Physical Sciences and Mathematics Commons^™

A Review Of Statistical Analysis Of Genetic Case-Control Data, Jin Zhang

Major Papers

This paper considers the analysis of genetic case-control data. We consider the allele frequency in cases and controls. Because each individual has two alleles at any autosomal locus, there will be twice as many alleles as people in the allele distribution. Simultaneously, the serological distribution is bulit by ignoring the difference between homozygous and herterozygous. We also consider the marker loci with multiple alleles. Traditional case-control studies provide a powerful and efficient method for evaluation of association between candidate gene and disease. There has been debate on how the power of tests for association changes with different allelic effect. To …

Level Crossing Simulation Of A Queueing Model, Zhanxuan Ding

Major Papers

Simulation of the level crossing method will be used to find approximations of the distribution of the workload for several queueing models. In particular, three different type of queueing models, with different methods of handling workload bound thresholds, will be considered. Simulation applied to workload bound thresholds is new work.

Infinite Sums, Products, And Urn Models, Yiyan Ni

Major Papers

This paper considers an urn and its evolution in discrete time steps. The

urn initially has two different colored balls(blue and red). We discuss different

cases where k blue balls (k = 1, 2, 3, ... ) will be added (or removed) at every

step if a blue ball is withdrawn, based on the goal of eventually withdrawing a

red ball P(R eventually). We compute the probability of eventually withdrawing

a red ball with two different methods–one using infinite sums and other using

infinite products. One advantage of this is that we can obtain P(R eventually) in

a complex but …