Statistical parameters mean localization

The fitting process worked sufficiently stably, which means that the set of susceptibilities as a function of its magnetic and statistical parameters does not have too many local minima. So, the sets of values presented in the first two lines... 

The province of conventional dielectric measurements is here taken to be the determination of the relations of the polarization E and current density J. to the electric field in the macroscopic Maxwell equations. Proper theory should account for these relations in condensed phases as a function of state variables time dependence of applied fields and molecular parameters by appropriate statistical averaging over molecular displacements determined by the equations of motion in terms of molecular forces and fields. Simplifying assumptions and approximations are of course necessary. One kind often made and debated is use of an effective or mean local field at a molecule rather than the sum of microscopic... 

So far we have discussed the specific behavior of fluctuations of the order parameter at fixed temperature and density. There are also fluctuations of the temperature and the local quark density. They are statistically independent quantities [19], < 5T5pq >= 0, and their mean squares are... 

Tests 1 and 2 determine the true model adequacy test 3 can only yield the best model. Applying the above statistics to models that are nonlinear in the parameters requires the model to be locally linear. For the particular application considered here, this means that the residual mean square distribution is approximated to a reasonable extent by the distribution. Furthermore, care has to be taken for outliers, since appears to be rather sensitive to departures of the data from normality. In Example 2.7.1.1.A, given below, this was taken care of by starting the elimination from scratch again after each experiment. Finally, the theory requires the variance estimates that are tested on homogeneity to be statistically independent. It is hard to say to what extent this restriction is fulfilled. From the examples given, which have a widely different character, it would seem that the procedure is efficient and reliable. 

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