The Annals of Statistics

Correction: Successive normalization of rectangular arrays

Richard A. Olshen and Bala Brajaratnam

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Abstract

We report an error in Theorem 4.1 of the paper identified in the title. That theorem is not true in general. However, the main mathematical message in the paper as well as all subsidiary mathematical remarks and all simulations and numerical results are correct. As the title suggests, the paper concerns successive normalization of rectangular arrays. We learned the algorithm from Bradley Efron. Here we sketch the algorithm, state the mistake in our paper, sketch our approach to proving its main theorem, and give reference to a paper by the authors where many more details can be found.

Article information

Source
Ann. Statist., Volume 41, Number 5 (2013), 2700-2702.

Dates
First available in Project Euclid: 9 December 2013

Permanent link to this document
https://projecteuclid.org/euclid.aos/1386598637

Digital Object Identifier
doi:10.1214/13-AOS1177

Mathematical Reviews number (MathSciNet)
MR3161444

Zentralblatt MATH identifier
1283.62136

Subjects
Primary: 62H05: Characterization and structure theory 60F15: Strong theorems 60G46: Martingales and classical analysis

Keywords
Normalization standardization

Citation

Olshen, Richard A.; Brajaratnam, Bala. Correction: Successive normalization of rectangular arrays. Ann. Statist. 41 (2013), no. 5, 2700--2702. doi:10.1214/13-AOS1177. https://projecteuclid.org/euclid.aos/1386598637


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References

  • [1] Blackwell, D. and Dubins, L. (1962). Merging of opinions with increasing information. Ann. Math. Statist. 33 882–886.
  • [2] Olshen, R. A. and Rajaratnam, B. (2010). Successive normalization of rectangular arrays. Ann. Statist. 38 1638–1664.
  • [3] Olshen, R. A. and Rajaratnam, B. (2012). Successive standardization of rectangular arrays. Algorithms (Basel) 5 98–112.

See also