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Subject
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Concentration inequality 1 Ergodic diffusion processes 1 Geometric ergodicity 1 Markov chains 1 Rényi entropy 1 Shannon entropy 1 Song measure 1 Tail distribution 1 Upper exponential bound 1 ergodic diffusion processes 1 invariant law 1
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Online availability
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Free 1 Undetermined 1
Type of publication
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Article 1 Book / Working Paper 1
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Undetermined 2
Author
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Galtchouk, L. 1 Gregorio, Alessandro De 1 Iacus, Stefano 1 Pergamenshchikov, S. 1
Institution
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Dipartimento di Economia, Management e Metodi Quantitativi (DEMM), Università degli Studi di Milano 1
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Stochastic Processes and their Applications 1 UNIMI - Research Papers in Economics, Business, and Statistics 1
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RePEc 2
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Rényi information for ergodic diffusion processes
Gregorio, Alessandro De; Iacus, Stefano - Dipartimento di Economia, Management e Metodi … - 2007
invariant density of one dimensional ergodic diffusion processes. In particular, the diffusion models considered include the …
Persistent link: https://www.econbiz.de/10009324464
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Uniform concentration inequality for ergodic diffusion processes observed at discrete times
Galtchouk, L.; Pergamenshchikov, S. - In: Stochastic Processes and their Applications 123 (2013) 1, pp. 91-109
In this paper a concentration inequality is proved for the deviation in the ergodic theorem for diffusion processes in the case of discrete time observations. The proof is based on geometric ergodicity of diffusion processes. We consider as an application the nonparametric pointwise estimation...
Persistent link: https://www.econbiz.de/10010591887
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