Data processing: measuring – calibrating – or testing – Measurement system – Measured signal processing
Reexamination Certificate
2005-08-16
2005-08-16
Bui, Bryan (Department: 2863)
Data processing: measuring, calibrating, or testing
Measurement system
Measured signal processing
C702S199000
Reexamination Certificate
active
06931363
ABSTRACT:
The aim of the present invention is to estimate EDR directions in a single index model composed of a large number of variables with simple calculations without using the inverse matrix of the variance-covariance matrix and principle component analysis. Data conversion means21receives, from an input device3, data to be analyzed, the data composed of sets of response variables and explanatory variables, standardizes the explanatory variables, and sends them to slice average calculating means22. The slice average calculating means22divides the data into two slices with reference to the median of the response variables to calculate the mean vector of the explanatory variables on a slice basis. The calculated mean vectors are sent to EDR direction calculating means23. The EDR direction calculating means23calculates the difference between the mean vectors for respective slices to estimate an EDR direction. The EDR direction calculating means23also corrects the estimated EDR direction using the inverse matrix of the correlation matrix of the explanatory variables, if any. Both the estimated EDR direction and the corrected EDR direction are sent to the data conversion means21, and transformed by the data conversion means21into the original coordinate system.
REFERENCES:
Zhu et al., Asymptotics for kernel Estimate of Sliced Inverse Regression, 1996, The annals of statistics, vol. 24, No. 3, pp. 1053-1068.
Bura et al. Graphical Methods for Class Prediction Using Dimension Reduction Techniques on DNA Microarray Data, The George Washington University, Depart. of Statistics, Date Unknown.
Li, High Dimensional Data Analysis Via the SIR/PHD Approach, Apr. 2000, www.stat.ucla.edu/˜kcli/sir-PHD.pdf.
Zhu et al., Asymptotics of Sliced Inverse Regression, 1995, Statistica Sinica 5, pp. 727-736.
Yin et al., Dimension Reduction for the Conditional Kth Moment in Regression, 2002, J.R. Statist. Soc. B, vol. 64, Part 2, pp. 159-175.
Hristache et al., Direct estimation of the Index Coefficient in a Single-Index Model, 2001, The Annals of Statistics, vol. 29, No. 3, pp. 595-623.
Ker-Chau Li, “Sliced Inverse Regression for Dimension Reduction”, Journal of the American Statistical Association, Jun. 1991, vol. 86, No. 414, pp. 316-342.
Wolfgang Haerdle, et al., “Optimal Smoothing in Single-Index Models”, The Annals of Statistics, 1993, vol. 21, No. 1, 157-178.
Yingcun Xia, “An Adaptive Estimation of Dimension Reduction Space”, J.R. Statist. Soc. B, 2002, vol. 64, Part 3, pp. 363-410.
Andoh Masataka
Ohtaki Megu
Saitoh Akira
Satoh Kenichi
Bui Bryan
Le Toan M.
NEC Corporation
Scully Scott Murphy & Presser
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