  In this paper, new conditions for the stability of V-geometrically ergodic
Markov chains are introduced. The results are based on an extension of the
standard perturbation theory formulated by Keller and Liverani. The continuity
and higher regularity properties are investigated. As an illustration, an
asymptotic expansion of the invariant probability measure for an autoregressive
model with i.i.d. noises (with a non-standard probability density function) is
obtained.
