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T.P. Hill (1995), "A statistical derivation of the significant-digit law". Statistical Science, 10 4, p. 354-363.
The result is a model for sedimentation, which for c < 0 in the steady state as t → ∞ gives <span class="lh">a statistical derivation of the law of pressure as a function of depth in an isothermal atmosphere.
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A detailed statistical derivation of the comparison method is given in the Supplemental Information.
In this paper, an outline of the PMP estimation techniques is given and the use of data from the Czech gauges is described, the aim being the statistical derivation of the point and area PMP estimates for precipitation duration of 1 to 5 days.
The computed parameters with CTTA include histogram descriptors such as standard deviation, kurtosis, skewness and statistical derivations of uniformity and entropy[ 13 19].
We have provided a significantly expanded statistical derivation and description of the guided filter and its properties in Section 3 and Appendix.
This article is different from [13] in the following respects: (1) We have provided a significantly expanded statistical derivation and description of the guided filter and its properties in Section 3 and Appendix.
See Appendix A for a derivation of Equation (2).
This method allows a more rigorous statistical mechanical derivation of the theoretical grain size distribution for three-dimensional polycrystals, and provides a clearer understanding of the assumptions underlying it, as well as clarification of its predictive limitations.
(2) Statistical thresholding: In a previous study, a derivation of the Otsu's method was applied on individual A-Scans rather than on the B-Scans [ 34], allowing an adaptive treatment of the noise and signal levels of every A-Scan.
We used their findings to perform statistical derivations based on the principle of large deviations [ 49].
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