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Explaining a Mysterious Maximal Inequality — and a Path to the Law of Large Numbers

Pages 490-494 | Published online: 13 Dec 2017

REFERENCES

  • N. Etemadi, An elementary proof of the strong law of large numbers, Z. Wahrsch. Verw. Gebiete 55 no. 1 (1981) 119–122.
  • A. M. Garsia, A simple proof of E. Hopf's maximal ergodic theorem, J. Math. Mech. 14 (1965) 381–382.
  • E. Hopf, The general temporally discrete Markoff process, J. Rational Mech. Anal. 3 (1954) 13–45.
  • Y. Katznelson, B. Weiss, A simple proof of some ergodic theorems, Israel J. Math. 42 no. 4 (1982) 291–296.
  • M. Keane, K. Petersen, Easy and nearly simultaneous proofs of the ergodic theorem and maximal ergodic theorem, in Dynamics & Stochastics. Vol. 48, IMS Lecture Notes Monogr. Ser., Edited by D. Denteneer, F. den Hollander, and E. Verbitskiy, Inst. Math. Statist., Beachwood, OH, 2006. 248–251.
  • K. Yosida, S. Kakutani, Birkhoff's ergodic theorem and the maximal ergodic theorem, Proc. Imp. Acad., Tokyo 15 (1939) 165–168.

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