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Sequential Analysis
Design Methods and Applications
Volume 34, 2015 - Issue 3: Celebrating Seventy Years of Charles Stein's 1945 Seminal Paper on Two-Stage Sampling
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Original Articles

Geometric Classifier for Multiclass, High-Dimensional Data

Makoto AoshimaInstitute of Mathematics, University of Tsukuba, Ibaraki, Japan
&
Kazuyoshi YataInstitute of Mathematics, University of Tsukuba, Ibaraki, Japan
Pages 279-294 | Received 30 Jul 2014, Accepted 31 May 2015, Published online: 14 Aug 2015

REFERENCES

  • Aoshima, M., and Yata, K., 2011a. Authors’ Response, Sequential Analysis 30 (2011a), pp. 432–440.
  • Aoshima, M., and Yata, K., 2011b. Two-Stage Procedures for High-Dimensional Data (Editor's special invited paper), Sequential Analysis 30 (2011b), pp. 356–399.
  • Aoshima, M., and Yata, K., 2014. A Distance-Based, Misclassification Rate Adjusted Classifier for Multiclass, High-Dimensional Data, Annals of Institute of Statistical Mathematics 66 (2014), pp. 983–1010.
  • Aoshima, M., and Yata, K., 2015a. Asymptotic Normality for Inference on Multisample, High-Dimensional Mean Vectors under Mild Conditions, Methodology and Computing in Applied Probability 17 (2015a), pp. 419–439.
  • Aoshima, M., and Yata, K., 2015b. 2015b, High-Dimensional Quadratic Classifiers in Non-Sparse Settings. arXiv:1503.04549.
  • Armstrong, S. A., Staunton, J. E., Silverman, L. B., Pieters, R., den Boer, M. L., Minden, M. D., Sallan, S. E., Lander, E. S., Golub, T. R., and Korsmeyer, S. J., 2002. MLL Translocations Specify a Distinct Gene Expression Profile That Distinguishes a Unique Leukemia, Nature Genetics 30 (2002), pp. 41–47.
  • Chan, Y.-B., and Hall, P., 2009. Scale Adjustments for Classifiers in High-Dimensional, Low Sample Size Settings, Biometrika 96 (2009), pp. 469–478.
  • Dudoit, S., Fridlyand, J., and Speed, T. P., 2002. Comparison of Discrimination Methods for the Classification of Tumors Using Gene Expression Data, Journal of American Statistical Association 97 (2002), pp. 77–87.
  • Stein, C., 1945. A Two-Sample Test for a Linear Hypothesis Whose Power Is Independent of the Variance, Annals of Mathematical Statistics 16 (1945), pp. 243–258.
  • Stein, C., 1949. Some Problems in Sequential Estimation (abstract), Econometrica 17 (1949), pp. 77–78.
  • Yata, K., and Aoshima, M., 2013. Correlation Tests for High-Dimensional Data Using Extended Cross-Data-Matrix Methodology, Journal of Multivariate Analysis 117 (2013), pp. 313–331.

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