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Titlebook: Nonlinear Statistical Models; Andrej Pázman Book 1993 Andrej Pázman 1993 Estimator.Moment.Parameter.linear regression.probability

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rs and chains of atoms exhibit many molecular characteristics, while most of what we have to say applies to chemical bonds in “three-dimensional” solids. The cases of layers, chains, and surfaces are special and are treated as such elsewhere in these volumes.
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Andrej Pázman electronic properties of the solid), the energy of the orbitals (surface state energy) and whether they donate or accept electrons is of first importance. But it is also important to know what surface states will result when these energy levels are altered by reconstruction or by foreign species adsorbing and interacting with the surface sites.
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https://doi.org/10.1007/978-94-017-2450-0Estimator; Moment; Parameter; linear regression; probability
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The structure of a multivariate nonlinear regression model and properties of ,, estimators,The nonlinear regression model.considered in this chapter is multivariate, i.e. the vector of unknown parameters.is multidimensional. It is assumed that . ∈ Θ, and that the (known) parameter space Θ is a subset of .. such that
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Local approximations of probability densities and moments of estimators,Let us consider the nonlinear regression model with uncorrelated observations..
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Global approximations of densities of ,, estimators,We consider again the nonlinear regression model.which is assumed to be regular. As before, by . we denote the true value of ϑ. In Section 7.1 we consider exclusively the estimator .., which we briefly denote by the symbol 19..
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Statistical consequences of global approximations especially in flat models,As in previous chapters, here we consider the regular nonlinear model.but the mapping . (·) will be assumed to be three times continuously differentiable on int (Θ).
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