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统计推断

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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。

In this paper, the regression estimation for multivariate simple random sampling and stratified sampling is discussed, it is proved that this method is more available than the estimation without auxiliary variable, and some statistical inferences of population mean are given.

文章系统地讨论了多元简单随机抽样及分层抽样的回归估计法,说明与无辅助信息抽样相比,回归估计法是一种更有效的方法,并得出了总体均值的一些统计推断

Bootstrap become more and more important in the modern statistical inference.

该方法在现代的统计推断中有着越来越重要的运用。

In this case,if we are still based on the stock index returns in the previous period.then bigger bias may occur and we might make error judgement,therefore we should cogitate these factors when studying the return levels.

在这种情形下,如果仍然以前一时期的股指收益率数据拟合模型为依据,对现时期的收益率进行预测等统计推断,可能会产生很大的偏差甚至会造成错误的判断,因此我们在研究返回水平时应该慎重考虑这些因素。

If the assumption is violated and nondiagonal working correlation matrix is used in GEE, the statistical inference may be

如果该假定不能满足,可能得不到相合估计,由此进行的统计推断的效率可能不高。

The role of statistical inference is to estimate the best parameter values or constants in an assumed cost function.

的作用,统计推断是估计的最佳参数值或常数的假设成本函数。

In statistical inferences,somtimes we deal with such problems:the numberof obersavations falling in some disjoint sets is known,but no individual valuesof the observations are recorded.we call such observations the grouped sam-ples.

统计推断中,我们有时会得到这样的数据:数据的具体值未知,但是知道数据落入一些不相交区域中的个数,我们称这样的数据为分组数据。

The acceptable rules of statistical model are discussed in this article.

通过遗传学规律的统计探索,揭示了统计推断在科学发现中的助推作用。

Topics include: sample spaces, axioms of probability, conditional probability and independence, discrete and continuous random variables, jointly distributed random variables, characteristics of random variables, law of large numbers and central limit theorem, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

概率论部分作为基础知识,是全部内容的重点之一,为读者提供必要的理论基础;数理统计部分,主要介绍常用的统计推断方法:参数估计、假设检验、方差分析、回归和相关分析等内容。

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