Master of Science in Mathematical Science
First Committee Member
Hokwon Cho, Chair
Second Committee Member
Third Committee Member
Graduate Faculty Representative
Number of Pages
We study measures of a comparison for two independent binomial variates which frequently occur in real situations. An estimator for measure of reduction (MOR) is considered for two sample proportions based on a modified maximum likelihood estimation. We study the desirable properties of the estimator: the asymptotic behavior of its unbiasedness and the variance of the estimator. Since the measure ρ is approximately normally distributed when sample sizes are sufficiently large, one may establish approximate confidence intervals for the true value of the estimators. For numerical study, the Monte Carlo experiment is carried out for the various scenarios of two sets of samples as well as to examine its finite sample behavior. Also, we investigate the behavior of the estimates when sample sizes get large. Two examples are provided to illustrate the use of this new measure, and extended to the hypothesis testing for further statistical inference.
Binomial; Binomial distribution; Binomial theorem; Inference; Mathematical statistics; Measure; Probabilities; Random variables; Reduction; Statistical; Variates
Mathematics | Multivariate Analysis | Statistics and Probability
Petersen, Serena, "Statistical inference of a measure for two binomial variates" (2011). UNLV Theses, Dissertations, Professional Papers, and Capstones. 1014.