Keywords
- Tensor Product
- Disjoint Subset
- Spectral Projection
- Consistent Test
- Statistical Decision Theory
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References
A. Bartoszewicz, The Projective Limit of Consistent Family of States on Tensor Products of W*-Algebras, Bull. Pol. Acad. Sci. Math. 31, No. 5–8 (1983), 273–279.
A. Bartoszewicz, Remarks on the Consistency of Tests in Noncommutative Statistics, to appear in Prob. and Math. Stat.
D. Bures, Tensor product of W*-algebras, Pac. J. Math. 27 (1968), 13–37.
D. Bures, An extension of Kakutani's theorem on infinite product measures to the tensor product of semifinite W*-algebras, Trans. Amer. Math. Soc. 135 (1969), 199–212.
A.S. Holevo, The Analogue of Statistical Decision Theory in the Noncommutative Probability Theory, Proc. Moscow Math. Soc. 26 (1972), 133–149.
H. Kosaki, On the Bures distance and the Uhlmann transition probability of states on a von Neumann algebra, preprint.
C. Kraft, Some Conditions for Consistency and Uniform Consistency of Statistical Procedures, Univ. Calif. Pub. Stat. 2, No. 6 (1955), 125–141.
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© 1989 Springer-Verlag
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Bartoszewicz, A. (1989). On some sufficient conditions for the existence of a consistent test in noncommutative statistics. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083376
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DOI: https://doi.org/10.1007/BFb0083376
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