Random Numbers. Sequences Based On Linear Feedback

Name: Random Numbers. Sequences Based On Linear Feedback
Brand: Grin Publishing
SKU: 9783668014572
Price: 230.76 RON
Availability: InStock

Autor: Christian Mößlacher

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Editura: Grin Publishing

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Diploma Thesis from the year 2012 in the subject Mathematics - Stochastics, grade: 2, Klagenfurt Uni...

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Autor

Christian Mößlacher

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2015

Pagini

134

EAN

9783668014572

ISBN

3668014574

Enbook ID

09526627

Editura

Grin Publishing

Greutate

181

Dimensiuni

148 x 210 x 8

Descriere completă

Diploma Thesis from the year 2012 in the subject Mathematics - Stochastics, grade: 2, Klagenfurt University (Institut für Statistik), language: English, abstract: 7 is definately not a random number. In fact, we would probably say that the sequence 7, 2, 13, 9, 5, 8, ... is random. Within mathematics a sequence of random numbers should not display a pattern or show any form of regularity. Sequences of random numbers are generated by an algorithm that determines a succeeding number using one or more given§numbers. Numbers yielded by an algorithm are called pseudo-random numbers which can be denoted mathematically. Multidimensional equidistribution and a large period are important properties required from a sequence in order to acknowledge it as random numbers. The algorithms to produce random numbers can be roughly grouped into two families§- congruential generators and generators based on feedback shift registers (FSR). We will focus on the latter family. An FSR-based generator can be described by a characteristic§polynomial which has to be primitive in order to ensure the best quality with respect to randomness. Often sparse polynomials are used to reduce computing costs. The algorithms used produce random sequences that might have some deficiencies. However, the quality of randomness can be improved by several measurements; as are modifying the feedback, filtering the output sequences or combining two or more generators.

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Random Numbers. Sequences Based On Linear Feedback

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