April 13, 2021

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Multiparametric Statistics

Multiparametric Statistics
Author : Vadim Ivanovich Serdobolskii
Publisher : Elsevier
Release Date : 2007-10-18
Category : Mathematics
Total pages :334
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This monograph presents mathematical theory of statistical models described by the essentially large number of unknown parameters, comparable with sample size but can also be much larger. In this meaning, the proposed theory can be called "essentially multiparametric". It is developed on the basis of the Kolmogorov asymptotic approach in which sample size increases along with the number of unknown parameters. This theory opens a way for solution of central problems of multivariate statistics, which up until now have not been solved. Traditional statistical methods based on the idea of an infinite sampling often break down in the solution of real problems, and, dependent on data, can be inefficient, unstable and even not applicable. In this situation, practical statisticians are forced to use various heuristic methods in the hope the will find a satisfactory solution. Mathematical theory developed in this book presents a regular technique for implementing new, more efficient versions of statistical procedures. Near exact solutions are constructed for a number of concrete multi-dimensional problems: estimation of expectation vectors, regression and discriminant analysis, and for the solution to large systems of empiric linear algebraic equations. It is remarkable that these solutions prove to be not only non-degenerating and always stable, but also near exact within a wide class of populations. In the conventional situation of small dimension and large sample size these new solutions far surpass the classical, commonly used consistent ones. It can be expected in the near future, for the most part, traditional multivariate statistical software will be replaced by the always reliable and more efficient versions of statistical procedures implemented by the technology described in this book. This monograph will be of interest to a variety of specialists working with the theory of statistical methods and its applications. Mathematicians would find new classes of urgent problems to be solved in their own regions. Specialists in applied statistics creating statistical packages will be interested in more efficient methods proposed in the book. Advantages of these methods are obvious: the user is liberated from the permanent uncertainty of possible instability and inefficiency and gets algorithms with unimprovable accuracy and guaranteed for a wide class of distributions. A large community of specialists applying statistical methods to real data will find a number of always stable highly accurate versions of algorithms that will help them to better solve their scientific or economic problems. Students and postgraduates will be interested in this book as it will help them get at the foremost frontier of modern statistical science. - Presents original mathematical investigations and open a new branch of mathematical statistics - Illustrates a technique for developing always stable and efficient versions of multivariate statistical analysis for large-dimensional problems - Describes the most popular methods some near exact solutions; including algorithms of non-degenerating large-dimensional discriminant and regression analysis

Multiparametric Organ Modeling for Shape Statistics and Simulation Procedures

Multiparametric Organ Modeling for Shape Statistics and Simulation Procedures
Author : Juan Carlos Prieto Bernal
Publisher : Unknown
Release Date : 2014
Category :
Total pages :123
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Geometric modeling has been one of the most researched areas in the medical domain. Today, there is not a well established methodology to model the shape of an organ. There are many approaches available and each one of them have different strengths and weaknesses. Most state of the art methods to model shape use surface information only. There is an increasing need for techniques to support volumetric information. Besides shape characterization, a technique to differentiate objects by shape is needed. This requires computing statistics on shape. The current challenge of research in life sciences is to create models to represent the surface, the interior of an object, and give statistical differences based on shape. In this work, we use a technique for shape modeling that is able to model surface and internal features, and is suited to compute shape statistics. Using this technique (s-rep), a procedure to model the human cerebral cortex is proposed. This novel representation offers new possibilities to analyze cortical lesions and compute shape statistics on the cortex. The second part of this work proposes a methodology to parameterize the interior of an object. The method is flexible and can enhance the visual aspect or the description of physical properties of an object. The geometric modeling enhanced with physical parameters is used to produce simulated magnetic resonance images. This image simulation approach is validated by analyzing the behavior and performance of classic segmentation algorithms for real images.

Multivariate Statistical Analysis

Multivariate Statistical Analysis
Author : V.I. Serdobolskii
Publisher : Springer Science & Business Media
Release Date : 2000-10-31
Category : Mathematics
Total pages :244
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Multivariate Statistical Analysis

Probability and Mathematical Statistics

Probability and Mathematical Statistics
Author : Anonim
Publisher : Unknown
Release Date : 1998
Category : Mathematical statistics
Total pages :129
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The Annals of Mathematical Statistics

The Annals of Mathematical Statistics
Author : Anonim
Publisher : Unknown
Release Date : 1967
Category : Mathematical statistics
Total pages :129
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An Author and Permuted Title Index to Selected Statistical Journals

An Author and Permuted Title Index to Selected Statistical Journals
Author : Brian L. Joiner
Publisher : Unknown
Release Date : 1970
Category : Annals of mathematical statistics
Total pages :506
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All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.

Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics

Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics
Author : Xerox University Microfilms
Publisher : Unknown
Release Date : 1973
Category : Dissertations, Academic
Total pages :129
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Current Index to Statistics, Applications, Methods and Theory

Current Index to Statistics, Applications, Methods and Theory
Author : Anonim
Publisher : Unknown
Release Date : 1995
Category : Mathematical statistics
Total pages :129
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Biorheology

Biorheology
Author : Anonim
Publisher : Unknown
Release Date : 1982
Category : Rheology (Biology)
Total pages :129
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Computers and the Representation of Geographical Data

Computers and the Representation of Geographical Data
Author : E. E. Shiryaev
Publisher : John Wiley & Sons Incorporated
Release Date : 1987-05-04
Category : Science
Total pages :263
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Elaborates new methods in cartographic representation for the mapping of geographical data, using the image-perceiving capacities of computers and humans and developing computer techniques to plot, read and analyze maps. The text incorporates a common cartographic language, developed by the author, based on his extensive research and experience in this field. The cartographic language, intelligible to both humans and computers, will facilitate the automatic analysis of maps, producing models and numerical information invaluable to geographers.

Multiparameter Measurements of Non-electrical Quantities

Multiparameter Measurements of Non-electrical Quantities
Author : Anonim
Publisher : Unknown
Release Date : 1990
Category : Electric measurements
Total pages :103
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Journal of the American Statistical Association

Journal of the American Statistical Association
Author : Anonim
Publisher : Unknown
Release Date : 2008
Category : Statistics
Total pages :129
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Human Physiology

Human Physiology
Author : Anonim
Publisher : Unknown
Release Date : 1975
Category : Human physiology
Total pages :129
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Mathematical Statistics

Mathematical Statistics
Author : Robert Bartoszyński,Jacek Koronacki,Ryszard Zieliński
Publisher : Unknown
Release Date : 1980
Category : Mathematical statistics
Total pages :376
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Bulletin - Institute of Mathematical Statistics

Bulletin - Institute of Mathematical Statistics
Author : Anonim
Publisher : Unknown
Release Date : 1989
Category : Mathematical statistics
Total pages :129
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