Burton, Robert M.; Dehling, Herold Large deviations for some weakly dependent random processes. (English) Zbl 0699.60016 Stat. Probab. Lett. 9, No. 5, 397-401 (1990). The authors prove large deviation principles for two classes of weakly dependent processes, moving averages of i.i.d. random variables and Poisson center cluster random measures. After publication the authors have been informed that the result for moving averages is known [see J. Steinebach, Asymptotic Statistics 2, Proc. 3rd Prague Symp. 1983, Asymptotic Stat. 2, 405-415 (1984; Zbl 0568.60034), and K. Singh, J. Multivariate Anal. 11, 354-367 (1981; Zbl 0464.60027)]. Reviewer: H.Dehling Cited in 1 ReviewCited in 51 Documents MSC: 60F10 Large deviations Keywords:large deviation principles; weakly dependent processes Citations:Zbl 0568.60034; Zbl 0464.60027 PDF BibTeX XML Cite \textit{R. M. Burton} and \textit{H. Dehling}, Stat. Probab. Lett. 9, No. 5, 397--401 (1990; Zbl 0699.60016) Full Text: DOI OpenURL References: [1] Burton, R.M.; Waymire, E., Scaling limits for associated random measures, Ann. probab., 4, 1267-1278, (1985) · Zbl 0579.60039 [2] Denker, M., Large deviations and the pressure function, (1988), Preprint [3] Ellis, R.S., Entropy, large deviations and statistical mechanics, (1985), Springer New York · Zbl 0566.60097 [4] Kallenberg, O., () [5] Lebowitz, J.L.; Schonmann, R.H., Pseudo-free energies and large deviations for non-Gibbsian FKG measures, Probab. theory rel. fields, 77, 49-64, (1988) · Zbl 0617.60097 [6] Matthes, K.; Kerstan, J.; Mecke, J., Infinitely divisible point processes, (1978), Wiley New York · Zbl 0521.60056 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.