Maximum Likelihood Estimators for a Supercritical Branching Diffusion Process
نویسندگان
چکیده
The log-likelihood of a nonhomogeneous Branching Diffusion Process under several conditions assuring existence and uniqueness of the diffusion part and nonexplosion of the branching process. Expressions for different Fisher information measures are provided. Using the semimartingale structure of the process and its local characteristics, a Girsanov-type result is applied. Finally, an Ornstein-Uhlenbeck process with finite reproduction mean is studied. Simulation results are discussed showing consistency and asymptotic normality.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012