Renewal theorems for random walks in multidimensional time

Abera Abay

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 3, page 371-380
  • ISSN: 0232-0525

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Abay, Abera. "Renewal theorems for random walks in multidimensional time." Mathematica Slovaca 49.3 (1999): 371-380. <http://eudml.org/doc/31931>.

@article{Abay1999,
author = {Abay, Abera},
journal = {Mathematica Slovaca},
keywords = {random walk; multidimensional time; renewal theorem; slowly varying function},
language = {eng},
number = {3},
pages = {371-380},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Renewal theorems for random walks in multidimensional time},
url = {http://eudml.org/doc/31931},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Abay, Abera
TI - Renewal theorems for random walks in multidimensional time
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 3
SP - 371
EP - 380
LA - eng
KW - random walk; multidimensional time; renewal theorem; slowly varying function
UR - http://eudml.org/doc/31931
ER -

References

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  1. FELLER W., An Introduction to Probability Theory and its Applications II, (2nd ed.), John Wiley & Sons Inc, New York, 1971. (1971) 
  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. (1987) Zbl0622.60101MR0876477
  3. GALAMBOS J.-KATAI I., A note on random walks in multidimensional time, Math. Proc. Cambridge Philos. Soc 99 (1986), 163-170. (1986) Zbl0562.60094MR0809511
  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. (1985) MR0956685
  5. GUT A., Stopped Random Walks, Limit Theorems and Applications, Springer-Verlag, New York, 1988. (1988) Zbl0634.60061MR0916870
  6. HARDY G. H.-WRIGHT E. M., An Introduction to the Theory of Numbers, (4th ed.), Oxford University Press, Oxford, 1960. (1960) Zbl0086.25803
  7. MAEJIMA M.-MORI T., Some renewal theorems for random walks in multidimensional time, Math. Proc. Cambridge Philos. Soc. 95 (1984), 149-154. (1984) Zbl0535.60079MR0727089
  8. NEY P.-WAINGER S., The renewal theorem for a random walk in two dimensional time, Studia Math. 46 (1972), 71-85. (1972) Zbl0239.60077MR0322978
  9. SENETA E., Regularly Varying Functions, Lecture Notes in Math. 508, Springer-Verlag, Berlin, 1976. (1976) Zbl0324.26002MR0453936
  10. TITCHMARSH E. C., The Theory of the Riemann Zeta Function, (2nd ed.), Clarendon Press, Oxford, 1986. (1986) Zbl0601.10026MR0882550

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