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Selection History Models in a Population under Ongoing Directional Selection
Jansen AC, Calus MP, Wientjes YC.
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Fourier Analysis of Uniform Random Number Generators [PDF]
A method of analysis of uniform random number generators is developed, applicable to almost all practical methods of generation. The method is that of Fourier analysis of the output sequences of such generators. With this tool it is possible to understand and predict relevant statistical properties of such generators and compare and evaluate such ...
R. R. Coveyou, R. D. Macpherson
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Uniform Random Generation of Strings in a Context-Free Language
SIAM Journal on Computing, 1983Let S be the set of all strings of length n generated by a given context-free grammar. A uniform random generator is one which produces strings from S with equal probability. In generating these strings, care must be taken in choosing the disjuncts that form the right-hand side of a grammar rule so that the produced string will have the specified ...
Timothy J. Hickey, Jacques Cohen
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Uniform random number generation by using sparse matrix
2012 IEEE Information Theory Workshop, 2012We investigate the problem of (independent) uniform random number generation and secret key agreement. A generator for the (independent) uniform random numbers is constructed by using a sparse matrix and it is applied to a secret key agreement protocol with strong secrecy.
Jun Muramatsu, Shigeki Miyake
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Uniform Random Number Generators
Journal of the ACM, 1965Abstract : This paper discusses the testing of methods for generating uniform numbers in a computer--the commonly used multiplicative and mixed congruential generators as well as two methods. Tests proposed here are more stringent than those usually applied, because the usual tests for randomness have passed several of the commonly used pprocedures ...
M. Donald MacLaren, George Marsaglia
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Non-Uniform Random Variate Generation [PDF]
. This chapter provides a survey of the main methods in non-uniform random variate generation, and highlights recent research on the subject. Classical paradigms such as inversion, rejection, guide tables, and transformations are reviewed.
Luc Devroye, Devroye, Luc
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Non uniform random generation of generalized Motzkin paths
Acta Informatica, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. BRLEK, PERGOLA, ELISA, O. ROQUES
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Uniform random number generation
Annals of Operations Research, 1994This article provides a survey of pseudorandom number generators (i.e., deterministic recursive formulas from \(\{1, 2,\dots,m\}\) to \(\{1, 2,\dots,m\}\) for a given large prime number \(m\)) that attempt to produce a sequence (here, \(k/m\)) which approximates a sequence of truly independent random variables uniformly distributed over the interval \([
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