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NOTESFORQUANTITATIVEMETHODS

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NOTES FOR QUANTITATIVE METHODS:SOME ADVANCED MATHEMATICS FROM AN ELEMENTARY POINT OF VIEWMAXWELL B. STINCHCOMBEContents0. Organizational Stu 41. Some Basics About Numbers and Lengths and Why we want Valuing sequences of Convex Self-guided tour to di erentiability and concavity112. Some Basic Results in Metric Probability distributions as cdf' Compactness and the existence of The Theorem of the The Separating Hyperplane Problems203. Dynamic Programming, Deterministic and Compactness and continuity in spaces of Deterministic Dynamic Stochastic Dynamic Problems254.

QUANTITATIVE METHODS 3 11.1. MeanSquaredError(MSE) 61 11.2. Desirablepropertiesforestimators 62 11.3. TheCram er-Raolowerbound 62 11.4. Problems 62

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