Error estimates in D -dimensional renewal theory

Hasse Carlsson

Compositio Mathematica (1982)

  • Volume: 46, Issue: 2, page 227-253
  • ISSN: 0010-437X

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Carlsson, Hasse. "Error estimates in $D$-dimensional renewal theory." Compositio Mathematica 46.2 (1982): 227-253. <http://eudml.org/doc/89552>.

@article{Carlsson1982,
author = {Carlsson, Hasse},
journal = {Compositio Mathematica},
keywords = {order of convergence; local limit theorems},
language = {eng},
number = {2},
pages = {227-253},
publisher = {Martinus Nijhoff Publishers},
title = {Error estimates in $D$-dimensional renewal theory},
url = {http://eudml.org/doc/89552},
volume = {46},
year = {1982},
}

TY - JOUR
AU - Carlsson, Hasse
TI - Error estimates in $D$-dimensional renewal theory
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 46
IS - 2
SP - 227
EP - 253
LA - eng
KW - order of convergence; local limit theorems
UR - http://eudml.org/doc/89552
ER -

References

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  1. [1] R.A. Doney: An analoque of the renewal theorem in higher dimensions. Proc. London Math. Soc. (1966) 669-684. Zbl0147.16301MR203826
  2. [2] W. Feller: An introduction to probability theory and its applications. Vol. 2, 2nd ed., Wiley, New York, 1971. Zbl0039.13201
  3. [3] I.M. Gelfand and G.E. Shilov: Generalized functions. Vol. 1, Academic Press, New York, 1964. Zbl0115.33101
  4. [4] A.V. Nagaev: Renewal theory in Rd. Theory Prob. Applications24 (1979) 572-581. Zbl0435.60085MR541368
  5. [5] B.A. Rogozin: Asymptotics of renewal functions. Theory Prob. Applications21 (1976) 669-686. Zbl0367.60102MR420900
  6. [6] L. Schwartz: Théorie des distributions. 2nd ed., Hermann, Paris, 1966. Zbl0149.09501MR209834
  7. [7] A.J. Stam: Renewal theory in r dimensions (I). Compositio Math.21 (1969) 383-399. Zbl0192.54601MR261714
  8. [8] A.J. Stam: Renewal theory in r dimensions (II). Compositio Math.23 (1971) 1-13. Zbl0208.44302MR281276

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