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 |
. |
Category:
|
math |
. |
MSC:
|
60K05 |
idZBL:
|
Zbl 0965.60084 |
idMR:
|
MR1728247 |
. |
Date available:
|
2009-09-25T11:39:06Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130111 |
. |
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 |
. |