容许分布

In this paper, the formula of Expect Bayes estimation of the reliability under entropy loss function and square loss function for geometric distribution have been given, when the prior distribution of the reliability is power distribution.

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下，可靠度的多层Bayes估计及其容许性，给出了可靠度的多层Bayes估计的计算公式。

Combining NA samples the EB estimation with convergence rates is also obtained; Thirdly, for one-parameter exponential distribution family, we give the parameters' EB estimator that is admissible and asymptotically optimal with convergence rates. Finally, Bayesian and hierarchical Bayesian approaches are applied to analyze the reliability performances for series system with cold standby units and the numerical simulation results show that multiple Bayes estimator is superior to Bayes estimator.

其次，针对一类双边截断分布族，在非对称linex损失下构造了经验Bayes决策函数，建立了它的收敛速度，给出了渐近最优的证明；并结合NA样本研究了参数的经验Bayes估计及其收敛速度；接着给出了指数族参数的经验Bayes估计，证明了它是渐近最优的，也是可容许的，同时也获得了该EB估计的收敛速度；最后，运用Bayes与多层Bayes方法研究了具有冷贮备部件串联系统的可靠性指标的估计，并给出了数值模拟结果，结果表明多层Bayes估计优于Bayes估计。

This paper is a generalization of the result in [2]. We prove that the least squares estimator of the regression coeffcient is admissible for a wide class of distributions when the variance σ2 is unknown.

这篇文章是成平结果的一般化，即在一个宽广的分布类中，证明了当方差未知时，回归系数最小二乘估计是容许的。

V It is proved that, under quadratic loss, the admissibility of a common estimator of mean vector with respect to multivariate t-error model is related to its dimention.

v证明了多元t-分布均值向量的一个常用估计在二次损失下的可容许性与维数有关。

The paper carries out mechanical analysis of the weight distributing of goods in loading container based on analysis of packing and tansporting environment, and draws the formula of the ratio of the weight of loading goods and the maximum loading weight W/W0, and the length distributing ratio of loading goods α=l/L under the condition that the bending quadrature produced by part load is within the range of the maximum bending quadrature. It also gives the graph that the sum deflection of mudsill and underside girder can reach high-point value with the length of bottom distributing varying, when the loading amounts of container of 20ft and 40ft are given. Furthermore, it provides the relation graph of an eccentric rate of loading goods and the allowed loading amount. For on-site safety loading work, it has certain guidance and reference value.

在分析包装件运输环境的基础上，对装载集装箱的货物重量分布进行了力学分析，得出局部负荷产生的弯矩如在最大容许弯矩范围以内时，装载货物重量与最大载货重量之比W/W0，同装载货物的长度分布率α=l/L的关系式；绘出了20 ft和40 ft集装箱在装货量一定时，随着货物底分布长度的变化，底梁和下侧梁之合计挠度达到极限值的曲线图；绘出了装载货物的偏心率与容许装货重量的关系图；对现场安全装载作业有一定的指导作用和参考价值。

And the corresponding sufficient condition can be got with respect to classΓ prior distribution in restricted space.

容许估计的充分条件，并将此方法推广到限制空间中该类先验分布族Γ的情形。

Lastly, there exist privacies in reality, which make it hard to exchange all information. Thus, MAS coordination is more applicable to group decision.

MAS协调可以容许信息分布、信息不精确、个体自治等几项特性，比任何其他方法更适用于群体决策。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。