April 28, 2024
Hossein Haghbin

Hossein Haghbin

Academic Rank: Assistant professor
Address:
Degree: Ph.D in Statistics
Phone: 077322
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title Likelihood-Based Inference in Autoregressive Models with Scaled tDistributed Innovations by Means of EMBased Algorithms
Type Article
Keywords
Journal COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
DOI
Researchers Hossein Haghbin (First researcher) ,

Abstract

This article applies the EM-based (ECM and ECME) algorithms to find the maximum likelihood estimates of model parameters in general AR models with independent scaled t-distributed innovations whenever the degrees of freedom are unknown. The ECME, sharing advantages with both EM and Newton–Raphson algorithms, is an extension of ECM, which itself is an extension of the EM algorithm. The ECM and ECME algorithms, which are analytically quite simple to use, are then compared based on the computational running time and the accuracy of estimation via a simulation study. The results demonstrate that the ECME is efficient and usable in practice. We also show how our method can be applied to the Wolfer’s sunspot data.