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- W2885873979 abstract "Motivated by cellular division modeling, this chapter considers the issue of statistical estimation of the jump rate of certain piecewise-deterministic Markov process (PDMP) models spanned by binary trees. These models admit several representations, via continuous time branching processes, or discrete time bifurcating Markov chains (MCs). They can even be explored by means of deterministic evolution equations with transport and fragmentation. The jump rate is triggered by either age or size, and the corresponding statistical models exhibit several interesting features according to the associated observation schemes, in discrete or continuous time. The chapter provides the minimax rates of convergence over Holder smoothness classes and raise the issues of adaptation and the inherent difficulties, whether the observation is continuous or discrete, and when the jump rate depends on the age or size of the model. It shows the outcome of genealogical tree observed for size and age-dependent division rates." @default.
- W2885873979 created "2018-08-22" @default.
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- W2885873979 date "2018-08-06" @default.
- W2885873979 modified "2023-10-12" @default.
- W2885873979 title "Statistical Analysis for Structured Models on Trees" @default.
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- W2885873979 doi "https://doi.org/10.1002/9781119507338.ch1" @default.
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