A Pair of Novel Priors for Improving and Extending the Conditional MLE

07/07/2022
by   T. Yanagimoto, et al.
0

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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/13/2020

Bayesian inference under small sample size – A noninformative prior approach

A Bayesian inference method for problems with small samples and sparse d...
research
12/09/2020

Objective Bayesian approach to the Jeffreys-Lindley paradox

We consider the Jeffreys-Lindley paradox from an objective Bayesian pers...
research
05/13/2018

A Bayesian semiparametric framework for causal inference in high-dimensional data

We introduce a Bayesian framework for estimating causal effects of binar...
research
09/17/2023

L^1 Estimation: On the Optimality of Linear Estimators

Consider the problem of estimating a random variable X from noisy observ...
research
03/31/2023

Transform-scaled process priors for trait allocations in Bayesian nonparametrics

Completely random measures (CRMs) provide a broad class of priors, argua...
research
12/16/2021

Reinforcing RCTs with Multiple Priors while Learning about External Validity

This paper presents a framework for how to incorporate prior sources of ...
research
04/25/2018

Jointly Robust Prior for Gaussian Stochastic Process in Emulation, Calibration and Variable Selection

Gaussian stochastic process (GaSP) has been widely used in two fundament...

Please sign up or login with your details

Forgot password? Click here to reset