Priors for Macroeconomic Time Series and Their Application
在一般趋势平稳模型中引入一族有信息但非共轭的先验分布，通过六步吉布斯抽样构建后验矩、密度和优势比，并应用于Nelson-Plosser时间序列，显示后验分布非高斯且对先验选择敏感。
This paper takes up Bayesian inference in a general trend stationary model for macroeconomic time series with independent Student- t disturbances. The model is linear in the data, but nonlinear in parameters. An informative but nonconjugate family of prior distributions for the parameters is introduced, indexed by a single parameter that can be readily elicited. The main technical contribution is the construction of posterior moments, densities, and odd ratios by using a six-step Gibbs sampler. Mappings from the index parameter of the family of prior distribution to posterior moments, densities, and odds ratios are developed for several of the Nelson–Plosser time series. These mappings show that the posterior distribution is not even approximately Gaussian, and they indicate the sensitivity of the posterior odds ratio in favor of difference stationarity to the choice of the prior distribution.