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Derivation of the probability density function of certain biased samples of coarse riverbed material
Author(s) -
Potter Kenneth W.
Publication year - 1979
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr015i001p00021
Subject(s) - statistics , sample size determination , scaling , mathematics , interval (graph theory) , probability density function , sampling (signal processing) , power function , inverse , sample (material) , statistical physics , soil science , environmental science , mathematical analysis , physics , geometry , combinatorics , optics , detector , thermodynamics
Several commonly used procedures for sampling coarse riverbed material result in samples that are biased toward the larger particles. Kellerhals and Bray (1971) recommend correcting the bias by scaling the sample frequency of each frequency interval by the inverse of the appropriate power of the mean grain size of the interval. If, however, grain size is assumed to be log normally distributed, it is possible to determine the distribution of the biased sample. This provides explicit bias factors for the sample moments.