Generalized projection tests for function-valued parameters with applications to testing structural causal assumptions
函数值参数的广义投影检验及其在结构性因果假设检验中的应用
Structural assumptions are central to the causal inference literature. In practice, it is often crucial to assess their validity or to test implications that follow from them. In many settings, such tests can be framed as evaluating whether a function-valued parameter equals zero. In this paper, we propose a class of generalized projection tests based on series estimators for function-valued parameters. We establish conditions under which the proposed tests are valid and…