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Whenever the sign of the parameters are known of an econometric model, usual two-sided tests are no longer appropriate. In this situation, we propose a distance-based one-sided Wald test, a likelihood based test, to test one-sided alternative. Monte Carlo simulations are conducted to compare power properties of the proposed test with their respective two-sided counterparts. This text emphasizes the use of distance-based one-sided concepts in testing higher order autocorrelation in the context of linear as well as dynamic regression models.

The bootstrap is a resampling method for statistical inference, which helps us in most cases, to increase the degree of trust that can be placed in a result based on limited sample of data. When the sample size is small and their EDF is unknown, the bootstrap method is used to make asymptotically normal or near normal. Bootstrap confidence interval thus has double potential advantages over most statistical technique-due to the fact that, it is confidence interval and due to the fact that it is based on bootstrap method. There are several methods of bootstrap confidence interval: the standard...