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Moderate deviation principles for kernel estimator of invariant density in bifurcating Markov chains. Stoch Process Their Appl 2023. [DOI: 10.1016/j.spa.2023.01.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
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Bitseki Penda SV, Delmas JF. Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions. ANN APPL PROBAB 2022. [DOI: 10.1214/21-aap1774] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Bitseki Penda SV, Roche A. Local bandwidth selection for kernel density estimation in a bifurcating Markov chain model. J Nonparametr Stat 2020. [DOI: 10.1080/10485252.2020.1789125] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- S. Valère Bitseki Penda
- Institut de Mathématiques de Bourgogne, UMR 5584, CNRS, Université de Bourgogne Franche- Comté, Dijon, France
| | - Angelina Roche
- CEREMADE, CNRS-UMR 7534, Université Paris-Dauphine, Paris Cedex 16, France
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Bitseki Penda SV, Olivier A. Moderate deviation principle in nonlinear bifurcating autoregressive models. Stat Probab Lett 2018. [DOI: 10.1016/j.spl.2018.02.037] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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