Keywords
- Covariance Operator
- Gaussian Measure
- Average Mutual Information
- Absolute Continuity
- Real Separable Banach Space
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References
Yu. V. Prohorov, Convergence of Random Processes and Limit Theorems in Probability Theory, Theory Probability Appl., 1, 157–214 (1956).
I.I. Gihman and A.V. Skorohod, The Theory of Stochastic Processes, I, Springer-Verlag, Berlin (1974).
P. Gänssler, Compactness and sequential compactness in spaces of measures, Z. Wahrscheinlichkeitstheorie verw. Geb., 17, 124–146 (1971).
A. Grothendieck, Sur les applications linéaires faiblement compactes d’espaces du type C(K), Canadian J. Math, 5, 129–173 (1953).
N. Dunford and J.T. Schwartz, Linear Operators. Part I, Interscience, New York (1958).
P.A. Meyer, Probability and Potentials, Blaisdell, Waltham (1966).
J. Hajek, A property of the J-divergences of marginal probability distributions, Czech. Math. J., 8, 460–463 (1958).
C.R. Baker, Absolute Continuity for a Class of Probability Measures, Lecture Notes in Math. (Vector Space Measures, I, Dublin, 1977) 644, 44–50 (1978).
C.R. Baker, Characteristic Function Conditions for Absolute Continuity, to appear.
T. S. Pitcher, On the sample function of processes which can be added to a Gaussian process, Ann. Math. Stat., 34, 329–333 (1963).
J. Hajek, On linear statistical problems in stochastic processes, Czech. Math. J., 87, 404–444 (1962).
C.R. Baker, Mutual information, strong equivalence, and signal sample path properties for Gaussian processes, to appear, Information and Control.
C.R. Baker, Capacity of the Gaussian channel without feedback, Information and Control, 37, 70–89 (1978).
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© 1979 Springer-Verlag
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Baker, C.R. (1979). Conditions for absolute continuity. In: Beck, A. (eds) Probability in Banach Spaces II. Lecture Notes in Mathematics, vol 709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071946
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DOI: https://doi.org/10.1007/BFb0071946
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