References
H. Cramer, A contribution to the theory of stochastic processes,Proc. 2nd Berkeley Symp. Math. Stat. Prob. (1951), pp. 329–339.
K. L. Chung,A Course in Probability Theory, Harcourt, Brace & World, Inc. (New York, 1968).
N. Dinculeanu,Vector Measures, Pergamon Press (New York, 1967).
N. Dinculeanu andI. Kluvanek, On vector measures,London Math. Soc. Proc.,3 (1967).
J. L. Doob,Stochastic Processes, John Wiley and Sons, Inc. (New York, 1953).
P. R. Halmos,Measure Theory, van Nostrand (New York, 1950).
P. R. Halmos,Introduction to Hilbert Space, Chelsea Publishing Co. (New York, 1951).
J. F. C. Kingman, Completely random measures,Pacific J. Math.,21 (1968), 59–78.
S. Khalili,Independently scattered measures, Doctoral Thesis (Uiversity of Pittsburgh, 1975).
S. Khalili, On the ocillation of the Brownian motion random measure,Ann. Prob.,5 (1977).
E. Lukacs,Stochastic Convergence, D. C. Heath (Lexington, Mass., 1968).
P. R. Masani, Orthogonally scattered measures,Advances in Math.,2 (1968), 61–117.
P. R. Masani, Quasi-isometric measures and their applications,Bull. Amer. Math. Soc.,76 (1970), 427–528.
A. Prékopa, On stochastic set functions. I,Acta Math. Acad. Sci. Hungar.,7 (1956), 215–263.
A. Prékopa, On stochastic set functions. II,Acta Math. Acad. Sci. Hungar.,8 (1957), 337–374.
A. Prékopa, On stochasticset functions. III,Acta Math. Acad. Sci. Hungar.,8 (1957), 375–400.
K. Urbanik, Random measures and harmonizable sequences,Studia Sci. Math. Hungar.,3 (1968), 6–88.
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This paper is based on a part of the author's Ph. D. Thesis written under the direction of Professor P. R. Masani at the University of Pittsburgh.
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Khalili, S. Independently scattered measures. Acta Mathematica Academiae Scientiarum Hungaricae 34, 33–41 (1979). https://doi.org/10.1007/BF01902590
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DOI: https://doi.org/10.1007/BF01902590