The Laplace Likelihood Ratio Test for Heteroscedasticity
Author(s) -
Van Zyl
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/249564
Subject(s) - mathematics , heteroscedasticity , likelihood ratio test , statistics , normality , score test , normality test , gaussian , econometrics , statistical hypothesis testing , physics , quantum mechanics
It is shown that the likelihood ratio test for heteroscedasticity, assuming the Laplace distribution, gives good results for Gaussian and fat-tailed data. The likelihood ratio test, assuming normality, is very sensitive to any deviation from normality, especially when the observations are from a distribution with fat tails. Such a likelihood test can also be used as a robust test for a constant variance in residuals or a time series if the data is partitioned into groups
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