caa a22 4500 467922306 CHVBK 20180406152920.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s00477-006-0033-x doi (NATIONALLICENCE)springer-10.1007/s00477-006-0033-x Relationships between three dispersion measures used in flood frequency analysis [Elektronische Daten] [I. Markiewicz, W. Strupczewski, K. Kochanek, V. Singh] Three dispersion measures of a random variable, i.e., the standard deviation, the mean deviation (MD) about the mean and the second L-moment, are analyzed in terms of their properties and mutual relationships. Emphasis is placed on the MD, as it is less recognized than two other dispersion measures. The relationships between the dispersion measures are derived for distributions commonly applied in flood frequency analysis (FFA). For distributions that are unbounded, there is a distribution-dependent constant value of the ratio of dispersion measures, or equivalently of respective coefficients of variation. For two-parameter distributions that are lower-bounded, the relationship between the coefficients of variation is also distribution dependent and is not linear. For lower-bounded three-parameter distributions, the dispersion measure ratios, or equivalently the ratios of coefficients of variation, depend on the coefficient of skewness and show a strong distributional dependence. For selected distributions, the three dispersion measures are compared both in terms of the robustness to the largest samples element and the accuracy of upper quantile estimation. The MD statistics may be highly competitive to the two other dispersion measure statistics if applied in FFA for parameters estimation. Springer-Verlag, 2006 Dispersion measures nationallicence Standard deviation nationallicence Mean deviation nationallicence Second L- moment nationallicence Skewness nationallicence Markiewicz I. Water Resources Department, Institute of Geophysics, Polish Academy of Sciences, Ksiecia Janusza 64, 01-452, Warsaw, Poland aut Strupczewski W. Water Resources Department, Institute of Geophysics, Polish Academy of Sciences, Ksiecia Janusza 64, 01-452, Warsaw, Poland aut Kochanek K. Water Resources Department, Institute of Geophysics, Polish Academy of Sciences, Ksiecia Janusza 64, 01-452, Warsaw, Poland aut Singh V. Department of Civil and Environmental Engineering, Louisiana State University, 70803-6405, Baton Rouge, Louisiana, USA aut Stochastic Environmental Research and Risk Assessment Springer-Verlag 20/6(2006-09-01), 391-405 1436-3240 20:6<391 2006 20 477 https://doi.org/10.1007/s00477-006-0033-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00477-006-0033-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Markiewicz I. Water Resources Department, Institute of Geophysics, Polish Academy of Sciences, Ksiecia Janusza 64, 01-452, Warsaw, Poland aut NATIONALLICENCE 700 1- Strupczewski W. Water Resources Department, Institute of Geophysics, Polish Academy of Sciences, Ksiecia Janusza 64, 01-452, Warsaw, Poland aut NATIONALLICENCE 700 1- Kochanek K. Water Resources Department, Institute of Geophysics, Polish Academy of Sciences, Ksiecia Janusza 64, 01-452, Warsaw, Poland aut NATIONALLICENCE 700 1- Singh V. Department of Civil and Environmental Engineering, Louisiana State University, 70803-6405, Baton Rouge, Louisiana, USA aut NATIONALLICENCE 773 0- Stochastic Environmental Research and Risk Assessment Springer-Verlag 20/6(2006-09-01), 391-405 1436-3240 20:6<391 2006 20 477 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer