Centered moment

Skewness and kurtosis can be characterized using familiar formulae, based on 3rd and 4th centered moments. Alternative, outlier-resistant statistics can be based on quantiles (e.g., Helsel and Hirsch 1992 Hoaglin et al. 1983). 

Let H be the histogram of the colors of the input image where H c) denotes the probability that color c occurs in the image. The centered moment is computed as follows ... 

The apparent column HETP, Htot, defined as the ratio of the second centered moment of the elution band to the column length, can be separated into two additive contributions, Htot = ff-kin + th> where Hj-j and Hf/j are the kinetic and the thermodynamic contributions, respectively. The term Hfo is the same for a finite or a very small sample and is equal to the column HETP measiued under analytical conditions. The term is the contribution to band broadening due to the nonlinear behavior of the isotherm. This is only a first order approximation, as we have shown in Chapter 10 (Section 10.2.4). However, this approximation is reasonable [19]. 

It is useful to characterize a set of values that has a tendency to cluster around a centered value by its centered moments of distribution, (the sums of the n integer powers of... 

Mn4N crystallizes with the antiperovskite structure. It is ferrimagnetic (1.2 pB) and forms solid solutions with Cu and Zn [326, 327]. The magnetic structure of Mn4N has been studied with polarized neutrons the moments of the comer Mn atoms are antiparallel to the three face-center moments [328],... 

Regardless of which philosophy is adopted, there remains the nontrivial question as to what values to assign to the various parameters, be they monopole, dipole, or higher moments. In the previous case of molecule-centered moments, these prop-... 

A new steel posttensioned connection was developed for use in self-centering moment-resisting frames. The connection performance was validated through a large-scale experimental program and extensive numerical analyses, including seismic analysis of steel frames equipped with the proposed connection. The main conclusions of this research are ... 

Chou CC, Lai YJ (2009) Post-tensioned self-centering moment connections with beam bottom flange energy dissipators. J Constr Steel Res 65(10-11) 1931-1941... 

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