journal article Oct 01, 1979

Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form

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Abstract
Distributions whose inverse forms are explicitly defined, such as Tukey's lambda, may present problems in deriving their parameters by more conventional means. Probability weighted moments are introduced and shown to be potentially useful in expressing the parameters of these distributions.
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References
12
[1]
Houghton J. C. Robust estimation of the frequency of extreme events in a flood frequency context Ph.D. dissertation Harvard Univ. Cambridge Mass. 1977.
[4]
Johnson N. L. S.Kotz Continuous Univariate Distributions 1 and 2 John Wiley New York 1970.
[5]
Joiner B. L. "Some properties of the range in samples from Tukey's symmetric lambda distributions" J. Amer. Statist. Ass. (1971) 10.1080/01621459.1971.10482275
[11]
Tukey J. W. The practical relationship between the common transformations of percentages or fractions and of amountsTech. Rep. 36Statist. Tech. Res. Group Princeton Univ. Princeton N. J. 1960.
[12]
Tukey J. W. The future of data analysis Ann. Math. Statist. 33 1–67 March1962. 10.1214/aoms/1177704711
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970
Citations
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References
Details
Published
Oct 01, 1979
Vol/Issue
15(5)
Pages
1049-1054
License
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Cite This Article
J. Arthur Greenwood, J. Maciunas Landwehr, N. C. Matalas, et al. (1979). Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form. Water Resources Research, 15(5), 1049-1054. https://doi.org/10.1029/wr015i005p01049