Performance Evaluation of the Robust Discordancy Measure in L-moments Approach

Document Type : Research Paper

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Abstract

Detection of discordant sites in a region is a very important issue in determining the homogeneous
region which has the same statistical distribution. One of the powerful measures for this purpose is
the discordancy measure in the L-moment approach. This measure, which is based on the mean and
covariance of the data of all sites, sometimes cannot identify correctly the discordant sites. In order
to improve this problem, the robust discordancy measure can be used based on the minimum
covariance determinant estimator, which is less sensitive to outlying data. In order to analyze the
regional frequency of droughts in the East Azarbaijan province, the classic and robust discordancy
measures were utilized in this study. The results of two measures showed the superiority of the
robust discordancy measure against the classic one. In addition, after application of the cluster
analysis and the heterogeneity measure, the study area was divided to three sub-regions. Finally, the
results of the goodness-of-fit measure revealed that the Pearson type 3 was the best regional
distribution for all sub-regions.

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References

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Water and Soil Science
Volume 26, 2-2
September 2016
Pages 221-235

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