Gradient-based parameter estimation for a nonlinear exponential autoregressive time-series model by using the multi-innovation

J Pan, Y Liu, J Shu - International Journal of Control, Automation and …, 2023 - Springer
The parameter estimation methods for the nonlinear exponential autoregressive model are
investigated in this paper. We develop a forgetting factor gradient parameter estimation …

Modeling a nonlinear process using the exponential autoregressive time series model

H Xu, F Ding, E Yang - Nonlinear Dynamics, 2019 - Springer
The parameter estimation methods for the nonlinear exponential autoregressive (ExpAR)
model are investigated in this work. Combining the hierarchical identification principle with …

GNAR-GARCH model and its application in feature extraction for rolling bearing fault diagnosis

J Ma, F Xu, K Huang, R Huang - Mechanical Systems and Signal …, 2017 - Elsevier
Given its simplicity of modeling and sensitivity to condition variations, time series model is
widely used in feature extraction to realize fault classification and diagnosis. However …

Fitting the exponential autoregressive model through recursive search

H Xu, L Wan, F Ding, A Alsaedi, T Hayat - Journal of the Franklin Institute, 2019 - Elsevier
This paper focuses on the recursive parameter estimation methods for the exponential
autoregressive (ExpAR) model. Applying the negative gradient search and introducing a …

Estimation in periodic restricted EXPAR (1) models

M Merzougui - Communications in Statistics-Simulation and …, 2018 - Taylor & Francis
This article is devoted to study the problem of estimation in the periodic restricted
exponential autoregressive EXPAR (1) models. The estimation procedure that is used is the …

[PDF][PDF] Performance of a Novel Hybrid Model Through Simulation and Historical Financial Data

MJ Hossain, MT Ismail - Sains Malaysiana, 2022 - ukm.my
It is thoroughly acknowledged that the historical financial time series is not linear, exhibits
structural changes, and is volatile. It has been noticed in the current literature that because …

Parameter estimation for an exponential autoregressive time series model by the Newton search and multi-innovation theory

H Xu, F Ding, M Gan, A Alsaedi… - International Journal of …, 2021 - Taylor & Francis
This paper focuses on the recursive parameter estimation problem of the exponential
autoregressive (ExpAR) model. Applying the Newton search and multi-innovation theory, a …

Periodic Exponential Autoregressive Models for Rainfall Forecasting in Algeria

S Becila, M Merzougui - Statistics, Optimization & Information …, 2025 - iapress.org
This study examines the utilization of periodic exponential autoregressive (PEXPAR) models
in analyzing rainfall time series data from Algeria. The method of Gaussian quasi maximum …

Recursive search‐based identification algorithms for the exponential autoregressive time series model with coloured noise

H Xu, F Ding, E Yang - IET Control Theory & Applications, 2020 - Wiley Online Library
This study focuses on the recursive parameter estimation problems for the non‐linear
exponential autoregressive model with moving average noise (the ExpARMA model for …

A New Hybrid Model Based on Non-Gaussian Autoregressive Process and Neural Network Model for Financial Market Prediction

J Park - 2024 - search.proquest.com
In financial modeling, the assumption of Gaussian noise, has been a classical assumption.
Models based on this assumption have been widely used in various fields due to their …