Last edited by Akishura
Wednesday, May 6, 2020 | History

10 edition of The statistical theory of shape found in the catalog.

The statistical theory of shape

by Christopher G. Small

  • 282 Want to read
  • 28 Currently reading

Published by Springer in New York .
Written in English

    Subjects:
  • Geometry, Differential,
  • Shape theory (Topology) -- Statistical methods

  • Edition Notes

    Includes bibliographical references (p. [201]-215) and index.

    StatementChristopher G. Small.
    SeriesSpringer series in statistics
    Classifications
    LC ClassificationsQA649 .S57 1996
    The Physical Object
    Paginationx, 227 p. :
    Number of Pages227
    ID Numbers
    Open LibraryOL976469M
    ISBN 100387947299
    LC Control Number96013587

    - Buy An Outline of Statistical Theory: Volume 2 book online at best prices in India on Read An Outline of Statistical Theory: Volume 2 book reviews & author details and more at Free delivery on qualified orders/5(5). In section 5 we contrast the statistical and theory information. In a nutshell, the theoretical model is formulated in terms of the behavior of economic agents and the statistical model is formulated exclusively in terms of probabilistic con-cepts;a sizeable part of the book is concerned with the question of:What constitutes sta-Cited by:

    Statistical theory is the basis for the techniques in study design and data analysis. It covers approaches to statistical decision-making and statistics inference. It gives ways of comparing statistical procedures. Statistical theory is based on mathematical statistics.   Constrained Statistical Inference: Order, Inequality, and Shape Constraints provides a unified and up-to-date treatment of the methodology. It clearly illustrates concepts with practical examples from a variety of fields, focusing on sociology, econometrics, and biostatistics.

    This book on mathematical statistics assumes a certain amount of back-ground in mathematics. Followingthe final chapter on mathematical statistics Chapter 8, there is Chapter 0 on “statistical mathematics” (that is, mathe-matics with strong relevance to statistical theory) that provides much of .   Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by .


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The statistical theory of shape by Christopher G. Small Download PDF EPUB FB2

Shape and Shape Theory D. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer.

This book provides a comprehensive coverage of the statistical theory of shape. The shape of a data set can be defined as the total of all information invariant under translations, rotations, and scale changes to the data.

Over the last decade, shape analysis has emerged as a promising new field of statistics with applications to morphometrics Cited by: Despite this synthesis of disciplines, there are several different schools of statistical shape analysis. One of these, the Kendall school of shape analysis, uses a variety of mathe­ matical tools from differential geometry and probability, and is the subject of this book.

This book is an update to the first edition (ISBN ), which featured less of a focus on R. "Statistical Shape Analysis" concentrates on landmarks (significant points defining a shape, especially along its perimeter, such as corners) and invariant shape and shape The statistical theory of shape book representations/5(6).

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

Statistics in U.S. universities in and the establishment of the Statistical Laboratory at Iowa State David, Herbert A., Statistical Science, The Riemannian Structure of Euclidean Shape Spaces: A Novel Environment for Statistics Le, Huiling and Kendall, David G., Annals of.

THE STATISTICAL THEORY OF SHAPE 89 Much of the work covered by the present survey is still unpublished. It is intended to give a comprehen-sive account in the book by Carne, Kendall and Le now in preparation. - 2. FINDING L HOME FOR SHAPES It was Broadbent's work on the 52 Land's End.

Applications of statistical shape and deformation analysis are given for a wide variety of fields, including biometry, anthropology, medical image analysis and clinical practice.

Key Features Presents an accessible introduction to the basic concepts, methods, algorithms and techniques in statistical shape and deformation analysis.

PDF | On Feb 1,David J Olive and others published A Course in Statistical Theory | Find, read and cite all the research you need on ResearchGate. Before we delve into the details of the statistical theory of estimation and hypothesis testing, we will present a simple example which will serve to illustrate several aspects of the theory.

An Introductory Example I have a hot{air popcorn popper which I have been using a lot lately. It is aFile Size: KB. This course is for upper-level graduate students who are planning careers in computational neuroscience.

This course focuses on the problem of supervised learning from the perspective of modern statistical learning theory starting with the theory of multivariate function approximation from sparse data.

It develops basic tools such as Regularization including Support Vector. Christopher G. Small, The Statistical Theory of Shape, • Most straightforward method for a newcomer to shape analysis.

• Experienced shape analysts often use Bookstein coordinates in the first stages of an analysis. Bookstein Coordinates. More General: Equivalence Relationships. In this paper, we will study the statistical theory of shape for ordered finite point configurations, or otherwise stated, the uncertainty of geometric invariants.

A general approach for defining shape and finding its density, expressed in the densities for the individual points, is by: 7. Claudia Lindner, in Statistical Shape and Deformation Analysis, Statistical Shape Models. Statistical Shape Models (SSMs) 2 are commonly used to study the morphometrics of a deformable object.

They describe the shape of the object by applying PCA to a set of landmark points, and are based on the assumption that each shape is a deformed version of a reference. Statistical shape analysis is an analysis of the geometrical properties of some given set of shapes by statistical methods.

For instance, it could be used to quantify differences between male and female gorilla skull shapes, normal and pathological bone shapes, leaf outlines with and without herbivory by insects, etc.

Important aspects of shape analysis are to obtain a measure of. This book is a significant update of the highly-regarded 'Statistical Shape Analysis’ by the same authors.

The new edition lays the foundations of landmark shape analysis, including geometrical concepts and statistical techniques, and extends to include analysis of curves, surfaces, images and other types of object : $ Frankly, I don't think the law of large numbers has a huge role in industry.

It is helpful to understand the asymptotic justifications of the common procedures, such as maximum likelihood estimates and tests (including the omniimportant GLMs and logistic regression, in particular), the bootstrap, but these are distributional issues rather than probability of hitting a bad sample.

Statistical Theory and Methods. Featured journals see all. Metrika. Journal of Classification Advances in Data Analysis and Classification. Statistical Inference for Stochastic Processes.

Psychometrika. Featured books see all. Advanced Studies in Behaviormetrics and Data Science. Imaizumi, T. (et al.) (Eds.) () Featured book series. There are many variations on what one may regard as statistical shape, depending on the application in mind.

The focus of this chapter is the statistical analysis of the shapes determined by finite sequences of points in a Euclidean space. We shall draw together a range of ideas from statistical shape theory, including distributions, diffusions, estimations and computations.

The Statistical Theory of Shape | In general terms, the shape of an object, data set, or image can be de- fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings.

Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. This book provides a comprehensive coverage of the statistical theory of shape. The shape of a data set can be defined as the total of all information invariant under translations, rotations, and scale changes to the data.

Over the last decade, shape analysis has emerged as a promising new field of statistics with applications to morphometrics Format: Kindle.Statistical Theory Prof. Gesine Reinert Novem Aim: To review and extend the main ideas in Statistical Inference, both from a frequentist viewpoint and from a Bayesian viewpoint.

This course serves not only as background to other courses, but also it will provide aFile Size: KB.In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in interest in the statis­ tical theory of shape.

This has been the result of a synthesis of a number of different areas and a recognition that there is considerable common ground among these areas in their.