Rainfall frequency analysis using LH-moments approach: A case of Kemaman Station, Malaysia

Authors

  • Zahrahtul Amani Zakaria

  • Jarah Moath Ali Suleiman

  • Mumtazimah Mohamad

How to Cite

Amani Zakaria, Z., Moath Ali Suleiman, J., & Mohamad, M. (2018). Rainfall frequency analysis using LH-moments approach: A case of Kemaman Station, Malaysia. International Journal of Engineering and Technology, 7(2.15), 107-110. https://doi.org/10.14419/ijet.v7i2.15.11363

Received date: April 10, 2018

Accepted date: April 10, 2018

Published date: April 6, 2018

DOI:

https://doi.org/10.14419/ijet.v7i2.15.11363

Keywords:

Frequency analysis, Higher-order statistic, K3D distribution, LH moments, Linear combination.

Abstract

Statistical analysis of extreme events is often carried out to obtain the probability distribution of floods data and then predict the occurrence of floods for a significant return period. L-moments approach is known as the most popular approach in frequency analysis. This paper discusses comparison of the L-moments method with higher order moments (LH-moments) method. LH-moment, a generalization of L-moment, which is proposed based on the linear combinations of higher-order statistics has been used to characterize the upper part of distributions and larger events in flood data. It is observed from a comparative study that the results of the analysis of observed data and the diagram based on the K3D-II distribution using LH-moments method is more efficient and reasonable than the L-moments method for estimating data of the upper part of the distribution events.

 


References

  1. [1] Atiem IA & Harmancio NB (2006), Assessment of regional floods using L-moments approach: The case of the River Nile. Water Resources Management 20, 723–747.

    [2] Bhuyan A, Borah M & Kumar R (2010), Regional flood frequency analysis of north-bank of the river Brahmaputra by using LH-moments. Water Resources Management 24, 1779–1790.

    [3] Greenwood JA, Landwehr JM, Matalas NC & Wallis JR (1979), Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form. Water Resources Research 15, 1049–1054.

    [4] Hosking JR (1994), The four-parameter kappa distribution. IBM Journal of Research and Development 38, 251–258.

    [5] Hosking JRM (1990), L-Moments: Analysis and estimation of distributions using linear combinations of order statistics. Journal of the Royal Statistical Society. Series B (Methodological) 52, 105–124.

    [6] Hosking JR & Wallis JR (2005), Regional frequency analysis: An approach based on L-moments, Cambridge University Press

    [7] Hussain Z & Pasha GR (2009), Regional flood frequency analysis of the seven sites of Punjab, Pakistan, using L-moments. Water Resources Management 23, 1917–1933.

    [8] Jain D & Singh VP (1987), Comparison of some flood frequency distributions using empirical data. In V. P. Singh (Ed.), Hydrologic Frequency Modeling. Dordrecht: Springer, pp. 467–485.

    [9] Karvanen J (2006), Estimation of quantile mixtures via L-moments and trimmed L-moments. Computational Statistics and Data Analysis 51, 947-959.

    [10] Kumar R, Chatterjee C, Kumar S, Lohani AK & Singh RD (2003), Development of regional flood frequency relationships using L-moments for Middle Ganga Plains Subzone 1 (f) of India. Water Resources Management 17, 243–257.

    [11] Kumar R & Chatterjee C (2006), Closure to “Regional flood frequency analysis using L-moments for north Brahmaputra region of India†by Rakesh Kumar and Chandranath Chatterjee. Journal of Hydrologic Engineering 11, 380–382.

    [12] Kumar R, Singh RD & Seth SM (1999), Regional flood formulas for seven subzones of zone 3 of India. Journal of Hydrologic Engineering 4, 240–244.

    [13] Kundu D & Raqab MZ (2005), Generalized Rayleigh distribution: Different methods of estimations. Computational Statistics and Data Analysis 49, 187–200.

    [14] Meshgi A & Khalili D (2009), Comprehensive evaluation of regional flood frequency analysis by L-and LH-moments. I. A re-visit to regional homogeneity. Stochastic Environmental Research and Risk Assessment 23, 119–135.

    [15] Meshgi A & Khalili D (2009), Comprehensive evaluation of regional flood frequency analysis by L-and LH-moments. II. Development of LH-moments parameters for the generalized Pareto and generalized logistic distributions. Stochastic Environmental Research and Risk Assessment 23, 137–152.

    [16] Modarres R (2008), Regional frequency distribution type of low flow in North of Iran by L-moments. Water Resources Management 22, 823–841.

    [17] Murshed M, Park BJ, Jeong BY & Park JS (2009), LH-Moments of some distributions useful in Hydrology. Communications for Statistical Applications and Methods 16, 647–658.

    [18] Parida BP, Kachroo RK & Shrestha DB (1998), Regional flood frequency analysis of Mahi-Sabarmati Basin (Subzone 3-a) using index flood procedure with L-moments. Water Resources Management 12, 1–12.

    [19] Park JS & Kim TY (2007), Fisher information matrix for a four-parameter kappa distribution. Statistics and Probability Letters 77, 1459–1466.

    [20] Park JS, Seo SC & Kim TY (2009), A kappa distribution with a hydrological application. Stochastic Environmental Research and Risk Assessment 23, 579–586.

    [21] Saf B (2009), Regional flood frequency analysis using L-moments for the West Mediterranean region of Turkey. Water Resources Management 23, 531–551.

    [22] Shabri A (2002), Comparisons of the LH Moments and the L Moments. Matematika 18, 33–43.

    [23] Chow VT (1988). Applied hydrology, Tata McGraw-Hill Education.

    [24] Wang QJ (1997), LH moments for statistical analysis of extreme events. Water Resources Research 33, 2841–2848.

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How to Cite

Amani Zakaria, Z., Moath Ali Suleiman, J., & Mohamad, M. (2018). Rainfall frequency analysis using LH-moments approach: A case of Kemaman Station, Malaysia. International Journal of Engineering and Technology, 7(2.15), 107-110. https://doi.org/10.14419/ijet.v7i2.15.11363

Received date: April 10, 2018

Accepted date: April 10, 2018

Published date: April 6, 2018