### Abstract

Wind direction has a substantial effect on the environment and human lives. As examples, the wind direction influences the dispersion of particulate matter in the air and affects the construction of engineering structures, such as towers, bridges, and tall buildings. Therefore, a statistical analysis of the wind direction provides important information about the wind regime at a particular location. In addition, knowledge of the wind direction and wind speed can be used to derive information about the energy potential. This study investigated the characteristics of the wind regime of Mersing, Malaysia. A circular distribution based on Nonnegative Trigonometric Sums (NNTS) was fitted to a histogram of the average hourly wind direction data. The Newton-like manifold algorithm was used to estimate the parameter of each component of the NNTS model. Next, the suitability of each NNTS model was judged based on a graphical representation and Akaike's Information Criteria. The study found that the NNTS model with six or more components was able to fit the wind directional data for the Mersing station.

Original language | English |
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Title of host publication | 2nd ISM International Statistical Conference 2014, ISM 2014 |

Subtitle of host publication | Empowering the Applications of Statistical and Mathematical Sciences |

Editors | Nor Aida Zuraimi Md Noar, Roslinazairimah Zakaria, Wan Nur Syahidah Wan Yusoff, Mohd Sham Mohamad, Mohd Rashid Ab Hamid |

Publisher | American Institute of Physics Inc. |

Pages | 305-311 |

Number of pages | 7 |

ISBN (Electronic) | 9780735412811 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

Event | 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 - Kuantan, Pahang, Malaysia Duration: 12 Aug 2014 → 14 Aug 2014 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1643 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 |
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Country | Malaysia |

City | Kuantan, Pahang |

Period | 12/8/14 → 14/8/14 |

### Fingerprint

### Keywords

- Circular distribution based on nonnegative trigonometric sums
- Multimodal directional data
- Newton-like manifold algorithm
- Wind direction modeling

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences*(pp. 305-311). (AIP Conference Proceedings; Vol. 1643). American Institute of Physics Inc.. https://doi.org/10.1063/1.4907460

**Fitting a circular distribution based on nonnegative trigonometric sums for wind direction in Malaysia.** / Masseran, Nurulkamal; Razali, Ahmad Mahir; Ibrahim, Kamarulzaman; Zaharim, Azami; Sopian, Kamaruzzaman.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences.*AIP Conference Proceedings, vol. 1643, American Institute of Physics Inc., pp. 305-311, 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, Kuantan, Pahang, Malaysia, 12/8/14. https://doi.org/10.1063/1.4907460

}

TY - GEN

T1 - Fitting a circular distribution based on nonnegative trigonometric sums for wind direction in Malaysia

AU - Masseran, Nurulkamal

AU - Razali, Ahmad Mahir

AU - Ibrahim, Kamarulzaman

AU - Zaharim, Azami

AU - Sopian, Kamaruzzaman

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Wind direction has a substantial effect on the environment and human lives. As examples, the wind direction influences the dispersion of particulate matter in the air and affects the construction of engineering structures, such as towers, bridges, and tall buildings. Therefore, a statistical analysis of the wind direction provides important information about the wind regime at a particular location. In addition, knowledge of the wind direction and wind speed can be used to derive information about the energy potential. This study investigated the characteristics of the wind regime of Mersing, Malaysia. A circular distribution based on Nonnegative Trigonometric Sums (NNTS) was fitted to a histogram of the average hourly wind direction data. The Newton-like manifold algorithm was used to estimate the parameter of each component of the NNTS model. Next, the suitability of each NNTS model was judged based on a graphical representation and Akaike's Information Criteria. The study found that the NNTS model with six or more components was able to fit the wind directional data for the Mersing station.

AB - Wind direction has a substantial effect on the environment and human lives. As examples, the wind direction influences the dispersion of particulate matter in the air and affects the construction of engineering structures, such as towers, bridges, and tall buildings. Therefore, a statistical analysis of the wind direction provides important information about the wind regime at a particular location. In addition, knowledge of the wind direction and wind speed can be used to derive information about the energy potential. This study investigated the characteristics of the wind regime of Mersing, Malaysia. A circular distribution based on Nonnegative Trigonometric Sums (NNTS) was fitted to a histogram of the average hourly wind direction data. The Newton-like manifold algorithm was used to estimate the parameter of each component of the NNTS model. Next, the suitability of each NNTS model was judged based on a graphical representation and Akaike's Information Criteria. The study found that the NNTS model with six or more components was able to fit the wind directional data for the Mersing station.

KW - Circular distribution based on nonnegative trigonometric sums

KW - Multimodal directional data

KW - Newton-like manifold algorithm

KW - Wind direction modeling

UR - http://www.scopus.com/inward/record.url?scp=85061101719&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061101719&partnerID=8YFLogxK

U2 - 10.1063/1.4907460

DO - 10.1063/1.4907460

M3 - Conference contribution

AN - SCOPUS:85061101719

T3 - AIP Conference Proceedings

SP - 305

EP - 311

BT - 2nd ISM International Statistical Conference 2014, ISM 2014

A2 - Noar, Nor Aida Zuraimi Md

A2 - Zakaria, Roslinazairimah

A2 - Yusoff, Wan Nur Syahidah Wan

A2 - Mohamad, Mohd Sham

A2 - Hamid, Mohd Rashid Ab

PB - American Institute of Physics Inc.

ER -