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Parametric estimation methods for bivariate copula in rainfall application
Rahmah Mohd Lokoman1, Fadhilah Yusof2.
This study focuses on the parametric methods: maximum likelihood (ML), inference
function of margins (IFM), and adaptive maximization by parts (AMBP) in estimating
copula dependence parameter. Their performance is compared through
simulation and empirical studies. For the empirical study, 44 years of daily rainfall
data of Station Kuala Krai and Station Ulu Sekor were used. The correlation of the
two stations is statistically significant at 0.4137. The results from the simulation study
show that when the sample size is small (n <1000) for correlation level less than 0.80,
IFM has the best performance. While, when the sample size is large (n ≥ 1000) for any
correlation level, AMBP has the best performance. The results from the empirical
study also show that AMBP has the best performance when the sample size is large.
Thus, in order to estimate a precise Copula dependence parameter, it can be
concluded that for parametric approaches, IFM is preferred for small sample size
and has correlation level less than 0.80 and AMBP is preferred for larger sample size
and for any correlation level. The results obtained in this study highlight the
importance of estimating the dependence structure of the hydrological data. By
using the fitted copula, the Malaysian Meteorological Department will be able to
generate hydrological events for a system performance analysis such as flood and
drought control system.
Affiliation:
- Universiti Teknologi Malaysia, Malaysia
- Universiti Teknologi Malaysia, Malaysia
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Indexation |
Indexed by |
MyJurnal (2021) |
H-Index
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6 |
Immediacy Index
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0.000 |
Rank |
0 |
Indexed by |
Scopus 2020 |
Impact Factor
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CiteScore (1.4) |
Rank |
Q3 (Engineering (all)) |
Additional Information |
SJR (0.191) |
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