Doney, Ron Erratum to: “The remainder in the renewal theorem”. (English) Zbl 1481.60185 Electron. Commun. Probab. 27, Paper No. 17, 5 p. (2022). Summary: We point out an error in our paper [ibid. 25, Paper No. 5, 8 p. (2020; Zbl 1434.60251)], and show that the result is essentially correct in two important special cases. Cited in 1 Document MSC: 60K05 Renewal theory 60G50 Sums of independent random variables; random walks Keywords:asymtotic stability; random walks; regular variation; renewal theorem Citations:Zbl 1434.60251 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Ron Doney. The remainder in the renewal theorem. Electron. Commun. Probab. 25 (2020), no. 5,1-8. · Zbl 1434.60251 [2] Yasuko Isozaki. Fractional order error estimates for the renewal density. J. Math.Soc. Japan 68 (2016) no. 1, 31-49. · Zbl 1338.60216 [3] Pitman, E. J. G. On the behaviour of the characteristic function of a probability distribution in the neighbourhood of the origin. J. Aust. Math. Soc. A 8 (1968), 422-443. · Zbl 0164.48502 [4] Rogozin, B. A. An estimate of the remainder term in limit theorems of renewal theory. Theory Probab. Appl. XVIII (1973) no. 4, 662-677. · Zbl 0323.60082 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.