TY - JOUR A2 - Chiodo, Elio AU - Marange, C. S. AU - Qin, Y. PY - 2018 DA - 2018/09/12 TI - A Simple Empirical Likelihood Ratio Test for Normality Based on the Moment Constraints of a Half-Normal Distribution SP - 8094146 VL - 2018 AB - A simple and efficient empirical likelihood ratio (ELR) test for normality based on moment constraints of the half-normal distribution was developed. The proposed test can also be easily modified to test for departures from half-normality and is relatively simple to implement in various statistical packages with no ordering of observations required. Using Monte Carlo simulations, our test proved to be superior to other well-known existing goodness-of-fit (GoF) tests considered under symmetric alternative distributions for small to moderate sample sizes. A real data example revealed the robustness and applicability of the proposed test as well as its superiority in power over other common existing tests studied. SN - 1687-952X UR - https://doi.org/10.1155/2018/8094146 DO - 10.1155/2018/8094146 JF - Journal of Probability and Statistics PB - Hindawi KW - ER -