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Topics include permutation tests, permutation limit theorems, 2-sample rank tests and their asymptotic efficiency, k-sample rank tests, 1-sample tests of location, paired comparisons, rank tests for symmetry and independence, and analogues of linear modeling based on ranks.

包括排列检验,排列极限理论,两样本秩检验及其渐进有效性,k个样本的秩检验,单样本的位置检验,配对比较检验,对称分布和独立分布的秩检验,基于秩的线性模型的模拟。

Topics include permutation tests, permutation limit theorems, 2-sample rank tests and their asymptotic efficiency, k-sample rank tests, 1-sample tests of location, paired comparisons, rank tests for symmetry and independence, and analogues

包括排列检验,排列极限理论,两样本秩检验及其渐进有效性,k个样本的秩检验,单样本的位置检验,配对比较检验,对称分布和独立分布的秩检验,基于秩的线性模型的模拟。

Limit theorems, asymptotic methods, asymptotic efficiency and efficiency bounds for estimation, maximum likelihood estimation, Bayes methods, asymptotics via derivatives of functionals, sample-based estimates of variability:; robustness; estimation for dependent data, nonparametric estimation and testing.

高级统计推断理论:极限理论,渐进方法,渐进有效和估计的效率,加大似然估计,贝叶斯方法,泛函数的微商渐进性,基于样本的估计:(bootstrap 和 jackknife方法);稳健性;独立数据的估计,非参数估计和经验。

Limit theorems, asymptotic methods, asymptotic efficiency and efficiency bounds for estimation, maximum likelihood estimation, Bayes methods, asymptotics via derivatives of functionals, sample-based estimates of variability:; robustness; estimation for dependent data, nonparametric

高级统计推断理论:极限理论,渐进方法,渐进有效和估计的效率,加大似然估计,贝叶斯方法,泛函数的微商渐进性,基于样本的估计:(bootstrap 和 jackknife方法);稳健性;独立数据的估计,非参数估计和经验。

STAT 581 Advanced Theory of Statistical Inference (3) Limit theorems, asymptotic methods, asymptotic efficiency and efficiency bounds for estimation, maximum likelihood estimation, Bayes methods, asymptotics via derivatives of functionals, sample-based estimates of variability:; robustness; estimation for dependent data, nonparametric estimation and testing.

高级统计推断理论:极限理论,渐进方法,渐进有效和估计的效率,加大似然估高级统计推断理论:计,贝叶斯方法,泛函数的微商渐进性,基于样本的估计:(bootstrap 和 jackknife 方法);稳健性;独立数据的估计,非参数估计和经验。

In chapter three, the new concepts of the bifurcation point and asymptotic bifurcation point of compact continuous operators in Menger PN-spaces are introduced. Some sufficient conditions for the existence of the bifurcation point and asymptotic bifurcation point are obtained. And the problems on the intrinsic value and intrinsic element of compact continuous operators are studied in Menger PN-spaces. A series of theorems on the existence of the intrinsic value and intrinsic element are obtained.

第三章,在概率赋范线性空间中提出非线性算子的歧点和渐近歧点的新概念,获得了非线性算子存在歧点和渐近歧点的充分条件;讨论了Menger概率赋范线性空间中非线性算子的固有值和固有元问题,得到了非线性算子存在固有值和固有元的一系列充分条件。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究,揭示了差分、差商与导数之间的联系;将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中,简明地推导出Lagrange差分中值定理等4个定理,并在此基础上对"中间点"的渐近性进行了研究,得出了一系列"中间点"的渐近性的结果,概括了有关文献对微分中值公式的"中间点"的渐近性的讨论;给出的引理改进了函数逼近论的证明方法,精简了函数逼近论中的一些内容。

In this paper,by using the comparison theorems and constructing suitable Lyapunov function, the sufficient conditions are obtained for the permanence and existence of globally asymptotically stable positive periodic solution of the system.

研究了具有反馈控制的n种群非自治周期竞争系统的持续性,利用微分不等式并构造适当的Lyapunov函数得到系统存在惟一、全局吸引的正周期解的充分条

In the third chapter, we use the method of localization at infinity of space to study index theorems with coarse geometry.

第三章利用在空间无穷远处的局部化方法研究了关于粗几何的指标问题。

By studying the generalized automorphism groups,we obtain some results which generalize some related classical theorems,including a theorem of P.

通过研究群的广义自同构群,该文得到了若干结果,推广了一些相关的经典定理,包括P。

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He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州,并在2005年伊瓦尔街,公寓生活。

Droperidol ( potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

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The Nazi's cruel treatment of the Jews during the Second World War is beneath contempt .

二战期间纳粹对犹太人的暴行极其可鄙。