Parametric Stochastic Differential Equations

Part of the Lecture Notes in Mathematics book series (LNM, volume 1923)

Stochastic differential equations (SDEs) are a natural choice to model the time evolution of dynamic systems which are subject to random influences (cf. Arnold (1974), Van Kampen (1981)). For example, in physics the dynamics of ions in superionic conductors are modelled via Langevin equations (cf. Dieterich et al. (1980)), and in engineering the dynamics of mechanical devices are described by differential equations under the influence of process noise as errors of measurement (cf. Gelb (1974)). Other applications are in biology (cf. Jennrich and Bright (1976)), medicine (cf. Jones (1984)), econometrics (cf. Bergstrom (1976, 1988)), finance (cf. Black and Scholes (1973)), geophysics (cf. Arato (1982)) and oceanography (cf. Adler et al. (1996)).


Asymptotic Normality Parametric Stochastic Drift Parameter Discrete Observation Approximate Likelihood 
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© Springer-Verlag Berlin Heidelberg 2008

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