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- W3121236491 abstract "The ever-growing appearance of infinitely divisible laws and related processes in various areas, such as physics, mathematical biology, finance and economics, has fuelled an increasing demand for numerical methods of sampling and sample path generation. In this survey, we review shot noise representation with a view towards sampling infinitely divisible laws and generating sample paths of related processes. In contrast to many conventional methods, the shot noise approach remains practical even in the multidimensional setting. We provide a brief introduction to shot noise representations of infinitely divisible laws and related processes, and discuss the truncation of such series representations towards the simulation of infinitely divisible random vectors, L'evy processes, infinitely divisible processes and fields and L'evy-driven stochastic differential equations. Essential notions and results towards practical implementation are outlined, and summaries of simulation recipes are provided throughout along with numerical illustrations. Some future research directions are highlighted." @default.
- W3121236491 created "2021-02-01" @default.
- W3121236491 creator A5031422954 @default.
- W3121236491 creator A5061114474 @default.
- W3121236491 date "2021-01-01" @default.
- W3121236491 modified "2023-10-17" @default.
- W3121236491 title "Numerical aspects of shot noise representation of infinitely divisible laws and related processes" @default.
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