학술논문

A Pair of Novel Priors for Improving and Extending the Conditional MLE
Document Type
Working Paper
Source
Subject
Statistics - Methodology
62F10, 62F15
Language
Abstract
A Bayesian estimator aiming at improving the conditional MLE is proposed by introducing a pair of priors. After explaining the conditional MLE by the posterior mode under a prior, we define a promising estimator by the posterior mean under a corresponding prior. The prior is equivalent to the reference prior in familiar models. Advantages of the present approach include two different optimality properties of the induced estimator, the ease of various extensions and the possible treatments for a finite sample size. The existing approaches are discussed and critiqued.
Comment: 22 pages