Name: Nonparametric Inference on Manifolds (Institute of Mathematical Statistics Monographs) (en Inglés)
Price: 54720.00 CLP
Availability: InStock
Author: Abhishek Bhattacharya
ISBN: 9781107484313

portada Nonparametric Inference on Manifolds (Institute of Mathematical Statistics Monographs) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Abhishek Bhattacharya

Año

2015

Idioma

Inglés

N° páginas

252

Encuadernación

Tapa Blanda

ISBN13

9781107484313

Categorías

Probabilidad y estadística

Nonparametric Inference on Manifolds (Institute of Mathematical Statistics Monographs) (en Inglés)

Abhishek Bhattacharya (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Nonparametric Inference on Manifolds (Institute of Mathematical Statistics Monographs) (en Inglés)"

This book introduces in a systematic manner a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important and varied applications in medical diagnostics, image analysis, and machine vision. An early chapter of examples establishes the effectiveness of the new methods and demonstrates how they outperform their parametric counterparts. Inference is developed for both intrinsic and extrinsic Fréchet means of probability distributions on manifolds, then applied to shape spaces defined as orbits of landmarks under a Lie group of transformations - in particular, similarity, reflection similarity, affine and projective transformations. In addition, nonparametric Bayesian theory is adapted and extended to manifolds for the purposes of density estimation, regression and classification. Ideal for statisticians who analyze manifold data and wish to develop their own methodology, this book is also of interest to probabilists, mathematicians, computer scientists and morphometricians with mathematical training.