Curves As Parameters, and Touch Estimation
Curves As Parameters, and Touch Estimation
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曲线作为参数和触摸估计
DOI：
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发表时间：
1961
期刊：
影响因子：
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通讯作者：
J. Tukey
中科院分区：
文献类型：
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作者：
J. Tukey
本文的目的有两个：明确在估计平稳时间序列的功率谱时出现的某些解释问题完全类似于在执行两个非常基本和经典的统计程序时出现的解释问题，并发展新的估计概念来澄清所有三个实例的解释。在此过程中，我们必须注意渐近结果与实际应用的关系。我们所关心的论证的性质是这样的，似乎最好从两种最经典的统计学情况开始，无限制回归和直方图的构建，并随着我们一步一步的进展而发展必要的新概念和态度，而不是在动机和说明可用之前引入新的形式概念。最后一节阐述了这些概念，并概述了所获得结果的性质。
The aims of this paper are two-fold: to make clear that certain problems of interpretation which arise in estimating power spectra of stationary time series are entirely analogous to problems of interpretation which arise in carrying out two very elementary and classical statistical procedures, and to develop new concepts of estimation which clarify the interpretation of all three instances. En route, we shall have to give some attention to relation of asymptotic results to practical application. The nature of the argument with which we are concerned is such that it seems best to begin with two of the most classical situations of statistics, unrestricted regression and the construction of histograms, and to develop the necessary new concepts and attitudes as we progress step by step, rather than to introduce the new formal concepts before motivation and illustration are available. These concepts are stated, and the nature of the results obtained outlined, in the last section.