Multiparametric Statistics

Written By Vadim Ivanovich Serdobolskii
Multiparametric Statistics
  • Publsiher : Elsevier
  • Release : 18 October 2007
  • ISBN : 9780080555928
  • Pages : 334 pages
  • Rating : /5 from reviews
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Download or read book entitled Multiparametric Statistics by author: Vadim Ivanovich Serdobolskii which was release on 18 October 2007 and published by Elsevier with total page 334 pages . This book available in PDF, EPUB and Kindle Format. 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 Statistics

Multiparametric Statistics
  • Author : Vadim Ivanovich Serdobolskii
  • Publisher : Elsevier
  • Release Date : 2007-10-18
  • Total pages : 334
  • ISBN : 9780080555928
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Summary : 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 ...

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
  • Total pages : 123
  • ISBN : 9780080555928
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Summary : 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 ...

Multivariate Statistical Analysis

Multivariate Statistical Analysis
  • Author : V.I. Serdobolskii
  • Publisher : Springer Science & Business Media
  • Release Date : 2000-10-31
  • Total pages : 244
  • ISBN : 9780080555928
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Summary : Multivariate Statistical Analysis...

Probability and Mathematical Statistics

Probability and Mathematical Statistics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1998
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Probability and Mathematical Statistics written by , published by which was released on 1998. Download full Probability and Mathematical Statistics Books now! Available in PDF, ePub and Kindle....

The Annals of Mathematical Statistics

The Annals of Mathematical Statistics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1967
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online The Annals of Mathematical Statistics written by , published by which was released on 1967. Download full The Annals of Mathematical Statistics Books now! Available in PDF, ePub and Kindle....

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An Author and Permuted Title Index to Selected Statistical Journals
  • Author : Brian L. Joiner
  • Publisher : Unknown
  • Release Date : 1970
  • Total pages : 506
  • ISBN : 9780080555928
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Summary : 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....

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Comprehensive Dissertation Index  1861 1972  Mathematics and statistics
  • Author : Xerox University Microfilms
  • Publisher : Unknown
  • Release Date : 1973
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Comprehensive Dissertation Index 1861 1972 Mathematics and statistics written by Xerox University Microfilms, published by which was released on 1973. Download full Comprehensive Dissertation Index 1861 1972 Mathematics and statistics Books now! Available in PDF, ePub and Kindle....

Current Index to Statistics Applications Methods and Theory

Current Index to Statistics  Applications  Methods and Theory
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1995
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Current Index to Statistics Applications Methods and Theory written by , published by which was released on 1995. Download full Current Index to Statistics Applications Methods and Theory Books now! Available in PDF, ePub and Kindle....

Biorheology

Biorheology
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1982
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Biorheology written by , published by which was released on 1982. Download full Biorheology Books now! Available in PDF, ePub and Kindle....

Journal of the American Statistical Association

Journal of the American Statistical Association
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Journal of the American Statistical Association written by , published by which was released on 2008. Download full Journal of the American Statistical Association Books now! Available in PDF, ePub and Kindle....

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
  • Total pages : 263
  • ISBN : 9780080555928
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Summary : 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 ...

Multiparameter Measurements of Non electrical Quantities

Multiparameter Measurements of Non electrical Quantities
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1990
  • Total pages : 103
  • ISBN : 9780080555928
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Summary : Read online Multiparameter Measurements of Non electrical Quantities written by , published by which was released on 1990. Download full Multiparameter Measurements of Non electrical Quantities Books now! Available in PDF, ePub and Kindle....

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Mathematical Statistics
  • Author : Robert Bartoszyński,Jacek Koronacki,Ryszard Zieliński
  • Publisher : Unknown
  • Release Date : 1980
  • Total pages : 376
  • ISBN : 9780080555928
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Summary : Read online Mathematical Statistics written by Robert Bartoszyński,Jacek Koronacki,Ryszard Zieliński, published by which was released on 1980. Download full Mathematical Statistics Books now! Available in PDF, ePub and Kindle....

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Bulletin   Institute of Mathematical Statistics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1989
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Bulletin Institute of Mathematical Statistics written by , published by which was released on 1989. Download full Bulletin Institute of Mathematical Statistics Books now! Available in PDF, ePub and Kindle....

Human Physiology

Human Physiology
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1975
  • Total pages : 212
  • ISBN : 9780080555928
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Summary : Read online Human Physiology written by , published by which was released on 1975. Download full Human Physiology Books now! Available in PDF, ePub and Kindle....