Maximum Likelihood and Modified Maximum Likelihood Estimates of Linear Models with Errors Following Auto Regressive Process

Document Type : Original Article

Author

Dep.of Statistics, Faculty of Economics, Cairo University, Egypt

Abstract

The estimation of parameters of linear models with errors following first order auto-regressive process has been investigated. The Modified Maximum likelihood estimates, introduced by Patterson and Thompson (1971,1974) have been derived. An iterative procedure for solving MML equations has been suggested and simplified formulae for these equations have been given. The consumption function for EGYPT is estimated using ML and MML procedures.

Keywords