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1)  effectively asymptotic solutions
有效渐近解
2)  asymptotically efficient
渐近有效
3)  solutions of effectively asymptotic expansions
有效渐近展开式解
1.
Some solutions of effectively asymptotic expansions are studied in this paper which would use powerful symbolic operation and control sentence provided by Mathematica system to a weakly nonlinear system ü+w 2 ou=εf(u,·u),and some of automatically solving problems of Lindstedt Poincare s method are considered,such as method of classially singular pertubations.
应用Mathematica系统的强大的符号运算功能以及该系统提供的控制语句 ,对一类弱非线性系统櫣 +w20 u =εf(u ,·u)的有效渐近展开式解进行了研究 ,用Mathematica系统实现了一种古典的奇异摄动方法—LindstedtPoincare方法的自动求解问题 ,并调试通过程序做成了程序
4)  asymptotic efficiency
渐近有效性
1.
We also discussed some of its asymptotic properties, such as asymptotic consistency, asymptotic efficiency and cost of ignorance, under some certain assumptions.
并讨论了在一定条件下,当d→0,它的渐近相合性、渐近有效性及有界的最优费用差(EN(d)-n(d))等渐近性质。
2.
Some of its asymptotic properties, such as asymptotic consistency, asymptotic efficiency and cost of ignorance under certain conditions, are also discussed.
并讨论了在一定条件下,当d→0时,估计的渐近相合性、渐近有效性及有界的最优费用差(EN(d)?n(d))等渐近性质。
5)  asymptotic minimax efficiency
渐近minimax有效
1.
In this paper the MLE of θ,say θ^\-n,from randomly censored data is pr oved to be asymptotic minimax efficiency.
本文证明基于随机删失观察的参数θ的MLEθ^n 是渐近minimax有效的 ,即对某损失函数W (·) ,limδ→ 0 limn→∞ sup|θ′-θ|<δE(n)θ′ {w[- 1(n) (θ^n-θ) ]} =Ew(ξ) ,其中 ,L(ξ) =N(0 ,1) ,p(n) =(nI|θ|) - 12 ,I(θ)是删失观察的信息函数。
6)  asymptotic risk efficient
渐近风险有效
补充资料:渐近稳定解


渐近稳定解
asymptotically - stable solution

渐近稳定解[asymp咖回ly一stable sduti佣;~"ror卜,ee姗ycro曲,栅e peoe“。el 一个微分方程组的解,它在月刃乃旧oB意义下是稳定的(见加.lyl舰旧稳定性(Lyapunov stability)),并且吸引具有足够接近的初始值的一切其他解.例如,考虑方程组 卒二f(r.,、‘。 a了J、右边的函数f(:,考)对于一切:):,考任R”有定义,并使得方程组(*)的解存在而且是唯一的.这时,方程组(*)的解 x(;,乱),x(:,乱)=老。是渐近稳定解,如果这个解同一切与其足够接近的解 x(:,句,}若一蜀}0,一起对于一切:):有定义,并且对于任意的。>0,存在占,0<占
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