Regional analysis of maximum rainfall using L-moment and TL-moment: a comparative case study for the north East India

In this study it has been tried to develop a suitable model for maximum rainfall frequency analysis of the North East India using best fit probability distribution. The methods of L-moment have been employed for estimation of five probability distributions, namely Generalized extreme value (GEV), Generalized Logistic (GLO), Pearson type 3 (PE3), 3 parameter Log normal (LN3) and Generalized Pareto (GPA) distributions. The methods TL-moment have been used for estimating the parameters of three probability distributions namely Generalized extreme value (GEV), Generalized Logistic (GLO) and Generalized Pareto (GPA) distributions. PE3 distribution has been selected as the best fit distribution using L-moment and GPA distribution using TL-moment method. Relative root mean square error (RRMSE) and Relative Bias (RBIAS) are employed to compare between the results found from L-moment and TL-moment analysis. It is found that PE3 distribution designated by L-moment method is the most suitable and the best fit distribution for rainfall frequency analysis of the North East India. Also the L-moment method is significantly more efficient than TL-moment.

[1]  Allan H. Seheult,et al.  Trimmed L-moments , 2003, Comput. Stat. Data Anal..

[2]  V. Nguyen,et al.  Selecting a probability distribution for extreme rainfall series in Malaysia. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[3]  M. Braga,et al.  Exploratory Data Analysis , 2018, Encyclopedia of Social Network Analysis and Mining. 2nd Ed..

[4]  D. Watkins,et al.  Regional Rainfall Frequency Analysis for the State of Michigan , 2005 .

[5]  J. Hosking.  L‐Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics , 1990 .

[6]  LQ-Moments for Regional Flood Frequency Analysis: A Case Study for the North-Bank Region of the Brahmaputra River, India , 2011 .

[7]  J. R. Wallis,et al.  Some statistics useful in regional frequency analysis , 1993 .

[8]  Chin-Yu Lee.  Application of Rainfall Frequency Analysis on Studying Rainfall Distribution Characteristics of Chia-Nan Plain Area in Southern Taiwan , 2005 .

[9]  Davar Khalili,et al.  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 , 2009 .

[10]  A. Shabri,et al.  LQ-moments: parameter estimation for kappa distribution , 2010 .

[11]  Munindra Borah,et al.  Statistical analysis of annual maximum rainfall in North-East India: an application of LH-moments , 2011 .

[12]  Q. J. Wang.  LH moments for statistical analysis of extreme events , 1997 .

[13]  P. Pilon,et al.  Regional rainfall distribution for Canada , 1996 .

[14]  LQ-moments: application to the extreme value type I distribution , 2006 .

[15]  D. Khalili,et al.  Comprehensive evaluation of regional flood frequency analysis by L- and LH-moments. I. A re-visit to regional homogeneity , 2009 .

[16]  A. Ogunlela.  Stochastic Analysis of Rainfall Events in Ilorin, Nigeria , 2009 .

[17]  J. R. Wallis,et al.  Regional Frequency Analysis: An Approach Based on L-Moments , 1997 .

[18]  G. S. Mudholkar,et al.  LQ-moments: Analogs of L-moments , 1998 .

[19]  J. R. Wallis,et al.  Probability Weighted Moments: Definition and Relation to Parameters of Several Distributions Expressable in Inverse Form , 1979 .

[20]  Marco Borga,et al.  Regional frequency analysis of extreme precipitation in the eastern Italian Alps and the August 29, 2003 flash flood , 2007 .

[21]  S. Deka,et al.  Distributions of Annual Maximum Rainfall Series of North-East India , 2010 .

[22]  Zalina Mohd. Daud,et al.  Regional analysis of annual maximum rainfall using TL-moments method , 2011 .