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读古知今,深入感悟计数本质——《探秘阿拉伯数字》教学与评析
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作者 罗炉枝(执教) 虞秀云(评析) 《教育视界》 2023年第23期57-61,共5页
《探秘阿拉伯数字》是基于记数史绘本《过去的人们是怎么数数的呢?》的一节数学阅读指导课,通过让学生阅读数学史,在追本溯源中去深度探究计数本质,感悟数的产生与发展。教师创造性地运用数学史这一数学文化内容,适时地带领学生追本溯源... 《探秘阿拉伯数字》是基于记数史绘本《过去的人们是怎么数数的呢?》的一节数学阅读指导课,通过让学生阅读数学史,在追本溯源中去深度探究计数本质,感悟数的产生与发展。教师创造性地运用数学史这一数学文化内容,适时地带领学生追本溯源,可以打通数学史和书本知识之间的通道,让抽象的数学知识焕发生命力。 展开更多
关键词 《探秘阿拉伯数字》 数学阅读 阅读指导 计数本质
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THE LARGE SAMPLE PROPERTIES OF THE SOLUTIONS OF GENERAL ESTIMATING EQUATIONS
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作者 Huixiu ZHAO Jinguan LIN 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第2期315-328,共14页
This paper develops the large sample properties of the solutions of the general estimating equations which are unbiased or asymptotically unbiased or with nuisance parameters for correlated data.The authors do not mak... This paper develops the large sample properties of the solutions of the general estimating equations which are unbiased or asymptotically unbiased or with nuisance parameters for correlated data.The authors do not make the assumption that the estimating equations come from some objective function when we establish the large sample properties of the solutions.So these results extend the work of Newey and McFadden(1994) and are more widely applicable.Furthermore,we provide some examples to justify the importance of our work. 展开更多
关键词 Asymptotic normality CONSISTENCY estimating equations large sample property nuisanceparameter.
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Some uniform convergence results for kernel estimators
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作者 MENG MeiXia AI ChunRong 《Science China Mathematics》 SCIE 2013年第9期1945-1956,共12页
This paper derives some uniform convergence rates for kernel regression of some index functions that may depend on infinite dimensional parameter. The rates of convergence are computed for independent, strongly mixing... This paper derives some uniform convergence rates for kernel regression of some index functions that may depend on infinite dimensional parameter. The rates of convergence are computed for independent, strongly mixing and weakly dependent data respectively. These results extend the existing literature and are useful for the derivation of large sample properties of the estimators in some semiparametric and nonparametric models. 展开更多
关键词 uniform convergence kernel estimation convergence rate
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