Exploring Multivariate Data with the Forward Search
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منابع مشابه
Strong consistency and robustness of the Forward Search estimator of multivariate location and scatter
The Forward Search is a powerful general method for detecting anomalies in structured data, whose diagnostic power has been shown in many statistical contexts. However, despite the wealth of empirical evidence in favour of the method, only few theoretical properties have been established regarding the resulting estimators. We show that the Forward Search estimators are strongly consistent at th...
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In this article we extend and implement the forward search algorithm for identifying atypical subjects/observations in factor analysis models. The forward search has been mainly developed for detecting aberrant observations in regression models ( Atkinson, 1994 ) and in multivariate methods such as cluster and discriminant analysis ( Atkinson, Riani, & Cerioli, 2004 ). Three data sets and a sim...
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Forward Search (FS, for short) is a recent and promising technique for exploring multivariate observations (Atkinson et al., 2004; Riani et al.; 2009). LetX1, . . .,Xn be n ı.i.d. k-variate normal random variables (r.v.’s), with mean vectorμ and covariance matrix Σ. Let further 0 < α ≤ 1, and m = [nα]. If X (m) is a subset of m observations from {X1, . . . , Xn}, denote by μ̂(X ), Σ̂(X ) the samp...
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عنوان ژورنال:
- Technometrics
دوره 46 شماره
صفحات -
تاریخ انتشار 2004