Statistical tests of a simple energy balance equation in a synthetic model of cotrending and cointegration
协趋势与协整综合模型中简单能量平衡方程的统计检验
We develop new tests for the linear relationship between temperature and forcing, which is one of the most studied implications from a simple energy balance model. We consider a bivariate system of temperature and forcing where the time path of well-mixed-greenhouse-gases forcing is included as a potential common trend function in addition to a stochastic trend and a broken linear trend. Our test statistics are first devised as the likelihood ratio and then are modified to…