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Activity Number: 69 - Modern Statistical Methods for Multi-Scale and Time Series Data
Type: Contributed
Date/Time: Sunday, July 30, 2017 : 4:00 PM to 5:50 PM
Sponsor: International Indian Statistical Association
Abstract #323881
Title: Approximate Sufficient Dimension Reduction: a Multiresolution Analysis
Author(s): Siamak Noorbaloochi* and David Nelson
Companies: VA Health Care System and Dept Veterans Affairs, Univ Minnesota
Keywords: Sufficient Summary ; Multiresolution Analysis ; Density Ratio ; Spectral decomposition
Abstract:

Analysis of Variance of density ratios is used to construct X-sufficient and approximate X-sufficient summaries. However, when density ratios are hard to specify, a multiresolution analysis is used for approximating X-sufficient summaries via sequentially projecting into inverse-regression conditional density ratio subspaces. Mercer's spectral decomposition theorem and the corresponding functional principal components provide the local approximating subspaces.


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