Literature cited
A. G. Postnikov, “Tauberian theory and its applications,” Trudy MIAN SSSR,144 (1979).
V. V. Kalashnikov, “A uniform rate of convergence estimate in the discrete-time renewal theorem,” Teor. Veroyatn. Primen.,22, No. 1, 339–403 (1977).
W. Feller, An Introduction to Probability Theory and Its Applications [Russian translation], Vol. 1, Mir, Moscow (1984).
Additional information
Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 121–126, 1985.
In conclusion, I would like to acknowledge the useful comments of Profs. I. Katai and V. V. Kalashnikov, which greatly improved this article.
Rights and permissions
About this article
Cite this article
Seidl', L. Rate of convergence estimate in the renewal theorem for the discrete transient case. J Math Sci 40, 548–552 (1988). https://doi.org/10.1007/BF01083653
Issue Date:
DOI: https://doi.org/10.1007/BF01083653