Laws of large numbers for functions of random walks with positive drift

A. J. Stam

Compositio Mathematica (1968)

  • Volume: 19, Issue: 4, page 299-333
  • ISSN: 0010-437X

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Stam, A. J.. "Laws of large numbers for functions of random walks with positive drift." Compositio Mathematica 19.4 (1968): 299-333. <http://eudml.org/doc/88967>.

@article{Stam1968,
author = {Stam, A. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {4},
pages = {299-333},
publisher = {Wolters-Noordhoff Publishing},
title = {Laws of large numbers for functions of random walks with positive drift},
url = {http://eudml.org/doc/88967},
volume = {19},
year = {1968},
}

TY - JOUR
AU - Stam, A. J.
TI - Laws of large numbers for functions of random walks with positive drift
JO - Compositio Mathematica
PY - 1968
PB - Wolters-Noordhoff Publishing
VL - 19
IS - 4
SP - 299
EP - 333
LA - eng
UR - http://eudml.org/doc/88967
ER -

References

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  10. T.E. Harris and H. Robbins [10] Ergodic Theory of Markov Chains Admitting an Infinite Invariant Measure. Proc. Nat. Ac. of Sc. U.S.A.39 (1953), 860—864. Zbl0051.10503
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  14. H. Robbins [14] On the Equidistribution of Sums of Independent Random Variables. Proc. Amer. Math. Soc.4 (1953), 786—799. Zbl0053.26704
  15. M.G. Shur [15] On the Law of Large Numbers for Markov Processes. Theory of Prob. and its Appl.VIII (1963), 208-212. Zbl0127.35501
  16. A.V. Skorokhod and N.P. Slobodenyuk [16] Limit Theorems for Random WalksI. Theory of Prob. and its Appl.X (1965), 596-606; II, id. XI (1966), 46-57. Zbl0202.47403
  17. F. Spitzer [17] Principles of Random Walk. Van Nostrand, 1964. Zbl0119.34304MR171290
  18. A.J. Stam [18] On Shifting Iterated Convolutions I. Compos. Math.17 (1967), 268-280. Zbl0214.43704MR207019
  19. L. Takács [19] Introduction to the Theory of Queues. Oxford Univ. Press, N.Y., 1962. Zbl0106.33502MR133880

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