The Encompassing Principle and Hypothesis Testing
涵盖原则与假设检验
The exponentially tilted family of densities is used to discuss the relationship between the encompassing principle and the M -test or conditional moment testing principle. It is shown that the two principles are capable of generating the same test statistics and in this sense equivalent. However, there are differences in motivation and emphasis underlying the principles that are important in econometric modeling. In addition, parsimonious encompassing interpretations for…