MAXIMUM LIKELIHOOD ESTIMATION AND UNIFORM INFERENCE WITH SPORADIC IDENTIFICATION FAILURE By

Supplemental Appendix to MAXIMUM LIKELIHOOD ESTIMATION AND UNIFORM INFERENCE WITH SPORADIC IDENTIFICATION FAILURE By

Maximum likelihood estimation and uniform inference with sporadic identification failure

This paper analyzes the properties of a class of estimators, tests, and con…dence sets (CS’s) when the parameters are not identi…ed in parts of the parameter space. Speci…cally, we consider estimator criterion functions that are sample averages and are smooth functions of a parameter : This includes log likelihood, quasi-log likelihood, and least squares criterion functions. We determine the as...

Maximum Likelihood Estimation and Uniform Inference with Sporadic Identication Failure

This paper analyzes the properties of a class of estimators, tests, and con…dence sets (CS’s) when the parameters are not identi…ed in parts of the parameter space. Speci…cally, we consider estimator criterion functions that are sample averages and are smooth functions of a parameter : This includes log likelihood, quasi-log likelihood, and least squares criterion functions. We determine the as...

Nonparametric Maximum Likelihood Density Estimation and Simulation-Based Minimum Distance Estimators

Indirect inference estimators (i.e., simulation-based minimum distance estimators) in a parametric model that are based on auxiliary nonparametric maximum likelihood density estimators are shown to be asymptotically normal. If the parametric model is correctly specified, it is furthermore shown that the asymptotic variance-covariance matrix equals the inverse of the Fisher-information matrix. T...

On Maximum Empirical Likelihood Estimation and Related Topics

This article studies maximum empirical likelihood estimation in the case of constraint functions that may be discontinuous and/or depend on additional parameters. The later is the case in applications to semiparametric models where the constraint functions may depend on the nuisance parameter. Our results are thus formulated for empirical likelihoods based on estimated constraint functions that...