An elementary proof of the Gaussian dichotomy theorem
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KeywordsStochastic Process Probability Theory Mathematical Biology Dichotomy Theorem Elementary Proof
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- 1.Kakutani, S.: On equivalence of infinite product measures. Ann. of Math. II. Ser. 49, 214–224 (1948).Google Scholar
- 2.Kraft, C.: Some conditions for consistency and uniform consistency of statistical procedures. Univ. California Publ. Statist. 2, 125–142 (1955).Google Scholar
- 3.Shepp, L.A.: The singularity of Gaussian measures in function space. Proc. nat. Acad. Sci. USA 52, 430–433 (1964).Google Scholar
- 4.Hájek, J.: On a property of normal distributions of an arbitrary stochastic process (in Russian). Czechosl. math. J. 8, 610–618 (1958). (Also Select Transl. math. Statist. Probab. 1, 245–253).Google Scholar
- 5.Feldman, J.: Equivalence and perpendicularity of Gaussian processes. Pacific J. Math. 8, 699–708 (1958).Google Scholar
- 6.—: Correction to equivalence and perpendicularity of Gaussian processes. ibid. 9, 1295–1296 (1959).Google Scholar
- 7.Xia, D.X.: Measure and Integration Theory on Infinite-dimensional Spaces (in Chinese, Shanghai 1965; English translation. New York: Academic Press 1971).Google Scholar
- 8.Halmos, P.: Measure Theory. New York: Van Nostrand 1950.Google Scholar
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