Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution
In studies of potential wind energy, knowing statistical distribution of wind direction provides useful information in making predictions and gives a better understanding of the behavior of the wind direction. Malaysia experiences two monsoon seasons per year, namely Southwest Monsoon and Northeast...
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Penerbit Universiti Kebangsaan Malaysia
2021
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Online Access: | http://journalarticle.ukm.my/17564/1/18.pdf http://journalarticle.ukm.my/17564/ https://www.ukm.my/jsm/malay_journals/jilid50bil7_2021/KandunganJilid50Bil7_2021.html |
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my-ukm.journal.175642021-11-15T03:41:27Z http://journalarticle.ukm.my/17564/ Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution Nor Hafizah Moslim, Nurkhairany Amyra Mokhtar, Yong Zulina Zubairi, Abdul Ghapor Hussin, In studies of potential wind energy, knowing statistical distribution of wind direction provides useful information in making predictions and gives a better understanding of the behavior of the wind direction. Malaysia experiences two monsoon seasons per year, namely Southwest Monsoon and Northeast Monsoon and in this paper, our interest is to investigate whether the direction of wind data in monsoon seasons can be modelled using replicated LFRM with von Mises distribution. The beauty of this model is that it considers the error terms in both x and y variables. This study considers the bivariate relationship of directional wind data where errors are present in both. Here, we propose a replicated functional relationship model, with the von Mises distribution to describe the relationship of the wind direction data. In the parameter estimation, maximum likelihood method is considered with pseudo-replicated group of the replicated form of the functional relationship. The novelty of this approach is that assumption on the ratio of concentration parameters is no longer deemed necessary. Also, we derive the covariance matrix of the parameters based on Fisher Information. From the Monte Carlo simulation study, small bias measures were obtained, suggesting the viability of the model. Based on the simulation study, it can be concluded that the wind direction of the two monsoons in Malaysia can be modelled using replicated linear functional relationship model. Penerbit Universiti Kebangsaan Malaysia 2021-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/17564/1/18.pdf Nor Hafizah Moslim, and Nurkhairany Amyra Mokhtar, and Yong Zulina Zubairi, and Abdul Ghapor Hussin, (2021) Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution. Sains Malaysiana, 50 (7). pp. 2035-2045. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid50bil7_2021/KandunganJilid50Bil7_2021.html |
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In studies of potential wind energy, knowing statistical distribution of wind direction provides useful information in making predictions and gives a better understanding of the behavior of the wind direction. Malaysia experiences two monsoon seasons per year, namely Southwest Monsoon and Northeast Monsoon and in this paper, our interest is to investigate whether the direction of wind data in monsoon seasons can be modelled using replicated LFRM with von Mises distribution. The beauty of this model is that it considers the error terms in both x and y variables. This study considers the bivariate relationship of directional wind data where errors are present in both. Here, we propose a replicated functional relationship model, with the von Mises distribution to describe the relationship of the wind direction data. In the parameter estimation, maximum likelihood method is considered with pseudo-replicated group of the replicated form of the functional relationship. The novelty of this approach is that assumption on the ratio of concentration parameters is no longer deemed necessary. Also, we derive the covariance matrix of the parameters based on Fisher Information. From the Monte Carlo simulation study, small bias measures were obtained, suggesting the viability of the model. Based on the simulation study, it can be concluded that the wind direction of the two monsoons in Malaysia can be modelled using replicated linear functional relationship model. |
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Nor Hafizah Moslim, Nurkhairany Amyra Mokhtar, Yong Zulina Zubairi, Abdul Ghapor Hussin, |
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Nor Hafizah Moslim, Nurkhairany Amyra Mokhtar, Yong Zulina Zubairi, Abdul Ghapor Hussin, Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution |
author_facet |
Nor Hafizah Moslim, Nurkhairany Amyra Mokhtar, Yong Zulina Zubairi, Abdul Ghapor Hussin, |
author_sort |
Nor Hafizah Moslim, |
title |
Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution |
title_short |
Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution |
title_full |
Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution |
title_fullStr |
Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution |
title_full_unstemmed |
Understanding the behaviour of wind direction in Malaysia during monsoon seasons using replicated functional relationship in von Mises distribution |
title_sort |
understanding the behaviour of wind direction in malaysia during monsoon seasons using replicated functional relationship in von mises distribution |
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Penerbit Universiti Kebangsaan Malaysia |
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2021 |
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http://journalarticle.ukm.my/17564/1/18.pdf http://journalarticle.ukm.my/17564/ https://www.ukm.my/jsm/malay_journals/jilid50bil7_2021/KandunganJilid50Bil7_2021.html |
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