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Maximum likelihood estimator consistency for recurrent random walk in a parametric random environment with finite support

Francis Comets, Mikael Falconnet, Oleg Loukianov and Dasha Loukianova
Stochastic Processes and their Applications 126 (11) 3578 (2016)
DOI: 10.1016/j.spa.2016.04.034
See this article

Non parametric estimation for random walks in random environment

Roland Diel and Matthieu Lerasle
Stochastic Processes and their Applications (2017)
DOI: 10.1016/j.spa.2017.04.011
See this article