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Generating Random Numbers with Specified Distributions

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Abstract

For the simulation and valuation of finance instruments we require numbers with specified distributions. For example. in Section 1.6 we have used numbers Z that were drawn from a standard normal distribution, ZN(0, 1). If possible the numbers should be random. But the generation of “random numbers” by digital computers, after all, is done in a deterministic and entirely predictable way. If this point is to be stressed, one uses the term pseudorandom.

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  1. Since in our context the predictable origin is clear we omit the modifier “pseudo,” and hereafter use the term random number. Similarly we talk about randomness of these numbers when we mean apparent randomness.

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  2. f is zero outside S. In this section S is no asset price.

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© 2004 Springer-Verlag Berlin Heidelberg

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Seydel, R. (2004). Generating Random Numbers with Specified Distributions. In: Tools for Computational Finance. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22551-6_2

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  • DOI: https://doi.org/10.1007/978-3-662-22551-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40604-4

  • Online ISBN: 978-3-662-22551-6

  • eBook Packages: Springer Book Archive

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