Local limit theorems for transition densities of Markov chains converging to diffusions

We consider triangular arrays of Markov chains that converge weakly to a diffusion process. Local limit theorems for transition densities are proved.

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Bibliographic Details
Main Authors: Konakov, Valentin (Author) , Mammen, Enno (Author)
Format: Article (Journal)
Language:English
Published: 14 June 2000
In: Probability theory and related fields
Year: 2000, Volume: 117, Issue: 4, Pages: 551-587
ISSN:1432-2064
DOI:10.1007/PL00008735
Online Access:Verlag, Volltext: http://dx.doi.org/10.1007/PL00008735
Verlag, Volltext: https://link.springer.com/article/10.1007/PL00008735
Verlag, Volltext: https://link.springer.com/content/pdf/10.1007%2FPL00008735.pdf
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Author Notes:Valentin Konakov, Enno Mammen
Description
Summary:We consider triangular arrays of Markov chains that converge weakly to a diffusion process. Local limit theorems for transition densities are proved.
Item Description:Gesehen am 13.02.2018
Physical Description:Online Resource
ISSN:1432-2064
DOI:10.1007/PL00008735