翻訳と辞書 Words near each other ・ High-definition radio ・ High-definition remasters for PlayStation consoles ・ High-Definition Space Telescope ・ High-definition television ・ High-definition television in Singapore ・ High-definition television in the United Kingdom ・ High-definition television in the United States ・ High-Definition Versatile Disc ・ High-definition video ・ High-Definition Video Processor ・ High-density lipoprotein ・ High-density polyethylene ・ High-density solids pump ・ High-density storage media ・ High-dimensional model representation ・ High-dimensional statistics ・ High-dose chemotherapy and bone marrow transplant ・ High-dynamic-range imaging ・ High-dynamic-range rendering ・ High-Efficiency Advanced Audio Coding ・ High-efficiency hybrid cycle ・ High-electron-mobility transistor ・ High-end audio ・ High-energy astronomy ・ High-energy phosphate ・ High-energy visible light ・ High-energy X-rays ・ High-Enthalpy Arc Heated Facility ・ High-explosive anti-tank warhead ・ High-explosive squash head Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク High-dimensional statistics ： ウィキペディア英語版 High-dimensional statistics In statistical theory, the field of high-dimensional statistics studies data whose dimension is larger than dimensions considered in classical multivariate analysis. High-dimensional statistics relies on the theory of random vectors. In many applications, the dimension of the data vectors may be larger than the sample size. ==History== Traditionally, statistical inference considers a probability model for a population and considers data that arose as a sample from the population. For many problems, the estimates of the population characteristics ("parameters") can be substantially refined (in theory) as the sample size increases toward infinity. A traditional requirement of estimators is consistency, that is, the convergence to the unknown true value of the parameter. In 1968, A.N.Kolmogorov proposed another setting of statistical problems and another setting for the asymptotics, in which the dimension of variables ''p'' increases along with the sample size ''n'' so that the ratio ''p''/''n'' tends to a constant. It was called the “increasing dimension asymptotics” or “the Kolmogorov asymptotics”〔S. A. Aivasian, V. M. Buchstaber, I. S. Yenyukov, L. D. Meshalkin. Applied Statistics. Classification and Reduction of Dimensionality. Moscow, 1989 (in Russian).〕 Kolmogorov's approach makes it possible to isolate many principal terms of error probabilities and of standard measures of the quality of estimators (quality functions) for large ''p'' and ''n''. Recently, researchers are more interested in even larger dimension cases, e.g. $p\; =\; O(\backslash exp(n^a))$, where 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「High-dimensional statistics」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.