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Estimating RCovers the estimation of R, including the continuity theorem and limit laws for random variables.
Martingales and Brownian MotionExplores martingales, Brownian motion, submartingales, descents monitoring, and convergence theorems with practical examples.
Modes of ConvergenceExplores modes of convergence in probability and statistics, illustrating concepts with examples and discussing the continuity theorem.
Martingale Convergence TheoremsExplores the convergence of martingales under specific conditions and previews upcoming topics on martingale theorems and inequalities.
Properties of Complete SpacesCovers the properties of complete spaces, including completeness, expectations, embeddings, subsets, norms, Holder's inequality, and uniform integrability.