基于随机维纳过程的产品加速因子分布确定方法

摘要

Aiming at the problem that the acceleration factor of the new product is difficult to determine , the distribution of product acceleration factor based on stochastic Wiener process is proposed .First, according to the similar product information , determine the similar products to accelerate factor prior distribution using the overall maximum likelihood function (MLE) and the Fisher information matrix;Secondly, according to the expert experi-ence information gives new research products acceleration factor prior distribution ;Again followed by weighted fu-sion theory , fusioning accelerated factor prior distribution of the similar products and acceleration factor prior distri -bution based on expert experience gives a accelerating factor final prior distribution of new research products ;then, according to new research products infield test information , given the Wiener process parameter estimation;Finally, by the Bayes theory , make full use of products low layer test information to update acceleration factor distribution to get acceleration factor posterior distribution .Taking a case study of the accelerometer , the suitable and validity of the proposed method has been proved .%针对新研产品加速因子难以确定的问题，提出基于随机维纳过程的产品加速因子分布确定方法。首先根据相似产品信息，利用整体极大似然函数（ MLE）和Fisher信息矩阵确定相似产品加速因子先验分布；其次根据专家经验信息给出新研产品加速因子先验分布；再其次通过加权融合思想，将相似产品加速因子先验分布和专家经验加速因子先验分布融合，给出新研产品加速因子最终的先验分布；然后根据新研产品内场试验信息，给出Wiener过程的参数估计；最后利用Bayes理论，充分利用产品低层试验信息对加速因子分布进行更新得到后验分布。以某型新研加速度计为实例，验证了所提出的方法适用性和有效性。