复杂控制系统随机参量的广义自相关性研究

研究泛逻辑推理中广义自相关系数k值的求解方法,提出了基于泛逻辑的复杂控制系统不确定性推理模型,给出了求解k值的一般步骤和相关定理.研究了3种连续型随机参量的广义自相关性:均匀分布的k值恒等于0.5,是一种理想的精确估计模型;没有基变换时的指数分布和标准正态分布的k值均小于0.5,它们对随机参量的逻辑值呈偏小估计.推导出了求解N范数和k值的通用公式,建立起泛逻辑理论和不确定性推理与控制之间的实用性桥梁.

随机参量统计分布的确定方法

确定随机参量统计分布是可靠性设计,特别是Monte Carlo模拟所必须首先解决的问题。鉴于目前常用的直方图法和X_-~2检验法使用上存在的不足,本文提出采用极大似然估计法和三种拟合性检验法及直方图法等相结合来确定参量的统计分布,并编制了通用的计算机程序。实际使用表明,该法不仅方便,且分析结果准确可靠。

随机力学参量对混凝土细观损伤演化的影响

基于随机骨料细观数值模型和弹脆性损伤破坏本构模型,研究了弹性模量、拉压强度等随机参量及其组合形式对试件宏观拉压强度的影响。结果表明:以弹性模量和强度的乘积作为一个综合随机参量,并以相关系数来反映它们之间的关系,较之传统独立考虑弹性模量和强度的随机分布,可获得更为合理的试件拉压损伤破坏全曲线,并与试验曲线有较好的吻合性。

用多参量随机剔除法确定作物品种的适应区域

如何界定和划分作物品种的适应区域，是育种后续程序和种子推广工作中亟待解决的问题。为此，作者提出在非均同（不同土壤肥力和管理水平）原则下，利用多参量随机剔除的原理，对作物品种的适应区域进行统计分类。１理论依据选择某品种在甲、乙、丙……Ｎ个试点进行试验，...

孤子传输系统中随机因素的影响及抑制

该文研究了光纤损耗、色散、非线性系数等参量无规变化，放大器自发辐射噪声（ＡＳＥ）和孤子间相互作用同时存在时孤子系统的传输特性．发现光纤参量随机变化仅引起孤子幅值和能量变化，孤子中心抖动可以忽略，而相互作用对孤子中心抖动有显著影响．相互作用和ＡＳＥ噪声并存时对孤子中心抖动的影响更为严重．文中证明，这些抖动因素均可用滤波器加以抑制．

混合高斯噪声中随机信号的最佳检测

根据加性窄带混合高斯噪声中随机参量信号最佳阈值检测模型构建了非高斯最佳检测器,并通过仿真试验验证了模型的有效性。

噪声干扰条件下长输管道检漏的一致最大功效检验

针对海底管道泄漏监测问题 ,基于信号检测原理分析了受噪声干扰的流量差观测序列。引入了新息理论和自适应滤波算法 ,使管道运行的数据采集和远程传输过程中产生的非白噪声转化为白噪声。建立了以泄漏信号的幅值为随机参量的二元复合假设检验模型 ,提出了具有一致最大功效的序列似然比检验方法 ,并进行了平稳观测序列强泄漏信号和非平稳观测序列弱泄漏信号的检测。对以上两种情况无须预先假设可能发生的有关泄漏量统计知识 ,利用该方法即能做出准确判断 ,检测概率均达到 95 %以上。与现有的序列似然比检漏方法比较 ,一致最大功效检验探测泄漏信号的准确性较高 ,发现泄漏信号的时间短 。

基于矿区实测数据的流体力学交通流模型研究

本文针对流体力学交通流模型中的一阶连续介质理论模型给出一种改进方法———将单车道随机元胞自动机交通流模型中的随机参量引入其中,生成一组反映加速度的分段函数并且重新构建了一阶连续介质理论模型的交通流基本图。在矿区实测交通流数据的基础上,应用单车道随机元胞自动机交通流模型和改进的一阶连续介质理论模型分别进行了数值模拟和分析。

Parameter Estimations of Rayleigh Distribution

设随机变量X服从Rayleigh分布，其密度函数为p(x;β)=2x/βe-x^2/β，x＞0,β＞0为参数，对变换群G={gc;gc(x)=c^2x,c＞0}，本文分别在平方损失和熵损失下研究了β在G上的最优同变估计；当β有先验信息时，给出了β的Bayes估计。

基于RPPT似然比的宽带雷达目标检测算法

宽带雷达目标回波表现为距离扩展目标的形式,距离扩展目标检测技术是目前雷达信号处理领域的难点问题。本文从最佳匹配检测理论和高分辨率雷达目标回波特征出发,将目标上各散射点形成的在时域上分离的回波看成是具有随机参量的脉冲串信号,提出了适用于高分辨率雷达目标单次回波检测的随机参量脉冲串检测方法。仿真结果表明,在高分辨率雷达中,这种检测方法比雷达经典检测方法检测性能改善3dB以上。

基于UR-MTPGERT网络模型的复杂装备风险传导分析

针对复杂装备风险传导关系描述不清晰的问题,构建了风险传导不确定随机多传递参量图形评审技术(UR-MTPGERT)网络模型。首先,基于机会理论,定义了不确定随机变量的矩母函数,并在此基础上构建了UR-MTPGERT网络模型。其次,为刻画复杂装备的微观风险信息,在模型中引入系统风险度、风险元重要度、风险路径关联度等解析参数。然后,求解矩母函数时,采用德尔菲法处理专家经验数据,得到经验不确定分布,并利用极大熵模型处理随机数据,得到概率密度函数;引入矩阵分析技术,解决了网络拓扑分析困难的问题,在此基础上计算网络参数。最后,对某型飞机进行安全性分析,结果表明,该模型能清晰反映风险元间的关系,可以为复杂装备的风险分析、预判和安全控制提供借鉴。

Reliability analysis of structure with random parameters based on multivariate power polynomial expansion

A new method for calculating the failure probabilityof structures with random parameters is proposed based onmultivariate power polynomial expansion, in which te uncertain quantities include material properties, structuralgeometric characteristics and static loads. The structuralresponse is first expressed as a multivariable power polynomialexpansion, of which the coefficients ae then determined by utilizing the higher-order perturbation technique and Galerkinprojection scheme. Then, the final performance function ofthe structure is determined. Due to the explicitness of theperformance function, a multifold integral of the structuralfailure probability can be calculated directly by the Monte Carlo simulation, which only requires a smal amount ofcomputation time. Two numerical examples ae presented toillustate te accuracy ad efficiency of te proposed metiod. It is shown that compaed with the widely used first-orderreliability method （ FORM） and second-order reliabilitymethod （ SORM）, te results of the proposed method are closer to that of the direct Monte Carlo metiod,and it requires much less computational time.

Influence of explosion parameters on wavelet packet frequency band energy distribution of blast vibration

Blast vibration analysis is one of the important foundations for studying the control technology of blast vibration damage. According to blast vibration live data that have been collected and the characteristics of short-time non-stationary random signals, the wavelet packet energy spectrum analysis for blast vibration signal has made by wavelet packet analysis technology and the signals were measured under different explosion parameters （the maximal section dose, the distance of blast source to measuring point and the section number of millisecond detonator）. The results show that more than 95% frequency band energy of the signals sl-s8 concentrates at 0-200 Hz and the main vibration frequency bands of the signals sl-s8 are 70.313-125, 46.875-93.75, 15.625-93.75, 0-62.5, 42.969-125, 15.625-82.031, 7.813-62.5 and 0-62.5 Hz. Energy distributions for different frequency bands of blast vibration signal are obtained and the characteristics of energy distributions for blast vibration signal measured under different explosion parameters are analyzed. From blast vibration signal energy, the decreasing law of blast seismic waves measured under different explosion parameters was studied and the wavelet packet analysis is an effective means for studying seismic effect induced by blast.

Theoretical study on separation density of gravity beneficiation

Separation density is one of the most concerned operating parameters in gravity beneficiation.Although equal-errors cut point or distribution density is usually used as practical separation density in gravity beneficiation, the gravity separating process complexly affected by many kinds of factors is actually carried out at a fluctuant density; namely, the practical separation density is essentially a random variable.The studied results show that the equal-errors cut point is the mathematical expectation of this random variable, and the distribution density corresponds to the highest separation efficiency in the gravity separation process.This shows that the distribution density is the best working point of the gravity separation equipment under a particular operating condition.Therefore,in order to fully develop the function of the gravity separation equipment, the distribution density should be close to the theoretical separation density unlimitedly in the range of minimum fluctuation.

Parameters estimate of recurrent quantum stochastic filter for time variant frequency periodic signals

Designing optimal time and spatial difference step size is the key technology for quantum-random filtering(QSF)to realize time-varying frequency periodic signal filtering.In this paper,it was proposed to use the short-time Fourier transform(STFT)to dynamically estimate the signal to noise ratio(SNR)and relative frequency of the input time-varying frequency periodic signal.Then the model of time and space difference step size and signal to noise ratio(SNR)and relative frequency of quantum random filter is established by least square method.Finally,the parameters of the quantum filter can be determined step by step by analyzing the characteristics of the actual signal.The simulation results of single-frequency signal and frequency time-varying signal show that the proposed method can quickly and accurately design the optimal filter parameters based on the characteristics of the input signal,and achieve significant filtering effects.

Dynamics of Entanglement of Qutrit-Qutrit States with Stochastic Dephasing

The effect of stochastic dephasing on the dynamics of entanglement of qutrit-qutrit states is investigated by using negativity and bound entanglement defined with realignment criterion, From the analysis, we, find that the time evolution of quantum free entanglement and bound entanglement depends on the fluctuations of the stochastic variables and the parameters of the particular initial states of concern. Our results imply that some qutrits states display both distillability sudden death and entanglement sudden death, while some states do not display distillability sudden death but only entanglement sudden death.

CLT OF WAVELET ESTIMATOR IN SEMIPARAMETRIC MODEL WITH CORRELATED ERRORS

This paper considers the semiparametric regression model Yi = xiβ＋g（ti）＋ Vi （1 ≤ i≤ n）, where （xi, ti） are known design points, fl is an unknown slope parameter, g（.） is an unknown function, the correlated errors Vi = ∑^∞j=-∞cjei-j with ∑^∞j=-∞｜cj｜ 〈 ∞, and ei are negatively associated random variables. Under appropriate conditions, the authors study the asymptotic normality for wavelet estimators ofβ and g（·）. A simulation study is undertaken to investigate finite sample behavior of the estimators.

Study on improving blood flow with korean red ginseng substances using digital infrared thermal imaging and doppler sonography:randomized,double blind,placebo-controlled clinical trial with parallel design

OBJECTIVE： To examine ginseng for improving people. the efficacy of Korean red blood flow in healthy METHODS： Participants were randomized and treated with 1500 mg of Korean red ginseng extract or placebo for 8 weeks. The effect of Korean red ginseng was evaluated by digital infrared thermal images, and Doppler sonography, and blood test. RESULTS： Imbalance Forty subjects completed the protoco n local thermal distribution was significantly decreased in the Korean red ginseng group confirmed by digital infrared thermal images. Doppler sonography showed no significant change in maximum and average rates of blood circulation in single or complex areas. Blood analyses for coagulation and lipid metabolism factors revealed no significant changes. No abnormal reactions to the Korean red ginseng were observed. CONCLUSION： Digital infrared thermal imaging showed that the temperature deviation in the whole body decreased safely in the Korean red ginseng group, which mitigated the body- temperature imbalance. This result suggests that the Korean red ginseng improves blood circulation in the human body.

Convergence Rates of Wavelet Estimators in Semiparametric Regression Models Under NA Samples

Consider the following heteroscedastic semiparametric regression model：where {Xi, 1 〈 i 〈 n} are random design points, errors {ei, 1 〈 i 〈 n} are negatively associated （NA） random variables, （r2 = h（ui）, and {ui} and {ti} are two nonrandom sequences on [0, 1]. Some wavelet estimators of the parametric component β, the non- parametric component g（t） and the variance function h（u） are given. Under some general conditions, the strong convergence rate of these wavelet estimators is O（n- 1 log n）. Hence our results are extensions of those re, sults on independent random error settings.

Extremes of Shepp statistics for fractional Brownian motion

Define the incremental fractional Brownian field with parameter H ∈ （0, 1） by ZH（τ, s） = BH（s-＋τ） - BH（S）, where BH（s） is a fractional Brownian motion with Hurst parameter H ∈ （0, 1）. We firstly derive the exact tail asymptoties for the maximum MH＊（T） = max（τ,s）∈[a,b]×[0,T] ZH（τ, s）/τH of the standardised fractional Brownian motion field, with any fixed 0 〈 a 〈 b 〈 ∞ and T 〉 0; and we, furthermore, extend the obtained result to the ease that T is a positive random variable independent of {BH（s）, s ≥ 0}. As a by-product, we obtain the Gumbel limit law for MH＊r（T） as T →∞.