Error Assumptions on Generalized STAR Model

Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2017, Vol 49, Issue 2

Abstract

For GSTAR models, the least squares estimation method is commonly used since errors are assumed be uncorrelated. However, this method is not appropriate when errors are correlated, either in time or spatially. For these cases, the generalized least squares (GLS) method can be applied. GLS is more powerful since it has an error parameter that can act as a controller of the model to produce an efficient estimator. In this study, R Software was used to estimate GSTAR parameters. The resulted model was applied to real data, i.e. the monthly tea production of five plantations in West Java, Indonesia. The best model for forecasting was the GSTAR(1;1) model with temporally correlated error assumption.

Authors and Affiliations

Yundari Yundari, Udjianna Sekteria Pasaribu, Utriweni Mukhaiyar

Keywords

Related Articles

Preliminary Estimation of Engineering Bedrock Depths from Microtremor Array Measurements in Solo, Central Java, Indonesia

In the last decade the city of Solo, located in Central Java, Indonesia, has grown significantly and become a major city. Many industries and hotels have been built in the city and its surroundings. This study aimed to d...

Robust Estimators for the Correlation Measure to Resist Outliers in Data

The objective of this research was to propose a composite correlation coefficient to estimate the rank correlation coefficient of two variables. A simulation study was conducted using 228 situations for a bivariate norma...

Flavonoid Compounds from the Herb of Krokot (Lygodium microphyllum) and their antioxidant activity against DPPH

Six flavonoid compounds, kaempferol (1), quercetin (2), acacetin (3), quercetin-3-O-β-D-glucopyranoside (4), kaempferol-3-O-β-D-glucopyranoside (5), and isorhamnetin-3-O-β-D-glucopyranoside (6), were isolated from the me...

Approximate Solutions of Linearized Delay Differential Equations Arising from a Microbial Fermentation Process Using the Matrix Lambert Function

In this paper we present approximate solutions of linearized delay differential equations using the matrix Lambert function. The equations arise from a microbial fermentation process in a metabolic system. The delay term...

On The Partition Dimension of Disconnected Graphs

For a graph G=(V,E), a partition Ω=\{O_1,O_2,…,O_k \} of the vertex set V is called a resolving partition if every pair of vertices u,v∈V(G) have distinct representations under Ω. The partition dimension of G is the mini...

Download PDF file
  • EP ID EP314902
  • DOI 10.5614/j.math.fund.sci.2017.49.2.4
  • Views 113
  • Downloads 0

How To Cite

Yundari Yundari, Udjianna Sekteria Pasaribu, Utriweni Mukhaiyar (2017). Error Assumptions on Generalized STAR Model. Journal of Mathematical and Fundamental Sciences, 49(2), 136-155. https://europub.co.uk/articles/-A-314902