Sains Malaysiana 52(8)(2023): 2419-2430

http://doi.org/10.17576/jsm-2023-5208-18

Modelling Wind Speed Data in Pulau Langkawi With Functional Relationship

(Memodelkan Data Kelajuan Angin di Pulau Langkawi dengan Perhubungan Fungsian)

NUR AIN AL-HAMEEFATUL JAMALIYATUL¹, BASRI BADYALINA¹, NURKHAIRANY AMYRA MOKHTAR^1,*, ADZHAR RAMBLI², YONG ZULINA ZUBAIRI ³ & ADILAH ABDUL GHAPOR⁴

¹Mathematical Sciences Studies, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM) Johor Branch, Segamat Campus, 85000 Segamat, Johor, Malaysia

²School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

³Institute of Advanced Studies, Universiti Malaya, 50603 Kuala Lumpur, Malaysia

⁴Department of Decision Science, Faculty of Business and Economics, Universiti Malaya, 50603 Kuala Lumpur, Federal Territory, Malaysia

Diserahkan: 16 Disember 2022/Diterima: 1 Ogos 2023

Abstract

Wind speed influenced weather predictions, aerospace operations, and maritime operations, construction projects. This research aims to examine the relationship between Pulau Langkawi wind speed data during the southwest monsoons in 2019 and 2020. To model wind speed data that follows a normal distribution. An error-in-variables model (EIVM) is utilised, which is a linear functional relationship model (LFRM). The QQ-plots will be utilised to investigate the adequacy of the model’s fit. The maximum likelihood estimation (MLE) approach is employed to estimate the parameters of the model, while the covariance is calculated using the Fisher Information matrix. As a result, it is found that the estimated values demonstrate consistency and reduced dispersion. Thus, the findings could lead to a better knowledge of wind energy prediction.

Keywords: Linear functional relationship model; maximum likelihood estimation; wind speed

Abstrak

Kelajuan angin mempengaruhi ramalan cuaca, operasi aeroangkasa, operasi maritim dan projek pembinaan. Tujuan penyelidikan ini adalah untuk mengkaji hubungan antara data kelajuan angin Pulau Langkawi di Malaysia selama musim barat daya pada tahun 2019 dan 2020. Untuk memodelkan data kelajuan angin yang tertabur secara normal, model ralat dalam pemboleh ubah telah digunakan iaitu model hubungan kefungsian linear. Plot QQ digunakan untuk mengkaji kebolehupayaan penyuaian model terhadap data. Pendekatan anggaran maksimum digunakan untuk menganggar parameter model dan matriks Maklumat Fisher digunakan untuk menghitung kovarians. Keputusan menunjukkan bahawa nilai anggaran adalah konsisten dan kurang terserak. Hasil kajian ini boleh meningkatkan pengetahuan berkenaan ramalan tenaga angin.

Kata kunci: Anggaran kebolehjadian maksimum; kelajuan angin; model hubungan fungsi linear

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*Pengarang untuk surat-menyurat; email: nurkhairany@uitm.edu.my