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M-test in linear models with negatively superadditive dependent errors. | LitMetric

M-test in linear models with negatively superadditive dependent errors.

J Inequal Appl

Department of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002 China.

Published: September 2017

This paper is concerned with the testing hypotheses of regression parameters in linear models in which errors are negatively superadditive dependent (NSD). A robust M-test base on M-criterion is proposed. The asymptotic distribution of the test statistic is obtained and the consistent estimates of the redundancy parameters involved in the asymptotic distribution are established. Finally, some Monte Carlo simulations are given to substantiate the stability of the parameter estimates and the power of the test, for various choices of M-methods, explanatory variables and different sample sizes.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5610259PMC
http://dx.doi.org/10.1186/s13660-017-1509-6DOI Listing

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