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On the Exponential Ergodicity of (2+2)-Affine Processes in Total Variation Distances

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  • Shukai Chen

    (Fujian Normal University)

Abstract

We prove an estimate for the variations of transition probabilities of the (2+2)-affine process. From this estimate we deduce the exponential ergodic properties in the total variation distance of the process. The key strategy is the approach of a coupling of the affine process and a coupling of two-type CBI-processes established by stochastic equations.

Suggested Citation

  • Shukai Chen, 2023. "On the Exponential Ergodicity of (2+2)-Affine Processes in Total Variation Distances," Journal of Theoretical Probability, Springer, vol. 36(1), pages 315-330, March.
    • Handle: RePEc:spr:jotpro:v:36:y:2023:i:1:d:10.1007_s10959-022-01173-1
    DOI: 10.1007/s10959-022-01173-1
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    References listed on IDEAS

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