Renewal theorem for a system of renewal equations

Benoîte de Saporta

Annales de l'I.H.P. Probabilités et statistiques (2003)

  • Volume: 39, Issue: 5, page 823-838
  • ISSN: 0246-0203

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de Saporta, Benoîte. "Renewal theorem for a system of renewal equations." Annales de l'I.H.P. Probabilités et statistiques 39.5 (2003): 823-838. <http://eudml.org/doc/77782>.

@article{deSaporta2003,
author = {de Saporta, Benoîte},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {renewal theory; Perron Frobenius root; potential theory},
language = {eng},
number = {5},
pages = {823-838},
publisher = {Elsevier},
title = {Renewal theorem for a system of renewal equations},
url = {http://eudml.org/doc/77782},
volume = {39},
year = {2003},
}

TY - JOUR
AU - de Saporta, Benoîte
TI - Renewal theorem for a system of renewal equations
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2003
PB - Elsevier
VL - 39
IS - 5
SP - 823
EP - 838
LA - eng
KW - renewal theory; Perron Frobenius root; potential theory
UR - http://eudml.org/doc/77782
ER -

References

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  1. [1] K Athreya, K.R Murthy, Feller's renewal theorem for systems of renewal equations, J. Indian Inst. Sci.58 (1976) 437-459. Zbl0356.60057MR436366
  2. [2] K Crump, On systems of renewal equations, J. Math. Anal. Appl.30 (1970) 425-434. Zbl0198.22502MR257678
  3. [3] C Dellacherie, P Meyer, Probabilités et potentiel, théorie discrète du potentiel, Hermann, Paris, 1983. Zbl0526.60001
  4. [4] N Engibaryan, Renewal theorems for a system of integral equations, Sb. Math.189 (1998) 1795-1808. Zbl0932.45005MR1686012
  5. [5] W Feller, Introduction to Probability Theory and its Applications, Vol. 2, Wiley, New York, 1966. Zbl0138.10207MR210154
  6. [6] R Horn, C Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985. Zbl0576.15001MR832183
  7. [7] Z.B Tsalyuk, The structure of the resolvent of a system of renewal equations with a difference kernel, Russian Math. (Iz. VUZ)45 (2001) 68-76. Zbl1004.45004MR1858513

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