Weibull分布下基于MLE的红外发光二极管寿命预测

Life Prediction for Infrared LED Based on MLE under Weibull Distribution

摘要:

为了对红外发光二极管(LED)恒定及步进应力加速寿命试验的数据进行统计分析,应用Weibull分布函数描述了其寿命分布,利用极大似然法(MLE)及其迭代流程图估计出形状参数和尺度参数,通过最小二乘法确定了红外LED加速寿命方程,对红外LED寿命是否符合威布尔分布进行了Kolmogorov-Smirnov检验,并利用自行开发的寿命预测软件计算出平均寿命和中位寿命。数值结果表明,红外LED的寿命服从Weibull分布,加速寿命方程符合逆幂定律,所估计出的红外LED的寿命对生产厂商和用户有很强的指导意义。

Abstract:

In order to make statistic analysis on constant-stress and step-stress accelerated life test data for the infrared LED,the Weibull function was applied to describe its life distribution,and the maximum likelihood estimation(MLE) and its iterative flow chart were used to calculate the shape parameters and scale parameters.Furthermore,the accelerated life equation was determined by the least square method,the Kolmogorov-Smirnov test was performed to verify whether the life of the infrared LED meets the Weibul...