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Titlebook: Applications of Linear and Nonlinear Models; Fixed Effects, Rando Erik Grafarend,Joseph Awange Book 20121st edition Springer-Verlag Berlin

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978-3-662-50813-8Springer-Verlag Berlin Heidelberg 2012
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https://doi.org/10.1007/978-3-642-22241-2BLUUE; Fixed effects; Geodesy; LESS; Linear Models; Nonlinear Models; Random effects; Statistics; Total leas
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The First Problem of Algebraic Regression,This is an elementary presentation of the arithmetic of trees. We show how it is related to the Tamari poset. In the last part we investigate various ways of realizing this poset as a polytope (associahedron), including one inferred from Tamari’s thesis.
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The Fourth Problem of Probabilistic Regression,The . as a special Gauss-Markov model with random effects is an extension of the classical .: both effect, namely the vector . of . as well as the vector of the .. (derived from the German “.”) are random. Box 1 is a review of the model.
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The Fifth Problem of Algebraic Regression: The System of Conditional Equations: Homogeneous and Inh. in its linear form are a standard topic in Geodetic Sciences. We mention for . (1907) and . (1986).
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The Fifth Problem of Probabilistic Regression,We define the fifth . by the . including fixed effects as well as random effect, namely by . + .E{.} + . = E{.} together with variance-covariance matrices . and . being unknown as well as ., E{.}, and E{.}, .. It is the standard model of ..
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