具有随机窗宽核估计的一致强相合性

设 X_1,…,X_m i.i.d.是取值于 R~n 中的随机向量,X_1 有概率密度 f(x),取正随机变量 H_m(x,ω)=H_m(x,X_2(ω),…,(ω))为随机窗宽,f(x)的核估计与最近邻估计分别如下:f_m(x)=(mH_m~n(x,ω))~(-1)sum from i=1 to m K((X_i-x)/H_m(x,w))f_m(x)=(ma_m~n(x,w))~(-1) sum from i=1 to m K((X_i-x)/a_m(x,w)),m≥1,x∈R~n.假定 K 为 R~n 中有界变差函数,当 f(x)与 K(x)的条件比[1]弱时,我们讨论了 f_m(x)与 f_m(x)的一致强相合性。本文所得随机窗宽的结果与[1]中常数窗宽的结果相同,这些结果也比[2]和[5]中的要好。     

利用Weibull分布对飞机某部件的金属材料的疲劳寿命的可靠性估计

本文在Weibull分布下对飞机的某关键部件的金属材料的疲劳寿命进行可靠性估计。并给出了部分可靠度和可靠寿命的估计结果．     

旋转导向钻井工具姿态测量陀螺仪故障估计与处理方法

针对旋转导向钻井工具姿态测量系统陀螺仪故障问题,提出一种陀螺仪加性故障估计与处理方法.首先将陀螺仪故障增广为状态变量,融合加速度计测量信息建立非线性测量模型;然后针对由于模型线性化、陀螺仪漂移、钻井过程的高温、高压、强振动等因素导致卡尔曼滤波算法估计精度变差的问题,将测量误差等效为幅值有界但分布未知的误差,提出了一种自...     

定时截尾指数模型验前多数的确定

研究在定时有替换截尾试验下，指数模型点估计的验前参数的确定方法，讨论了验前参数的有关性质并给出了确定验前参数取值适合域的方法．最后用例子说明Ｂａｙｅｓ估计“优于”经典估计．     

用数字干涉仪测量变形镜影响函数的实验研究

分析了变形反射镜面形影响函数的意义，鉴于自适应光学系统中波前探测大都以测量波前斜率为基础的特点，提出应研究斜率影响函数，并在此基础上构成波前复原矩阵。还介绍了用数字干涉仪测量变形镜影响函数的方法和结果，并对测量结果进行了分析，得到了影响函数的各种参数，例如：交连值，高斯指数，特征宽度等。并将干涉法测量斜率影响函数的结果与实际的哈特探测器的测试结果进行了比较。     

Investigation of self-adaptive algebraic tomography for gas reconstruction in larger temperature range by multiple wavelengths absorption spectroscopy

We develop a self-adaptive algebraic tomography algorithm （SAATA） to investigate the simultaneons reconstruction of concentration and temperature distributions in larger temperature range from two views. The simplified optical arrangement with fewer projections is realized by extension of spectral information at multiple wavelengths, resulting in great potential in applications of practical combustion diagnosis. Tile results show SAATA can perform much better reconstructions in 300 3000 K temperature range than genetic simulated annealing algorithm and least-square orthogonal-triangular decomposition method with two- wavelength scheme. More phantoms are created to demonstrate the capability of SAATA to capture the peaks and adapt for both flat and sharp temperature distributions. Meanwhile, the advantage of high stability ensures better reconstruction performance at noise levels from 0.1% to 10% in projections.     

Comparison of MINQUE and Simple Estimate of the Error Variance in the General Linear Models

Comparison is made between the MINQUE and simple estimate of the error variance in the normal linear model under the nean square errors criterion,where the model matrix need not have full rank and the dispersion matrix can be singular.Our results show that any one of both estimates cannot be always superior to the other.Some sufficient criteria for any one of them to be better than the other are established.Some interesting relations between these two estimates are also given.