一类时变调节大系统的稳定性

本文利用参数变易法来研究时变调节大系统的全局指数渐近稳定性,得到了时变调节大系统的全局指数渐近稳定性的充分条件,从而改进了文献[3]的结果。利用本文所得到的充分条件来研究文献[1～3,5]所讨论的同一例子,得到了比文献[1～3,5]更宽的指数渐近稳定性的参数区域。     

Robustness of automated data choices of smoothing parameter in image regularization

Statistical image restoration techniques are oriented mainly toward modelling the image degradation process in order to recover the original image. This usually involves formulating a criterion function that will yield some optimal estimate of the desired image. Often these techniques assume that the point spread function is known when the image is restored and indeed when we estimate the smoothing parameter. However in practice this assumption may not hold. This paper investigates empirically the effect of mis-specifying the point spread function on some data-based estimates of the regularization parameter and hence on the image reconstructions. Comparisons of image reconstruction quality are based on the mean absolute difference in pixel intensities between the true and reconstructed images.     

ASYMPTOTIC OPTIMALITY OF LIKELIHOOD RATIO TESTS FOR EXPONENTIAL DISTRIBUTIONS UNDER TYPE II CENSORING

Consider the model of k two parameter exponential populations under a type II censoring scheme. In this paper we establish optimality in the sense of Bahadur of the likelihood ratio test for an arbitrary testing problem by requiring only Condition A in Hsieh (1979). This result unifies and generalizes the results in Samanta (1986).     

旋风铣削加工外球面的研究

本文通过对旋风铣削加工球面的加工方法进行抽象,建立了数学模型,并提出了有关参数的计算公式和确定方法。     

Asymptotic distributions of functions of a sample covariance matrix under the elliptical distribution

This paper is concerned with asymptotic distributions of functions of a sample covariance matrix under the elliptical model. Simple but useful formulae for calculating asymptotic variances and covariances of the functions are derived. Also, an asymptotic expansion formula for the expectation of a function of a sample covariance matrix is derived; it is given up to the second-order term with respect to the inverse of the sample size. Two examples are given: one of calculating the asymptotic variances and covariances of the stepdown multiple correlation coefficients, and the other of obtaining the asymptotic expansion formula for the moments of sample generalized variance.     

应用正交试验法优选电火花成型加工电参数的研究

用正交试验法研究了电火花成型加工中电参数与工件加工速度、表面粗糙度和工具电极损耗比等工艺指标的关系，提出了优选的电参数方案．     

基于数据矩阵的信号频率和二维方向估计

在低信噪比和短数据环境下，基于阵列接收数据空间自协方差和互协方差矩阵分解的信号频率和二维到达方向（方位角和仰角）联合估计的性能往往较差。通过数据矩阵的奇异值分解和其Ｆｒｏｂｅｎｉｕｓ范数的低秩近似，提出了一种性能改进的新的信号频率和二维到达方向联合估计方法。计算机模拟实验证实了其有效性。     

K_3[C_r(C_2O_4)_3]·3H_2O的电子光谱的研究——10D_q、B和β参数的测定

报导了应用紫外分光光度计测定三草酸根合铬(Ⅲ)酸钾配合物的电子吸收光谱,并计算出其重要参数10D_q、B和β,所得结论与理论推出规律相吻合。     

Some aspects of the theory of estimating equations

An estimating equation for a parameter θ, based on an observation ?, is an equation g(x,θ)=0 which can be solved for θ in terms of x. An estimating equation is unbiased if the funaction g has 0 mean for every θ. For the case when the form of the frequency function p(x,θ) is completely specified up to the unknown real parameter θ, the optimality of the m.1 equation $\text{?}\text{log}\text{p}\text{?θ}\text{=0}$ in the class of all unbiased estimating equations was established by Godambe (1960). In this paper we allow the form of the frequency function p to vary assuming that $\text{x=(x}{}_1\text{,…,x}{}_{\mathrm{n}}\text{)?}\text{R}{}^{\mathrm{n}}$ and that under p, E(x_i)=θ. x₁,…, x_n are independent observations on a variate x, it is shown that among all the unbiased estimating equations for θ, $\text{x}\text{?}\text{?θ=0}$ is uniquely optimum up to a constant multiple.     

DATA-BASED CHOICE OF THE SMOOTHING PARAMETER FOR A KERNEL DENSITY ESTIMATOR

The problem of optimally choosing the smoothing parameter of a Fourier integral density estimator (FIE) is addressed. A new data-based method of so doing is shown to be related to, but an improvement over, the method of Davis (1981). It is shown that Davis' method does not lead to consistent estimation of certain, principally multimodal, densities. In a simulation study involving the bimodal mixture of two normal densities, the new method is seen to represent a substantial improvement.