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The theorems in Section 1 are essentially contained in a thesis written under Professor Herman Rubin in 1963. This paper was partially supported by NSF G-24500, Ns G-568.
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Fisk, D.L. Sample quadratic variation of sample continuous, second order martingales. Z. Wahrscheinlichkeitstheorie verw Gebiete 6, 273–278 (1966). https://doi.org/10.1007/BF00537825
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DOI: https://doi.org/10.1007/BF00537825