Statistical Analysis for the Birnbaum-Saunders Fatigue Life Distribution under Type-Ⅱ Bilateral Censoring and Multiply Type-II Censoring

In present paper, we obtain the inverse moment estimations of parameters of the Birnbaum-Saunders fatigue life distribution based on Type-Ⅱ bilateral censored samples and multiply Type-Ⅱ censored sample. In this paper, we also get the interval estimations of the scale parameters.

Statistical Analysis for the Birnbaum-Saunders Fatigue Life Distribution under Multiply Type-ⅡCensoring

In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore, we get the variance and covariance of the approximate maximum likelihood estimation.

Statistical Analysis of Two-Parameter Generalized BS-Logistic Fatigue Life Distribution

The logarithmic moment estimations of parameters are proposed for two-parameter generalized Birnbaum-Saunders Logistic fatigue life distribution GBS-Logistic(α,β)under the full sample.The precisions of point estimations are investigated and compared with other point estimations by Monte-Carlo simulations.The approximate interval estimations of parameters are given by using Taylor expansion,and the precisions of approximate interval estimations are investigated by Monte-Carlo simulations.Finally,several examples show the feasibility of the methods.

双边定时截尾下BS分布的统计分析

针对两参数Birnbaum-Saunders疲劳寿命分布产品在双边定时截尾寿命试验数据场合下,利用"半个产品失效"的想法,并利用Balakrishan提出的一阶泰勒展开,将似然方程作适当的近似,得到了两个参数的近似极大似然估计,最后通过一实际案例说明方法的可行性。

时变摩擦因数对齿面接触疲劳寿命的影响研究

齿面摩擦力对齿面接触应力和接触疲劳寿命有着重要的影响。在对齿面接触疲劳寿命预估时,常忽略齿面摩擦力的影响,不利于齿面接触疲劳寿命的准确预估。为了准确预估齿面接触疲劳寿命,根据18CrNiMo7-6齿轮材料的齿面接触疲劳试验数据,基于三参数威布尔分布和名义应力法对R-S-N曲线进行拟合,在齿面接触应力的计算中引入时变摩擦因数,分析了时变摩擦因数对齿面接触疲劳寿命的影响,并通过齿面接触疲劳试验进行了验证。结果表明,由于时变摩擦因数的影响,采用传统的名义应力法所估计的齿面接触疲劳极限偏大,且随着应力的增大,摩擦因数对齿面接触疲劳寿命的影响呈减弱趋势。