test environments and samples. The analysis result shows that the environmental factor is also applicable to the test data of variable population. For small-scale sample, the shortcoming of existing method on the selection of benchmark environment was analyzed, and the rule of choosing benchmark environment was given. Based on the analysis result above, a new algorithm containing correction factors was proposed for small-scale sample. Finally, the validity of the proposed method was proved using simulation data.