Ebook BookRandom and Quasi-Random Point Sets (Lecture Notes in Statistics)

[Free PDF.kKaU] Random and Quasi-Random Point Sets (Lecture Notes in Statistics)

[Free PDF.kKaU] Random and Quasi-Random Point Sets (Lecture Notes in Statistics)

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Book Details :
Published on: 2013-10-04
Released on: 1998-10-09
Original language:

This volume is a collection of survey papers on recent developments in the fields of quasi-Monte Carlo methods and uniform random number generation. We will cover a broad spectrum of questions, from advanced metric number theory to pricing financial derivatives. The Monte Carlo method is one of the most important tools of system modeling. Deterministic algorithms, so-called uniform random number gen­ erators, are used to produce the input for the model systems on computers. Such generators are assessed by theoretical ("a priori") and by empirical tests. In the a priori analysis, we study figures of merit that measure the uniformity of certain high-dimensional "random" point sets. The degree of uniformity is strongly related to the degree of correlations within the random numbers. The quasi-Monte Carlo approach aims at improving the rate of conver­ gence in the Monte Carlo method by number-theoretic techniques. It yields deterministic bounds for the approximation error. The main mathematical tool here are so-called low-discrepancy sequences. These "quasi-random" points are produced by deterministic algorithms and should be as "super"­ uniformly distributed as possible. Hence, both in uniform random number generation and in quasi-Monte Carlo methods, we study the uniformity of deterministically generated point sets in high dimensions. By a (common) abuse oflanguage, one speaks of random and quasi-random point sets. The central questions treated in this book are (i) how to generate, (ii) how to analyze, and (iii) how to apply such high-dimensional point sets. Frkortningar... - Ola A B C D E F G H I J K L M N O P Q R S T U V W X Y Z =-2D - 2-Dimensional 3ACC - 3A Central Control 3D - 3-Dimensional 3M - Minnesota Mining and Manufacturing Quasi-Monte Carlo Rendering with Adaptive Sampling Ryutarou Ohbuchi and Masaki Aono Tokyo Research Laboratory IBM Japan Ltd. 1623-14 Shimo-tsuruma Yamato-shi Kanagawa-ken 242 Japan ohbuchi@trl.ibm.co.jp and aono ... Prof. Ryutarou Ohbuchi's page - kki.yamanashi.ac.jp Ohbuchi Laboratory Graduate School of Engineering University of Yamanashi Yamanashi Japan Ryutarou Ohbuchi Professor Computer Science and ... Simone Severini's Homepage - University College London Publications. See arXiv MathSciNet MPRA PubMed and IRIS. Albert Atserias Laura Maninska David E. Roberson Robert mal Simone Severini Antonios ...
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