1
Master's degree in Statistics, Amirkabir University of Technology, Iran
2
Faculty Member, Department of Statistics, Amirkabir University of Technology, Iran
Abstract
Maximum likelihood estimation in multivariate distributions requires high-dimensional optimization (with a large number of unknown parameters). In this paper, we recall the two-stage parameter estimation using the detailed function. This method divides the problem into several smaller optimizations and simplifies and saves computations. We also present two methods for checking the consistency of the estimators. We use the bivariate Pareto as an example, and two data sets (generated and real) are analyzed to clarify the objectives.