Renewal theory in dimensions (I)
Compositio Mathematica (1969)
- Volume: 21, Issue: 4, page 383-399
- ISSN: 0010-437X
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topStam, A. J.. "Renewal theory in $r$ dimensions (I)." Compositio Mathematica 21.4 (1969): 383-399. <http://eudml.org/doc/89030>.
@article{Stam1969,
author = {Stam, A. J.},
journal = {Compositio Mathematica},
keywords = {probability theory},
language = {eng},
number = {4},
pages = {383-399},
publisher = {Wolters-Noordhoff Publishing},
title = {Renewal theory in $r$ dimensions (I)},
url = {http://eudml.org/doc/89030},
volume = {21},
year = {1969},
}
TY - JOUR
AU - Stam, A. J.
TI - Renewal theory in $r$ dimensions (I)
JO - Compositio Mathematica
PY - 1969
PB - Wolters-Noordhoff Publishing
VL - 21
IS - 4
SP - 383
EP - 399
LA - eng
KW - probability theory
UR - http://eudml.org/doc/89030
ER -
References
top- L. Breiman [1] Probability, Addison-Wesley, 1968. Zbl0174.48801MR229267
- R.A. Doney [2] An Analogue of the Renewal Theorem in Higher Dimensions. Proc. London Math. Soc.16 (1966), 669-684. Zbl0147.16301MR203826
- G.H. Hardy [3] Divergent Series. Oxford1949. Zbl0032.05801MR30620
- J.N. Kalma [4] Report TW-68, Mathematisch Instituut, Universiteit Groningen.
- M. Loève [5] Probability Theory. Van Nostrand, 3rd ed. Zbl0108.14202MR123342
- W.L. Smith [6] On the weak law of large numbers and the generalized elementary renewal theorem. Pac. J. Math.22 (1967), 171—188. Zbl0155.24902
- F. Spitzer [7] Principles of Random Walk. Van Nostrand, 1964. Zbl0119.34304MR171290
- Ch. Stone [8] On moment generating functions and renewal theory. Ann. Math. Stat.36, (1965), 1298-1301. Zbl0135.18903MR179857
- W.L. Smith [9] A theorem on functions of characteristic functions and its application to some renewal theoretic random walk problems. Proc. 5th Berkeley Symp., II.2, 265-309. Univ. of Calif. Press, 1967. Zbl0209.49301MR216542
Citations in EuDML Documents
top- A. J. Stam, Renewal theory in dimensions II
- A. J. Stam, Local central limit theorem for first entrance of a random walk into a half space
- Hasse Carlsson, Stephen Wainger, An asymptotic series expansion of the multidimensional renewal measure
- Hasse Carlsson, Error estimates in -dimensional renewal theory
- M. Babillot, Théorie du renouvellement pour des chaînes semi-markoviennes transientes
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