Asymptotic analysis of the Forward Search
The Forward Search is an iterative algorithm concerned with detection of outliers and other unsuspected structures in data.� This approach has been suggested, analysed and applied for regression models in the monograph Atkinson and Riani (2000).� An asymptotic analysis of the Forward Search is made.� The argument involves theory for a new class of weighted and marked empirical processes, quantile process theory, and a fixed point argument to describe the iterative element of the procedure.
|Date of creation:||11 Feb 2013|
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- Marco Riani & Anthony C. Atkinson & Andrea Cerioli, 2009. "Finding an unknown number of multivariate outliers," LSE Research Online Documents on Economics 30462, London School of Economics and Political Science, LSE Library.
- Marco Riani & Anthony C. Atkinson & Andrea Cerioli, 2009. "Finding an unknown number of multivariate outliers," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(2), pages 447-466.
- Bent Nielsen & Soren Johansen, 2010. "Discussion of The Forward Search: Theory and Data Analysis," Economics Series Working Papers 2010-W02, University of Oxford, Department of Economics.
- E ric E ngler & B ent N ielsen, 2009.
"The empirical process of autoregressive residuals,"
Royal Economic Society, vol. 12(2), pages 367-381, 07.
- Eric Engler & Bent Nielsen, 2007. "The empirical process of autoregressive residuals," Economics Series Working Papers 2007-W01, University of Oxford, Department of Economics.
- Bent Nielsen & Eric Engler, 2007. "The empirical process of autoregressive residuals," Economics Papers 2007-W01, Economics Group, Nuffield College, University of Oxford.
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