Evaluation of Some Heteroscedastic Models of Generator Plants Noise Production
1 Department of Mathematics, Obafemi Awolowo University, Ile-Ife 220005, Nigeria.
2 Department of Statistics, Federal University Lafia, PMB 146 Lafia, Nigeria
3 Department of Mechatronics Engineering, Federal University of Technology, Minna, Nigeria.
* Corresponding author: ajsaka@oauife.edu.ng
2 Department of Statistics, Federal University Lafia, PMB 146 Lafia, Nigeria
3 Department of Mechatronics Engineering, Federal University of Technology, Minna, Nigeria.
* Corresponding author: ajsaka@oauife.edu.ng
Abstract
Regression analysis requires the homoscedasticity condition to fit
and predict time series observations. Basically, most real life data
have a tendency to exhibit changing in variances which violates
the homoscedasticity assumption. As such, it is appropriate to
consider outlines that allow the variance to be subjected to the
history of the data. This study therefore compare some het
eroscedastic models in fitting and forecasting generator noise from
one location to another. A stationarity and heteroscedasticity
procedures are considered on the data across the locations using
Augmented Dickey Fuller (ADF) and Breusch-Pagan (BP) tests
respectively. Also, the four heteroscedastic models of different
orders are used to model the data. Thereafter, the inadequacies
of the models selected are determined for future forecasting
in which all generating plants noise data were found to be
stationary and heteroscedastic. GARCH(1,1) and GARCH(1,2)
are used to fit and forecast the data. It was observed that
forecasted values are stationary over time across the locations.
Keywords
Heteroscedasticity
Homoscedasticity
stationarity
GARCH
& Generating noise
How to Cite
Saka, A. J., Akeyede, I., & Babawuya, A. (2026). Evaluation of Some Heteroscedastic Models of Generator Plants Noise Production. Nigerian Journal of Mathematics and Applications, 30(1), 61-72.
A. J. Saka, I. Akeyede, and A. Babawuya, "Evaluation of Some Heteroscedastic Models of Generator Plants Noise Production," Nigerian Journal of Mathematics and Applications, vol. 30, no. 1, pp. 61-72, August 2026.