# L-Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics

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##### Citations

5,088 citations

### Cites methods from "L-Moments: Analysis and Estimation ..."

...For this purpose, L-moment ratio diagrams were used because they allow for comparison of the empirical frequency distribution of D series computed at different time scales with a number of theoretical distributions (Hosking 1990)....

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...The PWMs of order s are calculated as w s 5 1 N N i51 (1 F i )sD i , where Fi is a frequency estimator calculated following the approach of Hosking (1990): F i 5 i 0.35 N , where i is the range of observations arranged in increasing order and N is the number of data points....

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3,494 citations

2,359 citations

1,458 citations

### Cites background from "L-Moments: Analysis and Estimation ..."

...Hosking [40] discussed more generally the advantages of PWM over ML....

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..., linear combinations of ‘‘L-moments’’, the term that commonly appears in the hydrology literature) also has a well-established tradition in hydrology [40]....

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...Probability weighted moments (PWM) (or L-moments) are more popular than ML in applications to hydrologic extremes, both because of their computational simplicity and because of their good performance for small samples [40,43]....

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1,083 citations

### Cites methods from "L-Moments: Analysis and Estimation ..."

...Originally, Hosking (1990) proposed use of Probability Weighted Moments (PWMs) based on the plotting position method....

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##### References

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