Transcription of Chapter 3 Pseudo-random numbers generators
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Chapter 3 Pseudo-random numbers Basics of Pseudo-random numbers generatorsMost Monte Carlo simulations do not use true randomness. It is not so easy to generate trulyrandom numbers . Instead, Pseudo-random numbers are usually used. The goal of this chapteris to provide a basic understanding of how Pseudo-random number generators work, provide afew examples and study how one can empirically test such generators . The goal here is not tolearn how to write your own random number generator. I do not recommend writing yourown generator. I also do not recommend blindly using whatever generator comes in thesoftware package your are using. From now on we will refer to pseudo random numbergenerators simply as random number generators (RNG).The typical structure of a random number generator is as follows. There is a finite setSofstates, and a functionf:S S. There is an output spaceU, and an output functiong:S U.
own generator. I also do not recommend blindly using whatever generator comes in the software package your are using. From now on we will refer to pseudo random number generators simply as random number generators (RNG). The typical structure of a random number generator is as follows. There is a finite set S of states, and a function f : S → S.
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