Master of Science (MS)
B. M. Golam Kibria
Bivariate Normal Distribution, MLE, MSE, Bias, Testing Power
Date of Defense
Let (X, Y) be bivariate normal random vectors which represent the responses as a result of Treatment 1 and Treatment 2. The statistical inference about the bivariate normal distribution parameters involving missing data with both treatment samples is considered. Assuming the correlation coefficient ρ of the bivariate population is known, the MLE of population means and variance (ξ, η, and σ2) are obtained. Inferences about these parameters are presented. Procedures of constructing confidence interval for the difference of population means ξ – η and testing hypothesis about ξ – η are established. The performances of the new estimators and testing procedure are compared numerically with the method proposed in Looney and Jones (2003) on the basis of extensive Monte Carlo simulation. Simulation studies indicate that the testing power of the method proposed in this thesis study is higher.
Shi, Yipin, "Study on Bivariate Normal Distribution" (2012). FIU Electronic Theses and Dissertations. Paper 745.
Available for download on Thursday, November 27, 2014