Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches

dc.contributor.authorMat Jan, Nur Amalina
dc.date.accessioned2023-07-16T07:52:56Z
dc.date.available2023-07-16T07:52:56Z
dc.date.issued2021
dc.descriptionThesis (PhD. (Mathematics))
dc.description.abstractNon-stationary flood frequency analysis (NFFA) plays an important role in defining the probabilities of flood occurrences by taking into account of the non-independence and non-stationary aspects of hydrological extreme events data. This analysis overcomes the issue of the stationary assumptions (independent and identically distributed flood series) applied in flood frequency analysis (FFA), which are no longer valid in infrastructure-designed methods. This is because ignoring the non-stationarity of hydrological records may result in inaccurate future flood event predictions. Flood estimation is one of the important components in frequency analysis. Thus, an appropriate parameter estimation method should be established to deal with flood frequency analysis in the likely case of non-stationary. The objective of this study is to propose a parameter estimation method to estimate the parameter of non-stationary distribution model. The proposed methods are Trimmed L-moments (TL-moments) method and performance comparison of TL-moments with L-moments method in NFFA study. The TL-moments method was applied to the Generalized Extreme Value (GEV) distribution model with time as covariate. Four GEV distribution models examined in this study were stationary model (GEV0) and three non-stationary models (GEV1, GEV2, and GEV3). Comparisons of the parameter estimation methods were carried out using Monte Carlo simulation and bootstrap techniques. The simulation study showed that TL-moments performed better than L-moments method for GEV1 and GEV3 models. Streamflow data for three of eleven rivers in Johor, Malayis were found to exhibit non-stationary behaviour in the annual maximum streamflow. These rivers showed decreased trend in the flood series based on the Mann-Kendall trend test and Spearman’s Rho test. From the bootstrap analysis, the TL-moments method performed better as compared to the L-moments method for GEV0, GEV1, and GEV3 models. The overall result concluded that the TL-moments method could provide an efficient prediction of the flood event estimated at quantiles of the higher return periods.
dc.description.sponsorshipFaculty of Science
dc.identifier.urihttp://openscience.utm.my/handle/123456789/430
dc.language.isoen
dc.publisherUniversiti Teknologi Malaysia
dc.subjectFlood routing
dc.titleParameter estimation methods for non-stationary data using L-moments and TL-moments approaches
dc.typeThesis
dc.typeDataset
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THE CODES OF MONTE CARLO SIMULATION STUDY IN R SOFTWARE
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THE CODES OF BOOTSTRAP TECHNIQUE IN R SOFTWARE
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THE TIME SERIES PLOT OF THE ANNUAL MAXIMUM STREAMFLOW IN JOHOR
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RRMSE AND RBIAS RESULT OF QUANTILE ESTIMATED AT DIFFERENT SAMPLE SIZE FOR GEV1 MODEL IN SIMULATION STUDY
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RRMSE AND RBIAS RESULT OF QUANTILE ESTIMATED AT DIFFERENT SAMPLE SIZE FOR GEV2 MODEL IN SIMULATION STUDY
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