Buu-Chau Truong, Thi Diem-Chinh Ho, Thu-Quang Luu and Michael McAleer

DOI: https://doi.org/10.6000/1929-7092.2019.08.90

Published: 13 December 2019

Abstract: Estimation is used widely in numerous disciplines, including Mathematics, Statistics, Economics, Business, and Decision Sciences, among others. Estimation is a process for determining an approximation, which is a value that can be used for a number of purposes, even if input data are sufficient, incomplete, missing or unsecure. In practice, estimation relates to “using the value of a statistic inferred from a sample to estimate the value of a corresponding population parameter”. Estimation is usually separated into two categories, namely point estimation and interval estimation. The main purpose of this paper is to present a universal approach to the theory and practice of three methods in statistical inference to obtain point estimates, namely the moment, maximum likelihood, and Bayesian methods. The paper also discusses the advantages and disadvantages of the three universal approaches in practical applications in Economics, Business and Decision Sciences.

Keywords: Universal approach, Maximum likelihood, Moment method, Bayesian method.

Download