Ergodic properties of marked point processes in $R^r$

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1. [1] A.P. Calderon, A general ergodic theorem. Annals of Math., t. 58, 1953, p. 182-191. Zbl0052.11903MR55415
2. [2] K.L. Chung, A Course in Probability Theory (2nd edition), Academic Press, 1974. Zbl0345.60003MR1796326
3. [3] D.J. Daley and D. Vere-Jones, A summary of the theory of point processes, in Stochastic Point Processes: Statistical Analysis, Theory and Applications, P. A. W. Lewis, ed., Wiley, 1972, p. 299-383. Zbl0278.60035MR365698
4. [4] C.G. Esseen and B. Von Bahr, Inequalities for the rth absolute moments of a sum of random variables, 1 ≤ r ≤ 2. Ann. Math. Stat., t. 36, 1965, p. 299-303. Zbl0134.36902MR170407
5. [5] E. Hewitt and K. Stromberg, Real Analysis, Springer-Verlag, 1965. Zbl0137.03202MR188387
6. [6] P. Jagers, Point processes, in Advances in Probability, vol. 3, P. Ney, ed., Marcel Dekker, 1974. MR397872
7. [7] M. Loève, Probability Theory (second edition), Van Nostrand, 1960. Zbl0095.12201
8. [8] A. Prekopa, On Poisson and compound Poisson stochastic functions. Studia Math., t. 16, 1957, p. 142-155. Zbl0208.43503MR97843
9. [9] G.R. Shorack and R.T. Smythe, Inequalities for max Sk/bk, where k ∈ Nr (to appear in Proc. Am. Math. Soc.). Zbl0327.60036MR400386
10. [10] R.T. Smythe, Strong laws of large numbers for r-dimensional arrays of random variables. Annals of Probability, t. 1, 1973, p. 164-170. Zbl0258.60026MR346881
11. [11] R.T. Smythe, Sums of independent random variables on partially ordered sets. Annals of Probability, t. 2, 1974, p. 906-917. Zbl0292.60081MR358973
12. [12] M. Wichura, Inequalities with applications to the weak convergence of random processes. Ann. Math. Stat., t. 40, 1969, p. 681-687. Zbl0214.17701MR246359
13. [13] A. Zygmund, An individual ergodic theorem for non-commutative transformations. Acta Sci. Math. Szeged, t. 14, 1951, p. 103-110. Zbl0045.06403MR45948