1) asymptotically efficient estimate
渐近有效估计
1.
In this paper,we discuss the sufficient and complete statistic of negative binomial distribution,and obtain the uniformly minimum variance unbiased estimator with unknown parameter θ through discusslon of cramer Rao inequality and the below bound of the unbiased estimate,it is proved that unique UMVU estinote of the parameter θ is asymptotically efficient estimate.
通过讨论负二项分布族的充分完备统计量 ,可给出未知参数θ的一致最小方差无偏估计 ,并通过Cramer Rao不等式及其无偏估计下界的讨论 ,证明了θ的惟一的UMVU估计是渐近有效估
2.
In this paper,we construct the asymptotically efficient estimates for location parameter θ in the family {1τf(x-θτ)|θ∈R,τ>0
本文对单边截断型分布族｛１τ∫（ｘ－θ）τ）ｄｘ｜θ∈Ｒ，τ＞０｝，构造了位置参数θ的一类渐近有效估计和自适应估
2) Bahadur efficiency
Bahadur渐近有效估计
1.
Based on some smooth conditions, the Bahadur bound for this distribution family is derived, and a definition of Bahadur efficiency is proposed.
基于一定的光滑性假设，得到了这种双边截断分布族的Bahadur界，并因此给出了该分布族中相合估计为Bahadur渐近有效估计的定义。
4) asymptotic formulae
渐近估计
1.
On the asymptotic formulae of approximation of unbounded continuous functions;
关于无界连续函数逼近的渐近估计
2.
By using multiplier-enlargement,the asymptotic estimation of approximation of unbounded continous functions with positive linear operaters is discussed, with general asymptotic formulae given.
利用扩展乘数法讨论了线性正算子改造为逼近无界连续函数的渐近估计,给出了具有一般性的渐近 公式。
3.
By using of the method of multiplier-enlargement, discusses the asymptotic estimation of approximation for unbounded continuous functions of several variables by linear positive operators defined on k-dimensional Euclidean space, and gives general asymptotic formulae.
利用扩展乘数法讨论了高维欧氏空间上线性正算子改造为逼近多元无界连续函数 的渐近估计，给出了具有一般性的渐近公式。
5) asymptotic estimate
渐近估计
1.
Singularly perturbed boundary value problems for a class of third order nonlinear differential equations :εx\+=f(t,x,x\+′,x\+″,ε),x(0)=A ,x\+′(0)=x\+′(1),x\+″(0)=x\+″(1),is studied by upper and lower solutions, the existence and asymptotic estimates of solution are obtained.
研究了三阶非线性方程奇摄动两点边值问题:εx =f(t,x,x′,x″,ε),x(0)=A,x′(0)=x′(1),x″(0)=x″(1),得到了解的存在性和渐近估计。
2.
The periodic boundary value problem on integral differential equation of Volterra mode bearing minor parameter in a second order derivative term is studied,namely,εu″=f(t,u,Tu,(ε)u′,ε),u(0)=u(1),u′(0)=u′(1),\%thus, both the existence and the asymptotic estimate of solution to the problem are found out.
研究了二阶导数项带小参数的一类Volterra型积分微分方程周期边值问题:εu″=f(t,u,Tu,ω(ε)u′,ε),u(0)=u(1),u′(0)=u′(1),得到了解的存在性和渐近估计。
3.
An asymptotic estimate for integral remainder of Simpson formula and a consequence of inverse problem of Simpson formula are given in this article.
对Simpson公式的积分余项作出渐近估计,并给出了Simpson公式反问题的一个结果。
6) asymptotic estimates
渐近估计
1.
By using WZ method, the asymptotic estimates for some special cases of a kind of combinatorial sum were obtained, then some general results were conjectured from them and proved by using analytic method.
利用WZ方法对一类组合和的一些特殊情形给出了其渐近估计,然后猜测出一般结果,最后利用分析的方法给予了严格证明,并且通过引进参数,将结论作了极大的拓广,由此产生了一系列目前无法解释的数学现象和无法解决的数学问题。
2.
The existence result and the asymptotic estimates of the solution in the maximum norm are examined by means of some fixed point theorems.
在适当的条件下证明了解的存在性，并给出解的渐近估计。
3.
The existence and asymptotic estimates of solution for nonlinear boundary value problem of Volterra type integro-differential-difference equation by means of differential inequality theories is studied.
在适当条件下,构造具体的上下解,得到了解的存在性和渐近估计。
补充资料：超有效估计量
超有效估计量
upereffitient estimator $, hyperefficient estimator
超有效估计量f匀那曰re伍d印t巴血舀奴或h只尤肥伍cjentestilnator:cBepx，帅e俐Bu明o”eUKal 术语“超有效估计量序列”的通用简称，指比未知参数的相合最大似然估计量序列好(更有效)的、相合渐近正态估计量序列. 设X，，二x，是取值于样本空间(王，才，尸，)(口〔0)的随机变量.假设对于分布族{尸。}，存在参数口的相合最大似然估计量J。一J。(x、，…，xn)的序列冲。}.其次，设{兀圣是参数口的渐近正态估计量瓦二兀(Xl，…，X，.)的序列.假如对于一切0〔0、有 、〔，，。。(工，一。)，z、不共， 厂一1一fIL，-一‘·”I(的’其中I(的是F泪阮r信息量(Fisher~unt ofi刊陌~-tion)，并且至少在一个点口‘(0“O)，满足严格不等式 *。。.【n(兀一。·)2]<一早万，(.) I(口)则称序列{下，圣关于平方损失函数为超有效的(supe卜efficient)，而使(*)式成立的点扩称为超有效点(pointof su详reffieiell卿)·
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参考词条