Pseudo-random numbers are often required for simulations performed on parallel computers. The requirements for parallel random number generators are more stringent than those for sequential random number generators. As well as passing the usual sequential tests on each processor, a parallel random number generator must give diierent, independent sequences on each processor. We consider the requ...

Matrix Exponential (ME) probability distributions form a versatile family of distributions and enable an accurate description and simulation of a wide variety of situations where a positive distribution is required. In queueing theory they are used for arrival and service processes. Random Number Generators (RNG) for ME’s are not commonly available. In this work, we create a new ME RNG by scali...

the objective of this study was to compare the accuracy of estimating and predicting breeding values using two diverse approaches, gblup and bayesc, using simulated data under different quantitative trait locus(qtl) effect distributions. data were simulated with three different distributions for the qtl effect which were uniform, normal and gamma (1.66, 0.4). the number of qtl was assumed to be...

Abstract: One may consider three types of statistical inference: Bayesian, frequentist, and group invariance-based. The focus here is on the last method. We consider the Poisson and binomial distributions in detail to illustrate a group invariance method for constructing inferred distributions on parameter spaces given observed results. These inferred distributions are obtained without using Ba...

SIMULATING DEPENDENT BINARY DATA WITH RANDOM EFFECTS. Aobo Wang, Roy T. Sabo, Department of Biostatistics, Virginia Commonwealth University, Richmond, Virginia 23298-0032. Dependent binary data can be simply simulated using the multinomial sampling method. We extend this method to simulate dependent binary data with clustered random effect structures. Several distributions are considered for co...

In low dimensions, the relatively easily implementable acceptance-rejection method for generating polyhedral convex contoured uniform distributions is compared to more sophisticated particular methods from the literature, and applied to drug combination studies. Based upon a stochastic representation, the method is extended to the general class of polyhedral convex contoured distributions of kn...

Aldous and Pitman (1994) studied asymptotic distributions as n!1, of various functionals of a uniform random mapping of the set f1; : : : ; ng, by constructing amapping-walk and showing these random walks converge weakly to a re ecting Brownian bridge. Two di erent ways to encode a mapping as a walk lead to two di erent decompositions of the Brownian bridge, each de ned by cutting the path of t...

This work continues the search for viable intractability assumptions over infinite groups. In particular, we study the possibility of phrasing random self-reducibility properties for infinite groups in an analogous manner to the case of finite groups with the uniform distribution. As a first step, it is natural to look for distributions which are translation-invariant, i.e., the probability of ...