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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Estimating equations ： ウィキペディア英語版 Estimating equations In statistics, the method of estimating equations is a way of specifying how the parameters of a statistical model should be estimated. This can be thought of as a generalisation of many classical methods --- the method of moments, least squares, and maximum likelihood --- as well as some recent methods like M-estimators. The basis of the method is to have, or to find, a set of simultaneous equations involving both the sample data and the unknown model parameters which are to be solved in order to define the estimates of the parameters.〔Dodge, Y. (2003) ''Oxford Dictionary of Statistical Terms'', OUP. ISBN 0-19-920613-9〕 Various components of the equations are defined in terms of the set of observed data on which the estimates are to be based. Important examples of estimating equations are the likelihood equations. ==Examples== Consider the problem of estimating the rate parameter, λ of the exponential distribution which has the probability density function: :$$ f(x;\lambda) = \left\, &\; x \ge 0, \\ 0, &\; x < 0. \end\right. Suppose that a sample of data is available from which either the sample mean, $\backslash bar$, or the sample median, ''m'', can be calculated. Then an estimating equation based on the mean is :$\backslash bar=\backslash lambda^,$ while the estimating equation based on the median is :$m=\backslash lambda^\; \backslash ln\; 2\; .$ Each of these equations is derived by equating a sample value (sample statistic) to a theoretical (population) value. In each case the sample statistic is a consistent estimator of the population value, and this provides an intuitive justification for this type of approach to estimation. 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「Estimating equations」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.