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Differential-geometrical methods in statistics Amari S.
Publisher: Springer

Download Differential-geometrical methods in statistics. Differential-geometrical methods in statistics. Starting from an undergraduate level, this book systematically develops the basics of• Calculus on manifolds, vector bundles, vector fields and differential forms,• Lie groups and Lie group actions,• Linear symplectic algebra and and geometry for theoretical physicists; Prepares the reader to access the research literature in Hamiltonian mechanics and related areas; Complete account to Marsden-Weinstein reduction, including the singular case; Detailed examples for all methods. Inverse Functions; Techniques of Integration; Further Applications of Integration; Differential Equations; Parametric Equations and Polar Coordinates; Infinite Sequences and Series are many more math classes in the undergraduate program to take, such as History of Mathematics, Boundary Value Problems, Partial Differential Equations, Probability and Statistics II, Numerical Analysis II, Enumeration, Euclidean and Non-Euclidean Geometry and Graph Theory. Differential-geometrical methods in statistics Amari S. If you're used to taking arguments involving infinitesimal changes and translating them into calculus (or differential geometry), it should make sense. I find the chapters by Raymond Streater especially congenial. It's easy to make it more rigorous, but only at the cost of Paolo Gibilisco, Eva Riccomagno, Maria Piera Rogantin and Henry P. Wynn, Algebraic and Geometric Methods in Statistics, Cambridge U. Equation (7) is actually Black & Scholes' (1973) differential equation, and must be satisfied by derivatives dependant on any asset-object that follows a Geometric Brownian motion. As the Monte Carlo simulation (MCS) works on uncertain situations in order to determine expected values for unknown variables, it may be defined as a method for statistical tests in which the values are established through random selection, where the likeliness of choosing a certain result among all the .