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扩散模型最大似然估计的信息理论AI 解读

We develop an information theoretic framework for maximum likelihood estimation of diffusion models. Two information criteria that measure the divergence of a diffusion process from the true diffusion are defined. The maximum likelihood estimator (MLE) converges asymptotically to the limit that minimizes the criteria when sampling interval decreases as sampling span increases. When both drift and diffusion specifications are correct, the criteria become zero and the inverse…

基于高频数据的似然扩散模型选择：渐近分析AI 解读

We provide a new asymptotic analysis of model selection procedure that compares likelihoods of two candidate diffusion models. Our asymptotic analysis relies on two dimensional asymptotic expansions with shrinking sampling interval Δ and increasing sampling span T, and clarifies the different roles of drift and diffusion functions in the selection of diffusion models. In particular, we show that the model with superior diffusion function specification is always preferred to…

改进动态模型的稳健模型选择检验AI 解读

We propose an improved model selection test for dynamic models using a new asymptotic approximation to the sampling distribution of a new test statistic. The model selection test is applicable to dynamic models with very general selection criteria and estimation methods. Since our test statistic does not assume the exact form of a true model, the test is essentially non-parametric once competing models are estimated. For the unknown serial correlation in data, we use a…

稳健非嵌套检验与货币需求AI 解读

Nonnested hypothesis testing procedures recently have been extended to dynamic nonnested models. We propose robust tests that generalize the J test and the F test for nonnested dynamic models with unknown serial correlation and conditional heteroscedasticity in errors and regressors. We investigate the finite-sample properties of our test statistics and propose to use bootstrap methods or the fixed-b asymptotics developed by Kiefer and Vogelsang to improve the asymptotic…