Essays in Information Theoretic Econometrics and High Dimensional Econometrics

Download or read book Essays in Information Theoretic Econometrics and High Dimensional Econometrics written by Yi Mao and published by . This book was released on 2019 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the structure of IT-based estimators, the number of moment conditions increase rapidly with the growing dimensionality of variables. Computational burden of maximum entropy estimation with all the observed moments becomes heavier accordingly. Thus, I link the problem of IT-based maximum entropy estimation and moment selection in Chapter 4. We propose a regularized ME approach to select relevant moments. We also use the entropy ratio test to select moments of which the Lagrange multipliers are significant. Simulation examples show that the probability of selecting relevant moments approaches to one as sample size gets larger. Lastly, I explore the regularization of high dimensional matrices in Chapter 5. I deal with the challenge of estimating large precision matrices which are often used in a variety of applications. I propose a dynamic conditional precision (DCP) algorithm by embedding a dynamic structure to conditional precision matrices. I show the consistency of the DCP estimator and apply it to a forecast combination application.