Geodesic
On the rate of convergence of a renewal density
Sbornik. Mathematics, Tome 27 (1975) no. 1, pp. 131-142 
A. M. Zubkov. On the rate of convergence of a renewal density. Sbornik. Mathematics, Tome 27 (1975) no. 1, pp. 131-142. http://geodesic.mathdoc.fr/item/SM_1975_27_1_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Explicit bounds on the rate of convergence of a renewal density are obtained. Bibliography: 8 titles.

[1] W. L. Smith, “Asymptotic renewal theorems”, Proc. Roy. Soc. Edinburgh, A 64 (1953–1954), 9–48 | MR

[2] W. L. Smith, “Extensions of a renewal theorem”, Proc. Cambridge Phil. Soc., 51:4 (1955), 629–638 | DOI | MR | Zbl

[3] W. L. Smith, “On necessary and sufficient conditions for the convergence of the renewal density”, Trans. Amer. Math. Soc., 104:1 (1962), 79–100 | DOI | MR | Zbl

[4] D. Blackwell, “Extensions of a renewal theorem”, Pacific J. Math., 3:2 (1953), 315–320 | MR | Zbl

[5] W. L. Smith, “Infinitesimal renewal processes”, Contributions to Probability and Statistics, Stanford Univ. Press, 1960, 396–413 | MR | Zbl

[6] D. V. Widder, The Laplace transform, Princeton Univ. Press, 1941 | MR | Zbl

[7] V. Feller, Vvedenie v teoriyu veroyatnostei i ee prilozheniya, t. II, izd-vo «Mir», Moskva, 1967

[8] A. M. Zubkov, “Dostatochnye usloviya skhodimosti posledovatelnosti sluchainykh potokov k ordinarnomu puassonovskomu potoku”, Teoriya massovogo obsluzhivaniya, Trudy III Vsesoyuznoi shkoly-soveschaniya po teorii massovogo obsluzhivaniya, izd-vo MGU, Moskva, 1975