Bitseki Penda, S. Valère; Gackou, Gorgui Moderate deviation principles for bifurcating Markov chains: case of functions dependent of one variable. (English) Zbl 1494.60028 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 617-640 (2022). MSC: 60F10 60J80 PDFBibTeX XMLCite \textit{S. V. Bitseki Penda} and \textit{G. Gackou}, ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 617--640 (2022; Zbl 1494.60028) Full Text: arXiv Link
Bitseki Penda, S. Valère; Olivier, Adélaïde Moderate deviation principle in nonlinear bifurcating autoregressive models. (English) Zbl 1392.62088 Stat. Probab. Lett. 138, 20-26 (2018). MSC: 62G05 60F10 60J80 62M10 PDFBibTeX XMLCite \textit{S. V. Bitseki Penda} and \textit{A. Olivier}, Stat. Probab. Lett. 138, 20--26 (2018; Zbl 1392.62088) Full Text: DOI HAL
Bitseki Penda, S. Valère; Djellout, Hacène; Dumaz, Laure; Merlevède, Florence; Proïa, Frédéric Moderate deviations of functional of Markov processes. (English) Zbl 1333.60065 ESAIM, Proc. 44, 214-238 (2014). MSC: 60F99 60F10 60J05 PDFBibTeX XMLCite \textit{S. V. Bitseki Penda} et al., ESAIM, Proc. 44, 214--238 (2014; Zbl 1333.60065) Full Text: DOI
Bitseki Penda, S. Valère; Djellout, Hacène; Proïa, Frédéric Moderate deviations for the Durbin-Watson statistic related to the first-order autoregressive process. (English) Zbl 1312.60034 ESAIM, Probab. Stat. 18, 308-331 (2014). MSC: 60F99 60F10 60G42 62M10 62G05 PDFBibTeX XMLCite \textit{S. V. Bitseki Penda} et al., ESAIM, Probab. Stat. 18, 308--331 (2014; Zbl 1312.60034) Full Text: DOI arXiv
Bitseki Penda, S. Valère; Djellout, Hacène; Guillin, Arnaud Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application. (English) Zbl 1293.60036 Ann. Appl. Probab. 24, No. 1, 235-291 (2014). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F10 60F05 60F15 60E15 60G42 60J05 62M02 62M05 62P10 PDFBibTeX XMLCite \textit{S. V. Bitseki Penda} et al., Ann. Appl. Probab. 24, No. 1, 235--291 (2014; Zbl 1293.60036) Full Text: DOI arXiv Euclid