## One-sided error estimates in renewal theory.(English)Zbl 0187.41201

### MSC:

 60K05 Renewal theory

### Keywords:

renewal measure; random walks; convergence rates
Full Text:

### References:

 [1] A. A. Borovkov, Remarks on Wiener’s and Blackwell’s theorems,Theory of Probability,9 (1964), 303–312. · Zbl 0168.38405 [2] W. L. Smith, A theorem on functions of characteristic functions and its application to some renewal theoretic random walk problems,Proc. 5th Berkeley Symp. on Prob. and Stat., to appear. · Zbl 0209.49301 [3] C. J. Stone, On characteristic functions and renewal theory,Trans. Amer. Math. Soc.,120 (1965), 327–342. · Zbl 0133.40504 [4] C. J. Stone, On moment generating functions and renewal theory,Annals of Math. Stat.,36 (1965), 1298–1301. · Zbl 0135.18903 [5] C. J. Stone, On absolutely continuous components and renewal theory,Annals of Math. Stat.,37 (1966), 271–275. · Zbl 0147.16205
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