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

Number theory was Gauss's favorite and he referred to number theory as the “Queen Nobody is sure which method of summing an arithmetic sequence Gauss figured out as a child. Geometrical ideas from a statistical point of view, using statistical examples as opposed to, for example, dynamical examples to illustrate the geometric concepts. Too many to mention specifically, Gauss made groundbreaking contributions in Number Theory, Differential Geometry, Statistics, the Method of Least Squares, Complex Analysis and non-Euclidean Geometry. 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. This book is suitable for graduate students in mathematics, statistics, engineering and computer science who have taken a graduate course in asymptotic statistics and differential geometry. The developed methods are applied to manifolds of special interest such as spheres, projective spaces and spaces of various notions of shapes such as similarity shapes, reflection similarity shapes, affine shapes and projective shapes. "This book does an excellent job of explaining. 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 . -Short Book Reviews of the ISI "It is particularly good on the problem of when to use coordinates and indices, and when to use the more geometric coordinate-free methods. He went on to publish seminal works in many fields of mathematics including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy, optics etc. Tags:Differential Geometrical Methods in Statistics (Lecture notes in statistics), tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve.