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Baxter, G.: An ergodic theorem with weighted averages. J. Math. Mech. 13, 481–488 (1964).
—: A general ergodic theorem with weighted averages. J. Math. Mech. 14, 277–288 (1965).
Loéve, M.: Probability theory. New York: Van Nostrand 1955.
Pitman, E. J. G.: On the derivatives of a characteristic function at the origin. Ann. Math. Statistics 27, 1156–1160 (1956).
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This work was partially supported by the Air Force Office of Scientific Research.
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Jamison, B., Orey, S. & Pruitt, W. Convergence of weighted averages of independent random variables. Z. Wahrscheinlichkeitstheorie verw Gebiete 4, 40–44 (1965). https://doi.org/10.1007/BF00535481
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DOI: https://doi.org/10.1007/BF00535481