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Title: Renewal theorems for random walks in multidimensional time (English)
Author: Abay, Abera
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 49
Issue: 3
Year: 1999
Pages: 371-380
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Category: math
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MSC: 60K05
idZBL: Zbl 0965.60084
idMR: MR1728247
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Date available: 2009-09-25T11:39:06Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130111
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Reference: [1] FELLER W.: An Introduction to Probability Theory and its Applications II.(2nd ed.), John Wiley & Sons Inc, New York, 1971.
Reference: [2] GALAMBOS J.-INDLEKOFER K. H., KATAI I.: A renewal theorem for random walks in multidimensional time.Trans. Amer. Math. Soc. 300 (1987), 759-769. Zbl 0622.60101, MR 0876477
Reference: [3] GALAMBOS J.-KATAI I.: A note on random walks in multidimensional time.Math. Proc. Cambridge Philos. Soc 99 (1986), 163-170. Zbl 0562.60094, MR 0809511
Reference: [4] GALAMBOS J.-KATAI I.: Some remarks on random walks in multidimensional time.In: Proc 5th Pannonian Sympos. on Math. Statistics, Visegrad, Hungary 1985, (J. Mogyorodi et al., eds.), Reidel, Dordrecht, 1986, pp. 65-74. MR 0956685
Reference: [5] GUT A.: Stopped Random Walks.Limit Theorems and Applications, Springer-Verlag, New York, 1988. Zbl 0634.60061, MR 0916870
Reference: [6] HARDY G. H.-WRIGHT E. M.: An Introduction to the Theory of Numbers.(4th ed.), Oxford University Press, Oxford, 1960. Zbl 0086.25803
Reference: [7] MAEJIMA M.-MORI T.: Some renewal theorems for random walks in multidimensional time.Math. Proc. Cambridge Philos. Soc. 95 (1984), 149-154. Zbl 0535.60079, MR 0727089
Reference: [8] NEY P.-WAINGER S.: The renewal theorem for a random walk in two dimensional time.Studia Math. 46 (1972), 71-85. Zbl 0239.60077, MR 0322978
Reference: [9] SENETA E.: Regularly Varying Functions.Lecture Notes in Math. 508, Springer-Verlag, Berlin, 1976. Zbl 0324.26002, MR 0453936
Reference: [10] TITCHMARSH E. C.: The Theory of the Riemann Zeta Function.(2nd ed.), Clarendon Press, Oxford, 1986. Zbl 0601.10026, MR 0882550
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