@article{AIHPB_1975__11_2_109_0, author = {Smythe, R. T.}, title = {Ergodic properties of marked point processes in $R^r$}, journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques}, pages = {109--125}, publisher = {Gauthier-Villars}, volume = {11}, number = {2}, year = {1975}, mrnumber = {375440}, zbl = {0307.60047}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1975__11_2_109_0/} }
TY - JOUR AU - Smythe, R. T. TI - Ergodic properties of marked point processes in $R^r$ JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1975 SP - 109 EP - 125 VL - 11 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1975__11_2_109_0/ LA - en ID - AIHPB_1975__11_2_109_0 ER -
%0 Journal Article %A Smythe, R. T. %T Ergodic properties of marked point processes in $R^r$ %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1975 %P 109-125 %V 11 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1975__11_2_109_0/ %G en %F AIHPB_1975__11_2_109_0
Smythe, R. T. Ergodic properties of marked point processes in $R^r$. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Volume 11 (1975) no. 2, pp. 109-125. http://archive.numdam.org/item/AIHPB_1975__11_2_109_0/
[1] A general ergodic theorem. Annals of Math., t. 58, 1953, p. 182-191. | MR | Zbl
,[2] A Course in Probability Theory (2nd edition), Academic Press, 1974. | MR | Zbl
,[3] 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. | MR | Zbl
and ,[4] Inequalities for the rth absolute moments of a sum of random variables, 1 ≤ r ≤ 2. Ann. Math. Stat., t. 36, 1965, p. 299-303. | MR | Zbl
and ,[5] Real Analysis, Springer-Verlag, 1965. | MR
and ,[6] Point processes, in Advances in Probability, vol. 3, P. Ney, ed., Marcel Dekker, 1974. | MR
,[7] Probability Theory (second edition), Van Nostrand, 1960. | Zbl
,[8] On Poisson and compound Poisson stochastic functions. Studia Math., t. 16, 1957, p. 142-155. | MR | Zbl
,[9] Inequalities for max Sk/bk, where k ∈ Nr (to appear in Proc. Am. Math. Soc.). | MR | Zbl
and ,[10] Strong laws of large numbers for r-dimensional arrays of random variables. Annals of Probability, t. 1, 1973, p. 164-170. | MR | Zbl
,[11] Sums of independent random variables on partially ordered sets. Annals of Probability, t. 2, 1974, p. 906-917. | MR | Zbl
,[12] Inequalities with applications to the weak convergence of random processes. Ann. Math. Stat., t. 40, 1969, p. 681-687. | MR | Zbl
,[13] An individual ergodic theorem for non-commutative transformations. Acta Sci. Math. Szeged, t. 14, 1951, p. 103-110. | MR | Zbl
,