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Then, followed the analysis of the asympototic properties of maximum likelihood estimation for the seasonal ARFIMA models, the consistency, efficiency and asymptotic normality of the Bayesian estimator are proved.

参照季节性ARFIMA模型的极大似然估计的渐近性质的证明思路,证明了模型参数的贝叶斯估计具有相合性、有效性和渐近正态性。

Basing on this, the formal asymptotic expansion of solution for the original problem is obtained. Finally, under suitable conditions, existence and its uniform validity of asymptotic expansion of solution for the initial boundary value problem are proved,by using theory of differential inequalities.

在这基础上得到了原问题解的形式渐近展开式;最后,在适当的条件假设下,利用微分不等式理论,证明了原初边值问题解的存在性及其渐近展开式的一致有效性。

By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved.

通过引进适当的伸长变量,构造边界层函数,得到了解的N阶近似值,并利用微分不等式理论证明了解的渐近展开式的一致有效性。

Using real data from a seismic exploration, we achieved the migration sections of converted wave beneath volcanic area, and it is proved that the method is effective for computing common asymptotic conversion point and pre-stack time migration.

实际资料的成像结果表明,本文采用的近似转换点计算以及转换波叠前时间偏移方法是有效的。

It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

证明了当临界阈值小于1时,无病平衡点是局部渐近稳定的,进一步利用巴尔巴欣公式构造Lyapunov函数,运用Lyapunov稳定性理论证明了该平衡点的全局渐近稳定性,说明松材线虫病会最终消失;当临界阈值大于1时,病虫害平衡点是局部渐近稳定的。

Global asymptotic stability of the closed-loop system has been proved.

从理论上证明了闭环系统的全局渐近稳定性。

Especially, the asymptotic stability of the control system is analyzed, deduced and proved in detail.

特别详细地分析、推导和证明了系统的渐进稳定性。

Finally, we proved that the absolute and asymptotic competitive ratio for FAC are 19/9 and 2, respectively.

最后,在FAC中,我们分别证明了解决这个问题在线算法的绝对竞争比和渐进竞争比的下界分别是19/9和2。

Kulldorf'book(1961)sysmatically studied the MLE of the location and scale pa-rameters belonging to the exponential family,Kulldorf proved that the MLE wasconsistent and has asymptotically normal distribution.

Kull-dorf(1961)在所著的书里系统地研究了如何利用分组数据求指数分布族的位置参数与尺度参数的最大似然估计,并且证明了MLE的相合性与渐近正态性。

Secondly, it is proved that the variable universe adaptive fuzzy control is asymptotically stable by use of Lyapunov theory.

在基于模糊系统泛逼近理论的自适应模糊控制研究中,主要做了如下工作: 1。

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I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。