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A class of CTRWs: Compound fractional Poisson processes
The compound Poisson process Markovian and L\'evy semi-Markov extension
2011/3/31
This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. The chapter begins with the characterization of a well-known L\'evy process: The compound Poisson ...
Segmentation algorithm for non-stationary compound Poisson processes
Segmentation algorithm non-stationary compound Poisson processes
2010/10/18
We introduce an algorithm for the segmentation of a class of regime switching processes. The segmentation algorithm is a non parametric statistical method able to identify the regimes (patches) of th...
Martingale representation for Poisson processes with applications to minimal variance hedging
Martingale representation Poisson processes applications minimal variance hedging
2010/10/18
We consider a Poisson process $\eta$ on a measurable space $(\BY,\mathcal{Y})$ equipped with a partial ordering, assumed to be strict almost everwhwere with respect to the intensity measure $\lambda$...