Firstly, simulation studies on the type I error probability and power of non-central skew-F testing statistic are given by using Monte Carlo method in this paper. Then, the characteristics of the skew-normal distribution are showed on the data of en...
Firstly, simulation studies on the type I error probability and power of non-central skew-F testing statistic are given by using Monte Carlo method in this paper. Then, the characteristics of the skew-normal distribution are showed on the data of energy intensity in China. Also, skew-normal multivariate regression models are established to study the main influence factors of energy intensity for the whole country, eastern China and mid- western China respectively. On this basis, a GEE model is constructed to verify the robustness of the above skew-normal multivariate regression results. It shows that the technology progress, industry structure and energy consumption structure have significant influences on the energy intensity for the whole country, eastern and mid- western region, with the R&D input and electricity consumption proportion influencing negatively while the secondary industry proportion influencing positively. Moreover, the impacts of technology progress and energy consumption structure turn out to be quite different among regions. Finally, some countermeasures and suggestions are recommended in this paper.