@article{CM_1968__19_4_299_0,
author = {Stam, A. J.},
title = {Laws of large numbers for functions of random walks with positive drift},
journal = {Compositio Mathematica},
volume = {20},
year = {1968},
pages = {299-333},
mrnumber = {243627},
zbl = {0239.60029},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1968__19_4_299_0}
}
Stam, A. J. Laws of large numbers for functions of random walks with positive drift. Compositio Mathematica, Tome 20 (1968) pp. 299-333. http://gdmltest.u-ga.fr/item/CM_1968__19_4_299_0/
[1] On the Application of the Individual Ergodic Theorem to Discrete Stochastic Processes. Trans. Amer. Math. Soc. 78 (1955), 482-491. | Zbl 0068.12301
and [2] A General Ergodic Theorem. Illinois J. of Math. 4 (1960), 153 -160. | Zbl 0134.12102
and [3] Non-recurrent Random Walks. Pacific J. of Math. 6 (1956), 441-447. | MR 81587 | Zbl 0072.35301
[4] On the Mean Ergodic Theorem. Ann. Math. 41 (1940), 505 - 509. | JFM 66.0560.02 | Zbl 0024.21401
[5] A note on Nonrecurrent Random Walks. Proc. Amer. Math. Soc. 7 (1956), 762-765. | MR 83221 | Zbl 0072.35302
[6] Stochastic Processes. Wiley, 1953. | MR 58896 | Zbl 0053.26802
and [7] On the ergodic theorem, Trans. Amer. Math. Soc. 60 (1946), 538 - 549. | Zbl 0063.01187
[8] An Introduction to Probability Theory and its Applications, Volume II. Wiley, 1966. | MR 210154 | Zbl 0039.13201
and [9] A Renewal Theorem. J. of Math. and Mech. 10 (1961), 619-624. | Zbl 0096.33401
and [10] Ergodic Theory of Markov Chains Admitting an Infinite Invariant Measure. Proc. Nat. Ac. of Sc. U.S.A. 39 (1953), 860-864. | MR 56873 | Zbl 0051.10503
and [11] The Sequence of Sums of Independent Random Variables. Duke Math. J. 21 (1954), 285-307. | Zbl 0055.36704
[12] Probability Theory, Sec. Ed., Van Nostrand, 1960. | MR 123342 | Zbl 0095.12201
[13] Characteristic Functions. Griffin, 1960. | MR 124075 | Zbl 0087.33605
[14] On the Equidistribution of Sums of Independent Random Variables. Proc. Amer. Math. Soc. 4 (1953), 786-799. | MR 56869 | Zbl 0053.26704
[15] On the Law of Large Numbers for Markov Processes. Theory of Prob. and its Appl. VIII (1963), 208-212. | Zbl 0127.35501
and [16] Limit Theorems for Random Walks I. Theory of Prob. and its Appl. X (1965), 596-606; II, id. XI (1966), 46-57. | MR 196794 | Zbl 0202.47403
[17] Principles of Random Walk. Van Nostrand, 1964. | MR 171290 | Zbl 0119.34304
[18] On Shifting Iterated Convolutions I. Compos. Math. 17 (1967), 268-280. | Numdam | MR 207019 | Zbl 0214.43704
[19] Introduction to the Theory of Queues. Oxford Univ. Press, N.Y., 1962. | MR 133880 | Zbl 0106.33502