Exponential inequalities for dynamical measures of expanding maps of the interval

55 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Annealed and quenched limit theorems for random expanding dynamical systems (2013, methodology): “They were introduced in dynamical systems by Collet, Martinez and Schmitt [23] who prove an exponential inequality for uniformly piecewise expanding maps of the interval.”
New dependence coefficients. Examples and applications to statistics (2005, methodology): “Then, using recent results of Rio (1996, 2000b), Collet et al. (2002) and Dedecker and Prieur (2003), we obtain a Berry-Esseen bound, a concentration inequality for Lipschitz functions, and a functional law of the iterated logarithm for partial sums.”