# Central limit theorem for bifurcating Markov chains: the mother-daughters triangles case

@inproceedings{Penda2022CentralLT, title={Central limit theorem for bifurcating Markov chains: the mother-daughters triangles case}, author={Sim'eon Valere Bitseki Penda}, year={2022} }

. The main objective of this article is to establish a central limit theorem for additive three-variable functionals of bifurcating Markov chains. We thus extend the central limit theorem under point-wise ergodic conditions studied in Bitseki-Delmas (2022) and to a lesser extent, the results of Bitseki-Delmas (2022) on central limit theorem under L 2 ergodic conditions. Our results also extend and complement those of Guyon (2007) and Delmas and Marsalle (2010). In particular, when the ergodic…

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