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- W4250760648 abstract "In this chapter the authors decided to give all the relevant mathematical concepts, fix the notation and review the main results which have applied throughout. It covers the topics such as random variables and probability theory, characteristic function, its properties and the Fourier transform, fundamentals of diffusion processes, jump-diffusion processes and Lévy processes. The chapter provides a brief introduction to probability theory and review important facts and theorems. It considers important results on random variables which we apply for Monte Carlo simulation, and consider some necessary machinery for applying numerical methods to stochastic processes. The chapter reviews the basics on complex numbers and complex analysis. It considers the characteristic function of a random variable and show the close connection to the Fourier transform." @default.
- W4250760648 created "2022-05-12" @default.
- W4250760648 date "2012-09-21" @default.
- W4250760648 modified "2023-09-24" @default.
- W4250760648 title "Math Fundamentals" @default.
- W4250760648 doi "https://doi.org/10.1002/9781118818565.ch13" @default.
- W4250760648 hasPublicationYear "2012" @default.
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