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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Sums of stationary random variables


Author: Enders A. Robinson
Journal: Proc. Amer. Math. Soc. 11 (1960), 77-79
MSC: Primary 60.00
MathSciNet review: 0111068
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  • [1] A. N. Kolmogorov, Stationary sequences in Hilbert space, Bull. Moscow State Univ. Ser. Math. vol. 2 no. 6 (1941) 40 pp.
  • [2] J. von Neumann, Eigenwerttheorie Hermitescher Functionaloperatoren, Math. Ann. vol. 102 (1929) pp. 49-131.
  • [3] -, Proof of the quasiergodic hypothesis, Proc. Nat. Acad. Sci. U.S.A. vol. 18 (1932) pp. 70-82.
  • [4] A. Khintchine, Korrelationstheorie der stationären stochastischen Prozesse, Math. Ann. 109 (1934), no. 1, 604–615 (German). MR 1512911, http://dx.doi.org/10.1007/BF01449156
  • [5] Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877 (99k:47001)

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DOI: http://dx.doi.org/10.1090/S0002-9939-1960-0111068-9
PII: S 0002-9939(1960)0111068-9
Article copyright: © Copyright 1960 American Mathematical Society