The Exact Finite-Sample Distribution of the Limited-Information Maximum Likelihood Estimator in the Case of Two Included Endogenous Variables

This article is concerned with the exact finite-sample distribution of the limited-information maximum likelihood estimator when the structural equation being estimated contains two endogenous variables and is identifiable in a complete system of linear stochastic equations. The density function der...

Full description

Saved in:
Bibliographic Details
Main Authors: Mariano, Roberto S., Sawa, Takamitsu
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1972
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/155
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Singapore Management University
Language: English
Description
Summary:This article is concerned with the exact finite-sample distribution of the limited-information maximum likelihood estimator when the structural equation being estimated contains two endogenous variables and is identifiable in a complete system of linear stochastic equations. The density function derived, which is represented as a doubly infinite series of a complicated form, reveals the important fact that For arbitrary values of the parameters in the model, the LIML estimator does not possess moments of order greater than or equal to one.