Taussky, Olga (1966) Remarks on a matrix theorem arising in statistics. Monatshefte für Mathematik, 70 (5). pp. 461-464. ISSN 0026-9255. doi:10.1007/bf01300451. https://resolver.caltech.edu/CaltechAUTHORS:20201022-100904530
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Abstract
The following Theorem 1. plays a certain role in statistics and proofs and generalizations have appeared for some time (for algebraic proofs and references see [l], [2]). Although the matrices studied in the theorem are finally shown to be commutative the proofs so far do not go after this fact explicitly. Here a proof wiU be given which links the theorem with commutativity. Further, a recently obtained generalization of the theorem is reproved by reducing it to the special case.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1966 Springer. (Received December 21, 1965) This research was carried out (in part) under grant GP 3909 of the National Science Foundation. | |||||||||
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| Issue or Number: | 5 | |||||||||
| DOI: | 10.1007/bf01300451 | |||||||||
| Record Number: | CaltechAUTHORS:20201022-100904530 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201022-100904530 | |||||||||
| Official Citation: | Taussky, O. Remarks on a matrix theorem arising in statistics. Monatshefte für Mathematik 70, 461–464 (1966). https://doi.org/10.1007/BF01300451 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 106209 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 22 Oct 2020 22:22 | |||||||||
| Last Modified: | 16 Nov 2021 18:51 |
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