Nonparametric inference on manifolds : (Record no. 517855)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03278nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9781139094764 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160234.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110607s2012||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781139094764 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781107019584 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781107484313 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA278.8 |
| Item number | .B52 2012 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.5 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bhattacharya, Abhishek, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Nonparametric inference on manifolds : |
| Remainder of title | with applications to shape spaces / |
| Statement of responsibility, etc | Abhishek Bhattacharya, Rabi Bhattacharya. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 237 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Institute of Mathematical Statistics monographs ; |
| Volume number/sequential designation | 2 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Examples -- Location and spread on metric spaces -- Extrinsic analysis on manifolds -- Intrinsic analysis on manifolds -- Landmark-based shape spaces -- Kendall's similarity shape spaces [characters omitted] -- The planar shape space [characters omitted] -- Reflection similarity shape spaces R[characters omitted] -- Stiefel manifolds V[characters omitted] -- Affine shape spaces A[characters omitted] -- Real projective spaces and projective shape spaces -- Nonparametric Bayes inference on manifolds -- Nonparametric Bayes regression, classification and hypothesis testing on manifolds -- Appendixes: A. Differentiable manifolds -- B. Riemannian manifolds -- C. Dirichlet processes -- D. Parametric models on S[character omitted] and [characters omitted]. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Nonparametric statistics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Manifolds (Mathematics) |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bhattacharya, R. N. |
| Fuller form of name | (Rabindra Nath), |
| Dates associated with a name | 1937- |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9781107019584 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Institute of Mathematical Statistics monographs ; |
| Volume number/sequential designation | 2. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9781139094764">https://doi.org/10.1017/CBO9781139094764</a> |
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