Generalized Gaussian model

Bazi Y, Bruzzone L, Melgani F (2005) An unsupervised approach based on the generalized Gaussian model to automatic change detection in multitemporal SAR images. IEEE Trans Geosci Remote Sens 43(4) 874-887... 

The diffusion of individual plume elements, according to Gifford (1959) can be deiernnned from the general Gaussian diffusion model. The model is usually in two basic forms, a puff release - appropriate for an accident, and a continuous release for "routine" release or an accident of long duration. 

The two expansions discussed so far appear to be quite different. In the multistate Gaussian model, different functions are centered at different values of AU. In the Gram-Charlier expansion, all terms are centered at (AU)0. The difference, however, is smaller that it appears. In fact, one can express a combination of Gaussian functions in the form of (2.56) taking advantage of the addition theorem for Hermite polynomials [44], Similarly, another, previously proposed representation of Pq(AU) as a r function [45] can also be transformed into the more general form of (2.56). 

Gurtovenko, A. A. and Blumen, A. Generalized Gaussian Structures Models for Polymer Systems with Complex Topologies. Vol. 182, pp. 171-282. 

Simulation methods have been proved to be useful in the study of many different molecular systems, in particular in the case of flexible polymers chains [ 14]. According to the variety of structures and the theoretical difficulties inherent to branched structures, simulation work is a very powerful tool in the study of this type of polymer, and can be applied to the general problems outHned above. Sometimes, this utility is manifested even for behaviors which can be explained with simple theoretical treatments in the case of linear chains. Thus, the description of the theta state of a star chain cannot be performed through the use of the simple Gaussian model. The adequate simulation model and method depend strongly on the particular problem investigated. Some cases require a realistic representation of the atoms in the molecular models [10]. Other cases, however, only require simplified coarse-grained models, where some real mon-... 

The most common performance indicator of a column is a dimensionless, theoretical plate count number, N. This number is also referred to as an efficiency value for the column. There is a tendency to equate the column efficiency value with the quality of a column. However, it is important to remember that the column efficiency is only part of the quality of a column. The calculation of theoretical plates is commonly based on a Gaussian model for peak shape because the chromatographic peak is assumed to result from the spreading of a population of sample molecules resulting in a Gaussian distribution of sample concentrations in the mobile and stationary phases. The general formula for calculating column efficiency is... 

Assume that the conditional probabilities a s s,0l ) are general gaussian distributions and estabhsh the expression for implied by the mulfigaussian models in terms of observed populations Pa s X ) and the parameters (means and variances) associated with the gaussian conditional distributions. Hint see Hummer etal. (1997). 

G. Ayton and G. Patey, A Generalized Gaussian Overlap Model for Fluids of Anisotropic Particles, J. Chem. Phys. 102 (1995) 9040 ... 

Verify that S-Plus 5.1 performs a General Additive Model with Gaussian error Distribution and identity link problem correctly to 3 significant digits... 

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