Correction: Subgeometric rates of convergence for Markov processes under subordination (Advances in Applied Probability (2017) 49 (162-181) DOI: 10.1017/apr.2016.83)

Publikation: Spezielle Publikationen/BeiträgeKorrekturen (Errata und Widerrufe)Begutachtung

Beitragende

Abstract

In the above paper we made an unfortunate error in the application of Bernoulli's inequality in the proof of Lemma A.2 (p. 179). The results of our paper are not affected, but part of the proof has to be slightly changed. First, we need to replace Lemma A.2. {equation presented} This gives the lower bound in Theorem 2.1(iii)(b) since E[(1 + S1)-γ] ∈ (0, 1]. We are deeply apologetic for this error. Incidentally, proves (∗∗) for all t > 0, and not only for t ∈ (0, 1). Thus, this correction already proves and simplifies the whole argument from page 173 (line 9 from below) to page 174 (line 6 from above).

Details

OriginalspracheEnglisch
Seiten1005
Seitenumfang1
Band50
Ausgabenummer3
FachzeitschriftAdvances in Applied Probability
PublikationsstatusVeröffentlicht - 1 Sept. 2018
Peer-Review-StatusJa
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