收敛指数

Calculate Lyapunov spectrum of series of R-R intervals and R-wave peaks with different physiological and pathological states. On the basis of Lyapunov spectrum, first propose the concept of Rate of Convergency-Divergency which can judge dynamics characters of the heart by both convergency and divergency.

计算了不同生理病理状态下动态心电图中RR间期和R波峰序列的Lyapunov指数谱，并以此为基础首次提出了收敛发散比的概念，它可以从收敛和发散两个方面衡量心脏系统的动力学特征。

In the case of NA samples, the parameter for scale exponential family is discussed using empi- rical Bayes methods. Moreover, we investigate the statistical analysis of life data in reliability tests. Firstly, based on the LINEX loss function, we obtain the empirical Bayesian estimator for parameter of the one-side truncated-type distribution families and the scale exponential family under NA samples, also discuss the estimators?

在非对称的LINEX损失函数下，我们首先给出了一类单边截断型分布族、刻度指数族参数的经验Bayes估计NA样本情形），并讨论了该估计的收敛性质，在某些条件下，证明了本文给出的经验Bayes估计是渐近最优的，且给出了收敛速度。

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。

Absolutely convergence part and uniform convergence real part for the exponential series has been given.

给出了指数级数收敛实部、绝对收敛实部及一致收敛实部公式的严格证明。

A strict proof of the formulas of the convergence real part,absolutely convergence part and uniform convergence real part for the exponential series has been given.

给出了指数级数收敛实部、绝对收敛实部及一致收敛实部公式的严格证明。

Exponential distribution ; estimation of parameters ; strong convergence rate ; mean square convergence rate ; indicators of reliability ; Monte-Carlo simulation

指数分布；参数估计；强收敛速度；均方收敛速度；可靠性指标；蒙特卡罗模拟

Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.

针对带有边界约束的凸二次规划问题，利用离散神经网络模型的建模原理，构造了一个神经网络模型。利用矩阵与对称矩阵的关系和正定矩阵特征值的性质，通过引入一个适当的因子，得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。同时分析了该结果的优越性和存在的不足，提出了解决的3种方法，最后给出了实例说明本方法取得结果的实用性

Based on an appropriate monitoring function, a switching scheme is proposed so that after a finite number of switching, the tracking error can converge exponentially to zero if the plant relative degree is one, or a residual set whose radius is proportional to some design parameters if the plant relative degree is greater than one.

在监控函数的监测下，相关的控制信号经至多有限次切换后将停止切换，系统跟踪误差指数收敛于零(若被控系统相对阶为1)，或收敛于一个正比于设计参数的残集中(若被控系统相对阶大于1)。

The Markov chain proved the algorithm that is strong convergence and also the convergence speed is exponent.

利用Markov链证明该算法是可收敛并且是以指数速度概率强收敛的。

When the coefficient matrice is index p cycle matrice (p = 3,4,5),we educe the relation between preconditionging Jacobi 、 GS iterative matrices" and classical Jacobi iterative matrices" eigenvalue; As an application, make some preconditioning iterative factors, when classical Jacobi iterative converge, the preconditioning iterative methods may converge faster.

2系数矩阵是指数p=3，4，5循环矩阵时，分别给出了预条件Jacobi、Gauss-Seidel迭代矩阵与传统块Jacobi迭代矩阵二者特征值之间的关系，作为一个应用，通过预条件因子的特殊取值，使传统Jacobi迭代收敛时，预条件块迭代法的收敛速度成倍提高。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。