ISSN: 1304-7191 | E-ISSN: 1304-7205
The Performance of Multistage Sequential Sampling Procedures for the Mean of a Normal Population: A Monte Carlo Simulation Study
1Faculty of Engineering, Department of Mathematics, Kuwait College of Science and Technology, KUWAIT
2Faculty of Management Sciences, October University for Modern Sciences and Arts, 12566 6th October City, Cairo, EGYPT
Sigma J Eng Nat Sci 2019; 10(): 265-276
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Abstract

This paper studies the performance of multistage sequential sampling procedures in chronological order, starting from Stein’s two-stage procedure, the one-by-one purely sequential procedure, Hall’s three-stage procedure, and the accelerated sequential procedure for estimating the mean of the normal distribution under a moderate sample size using Monte Carlo simulation. We also introduce and discuss the performance of a new sequential sampling procedure called the progressive procedure that starts with a bulk stage and ends by one-by-one purely sampling under moderate and large sample sizes (asymptotic) based on Monte Carlo simulation. The simulation results show that the new procedure competes with other procedures and attains all targeted asymptotic characteristics except the exact consistency property.