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Rates of weak convergence for images of measures by families of mappings


  • Mas, André


Suppose [mu]n is a sequence of measures on a separable metric space converging weakly to [mu] with rate [pi]n (in the Prohorov metric). We find a new rate of convergence of [mu]nf-1 to [mu]f-1, where f belongs to a wide class of functions between two Banach spaces.

Suggested Citation

  • Mas, André, 2002. "Rates of weak convergence for images of measures by families of mappings," Statistics & Probability Letters, Elsevier, vol. 56(1), pages 7-12, January.
  • Handle: RePEc:eee:stapro:v:56:y:2002:i:1:p:7-12

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    References listed on IDEAS

    1. Balaji, S. & Meyn, S. P., 2000. "Multiplicative ergodicity and large deviations for an irreducible Markov chain," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 123-144, November.
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