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Robustness of some non-uniform random variate generators
Authors:LY Deng  RS Chhikara
Institution:Department of Mathematical Sciences Memphis State University Memphis TN 38152 USA;Department of Mathematical Sciences University of Houston-Clear Lake Houston TX 77058 U.S.A
Abstract:Often the usefulness of a random variate generator for a distribution is based on the successful generation of independent variates from the uniform distribution. However, no pseudo-random number generator is capable of generating a truly random uniform sequence. As the cost of computations is now dramatically reduced, the computational efficiency should not be the primary criterion in choosing a good generator. Proposed here is a robustness criterion which is designed to study the effect of an imperfect pseudo-random number generator on the accuracy of a random variate generator. In particular, the beta and binomial variate generators are examined for their robustness to the non-uniformity of a pseudo-random number generator.
Keywords:efficiency  inverse c  d  f  method  order statistics  pseudo-random numbers
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