Multiparametric Statistics

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

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  • Author : Vadim Ivanovich Serdobolskii
  • Publisher : Elsevier
  • Pages : 334 pages
  • ISBN : 9780080555928
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMultiparametric Statistics

Multiparametric Statistics

Multiparametric Statistics
  • Author : Vadim Ivanovich Serdobolskii
  • Publisher : Elsevier
  • Release : 18 October 2007
GET THIS BOOKMultiparametric Statistics

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

Living Without Mathematical Statistics

Living Without Mathematical Statistics
  • Author : Herbert Ruefer
  • Publisher : Springer
  • Release : 28 September 2018
GET THIS BOOKLiving Without Mathematical Statistics

The underlying principles invented and developed by Dr. Genichi Taguchi (1924 - 2012), for the design of experiments or simulation calculations in multi-parameter systems, are today known as Taguchi Method. Due to the great success, it was extended to many other areas. The book explains the basics of this method in as much detail as necessary and as simply and graphically as possible. The author shows how broad the current application spectrum is and for which different tasks it can be used.

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Comprehensive Biomedical Physics
  • Author : Anonim
  • Publisher : Newnes
  • Release : 25 July 2014
GET THIS BOOKComprehensive Biomedical Physics

Comprehensive Biomedical Physics is a new reference work that provides the first point of entry to the literature for all scientists interested in biomedical physics. It is of particularly use for graduate and postgraduate students in the areas of medical biophysics. This Work is indispensable to all serious readers in this interdisciplinary area where physics is applied in medicine and biology. Written by leading scientists who have evaluated and summarized the most important methods, principles, technologies and data within the

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Encyclopedia of Ocean Sciences
  • Author : Anonim
  • Publisher : Academic Press
  • Release : 12 April 2019
GET THIS BOOKEncyclopedia of Ocean Sciences

The oceans cover 70% of the Earth’s surface, and are critical components of Earth’s climate system. This new edition of Encyclopedia of Ocean Sciences summarizes the breadth of knowledge about them, providing revised, up to date entries as well coverage of new topics in the field. New and expanded sections include microbial ecology, high latitude systems and the cryosphere, climate and climate change, hydrothermal and cold seep systems. The structure of the work provides a modern presentation of the

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  • Author : Nancy A. Monteiro-Riviere,C. Lang Tran
  • Publisher : CRC Press
  • Release : 03 March 2014
GET THIS BOOKNanotoxicology

Since the first publication of this book in 2007, the field of nanoscience and nanomedicine continues to grow substantially. This second edition, Nanotoxicology: Progress toward Nanomedicine, enlists internationally recognized experts to document the continuing development and rationale for the safe design of engineered nanomaterials (ENM). This includes new improved characterization endpoints, screening, and detection methods for in vitro and in vivo toxicity testing. These tools also contribute greatly to nanosafety research applied to nanomedicines. Topics include The impacts of nanotechnology on

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  • Author : Anonim
  • Publisher : Newnes
  • Release : 11 June 2013
GET THIS BOOKFood Protected Designation of Origin

Protected designation of origin (PDO) taken together with other geographical indicators, such as protected geographical indication (PGI) and traditional specialty guaranteed (TSG), offer the consumer additional guarantees on the quality and authentication of foods. They are important tools that protect the names of regional foods, such as wines, cheeses, hams, sausages and olives, so that only foods that genuinely originate in a particular region are allowed to be identified as such. The economic value of these regional foods, as well

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  • Author : Joshua A Bittker,Nathan T Ross
  • Publisher : Royal Society of Chemistry
  • Release : 05 December 2016
GET THIS BOOKHigh Throughput Screening Methods

High throughput screening remains a key part of early stage drug and tool compound discovery, and methods and technologies have seen many fundamental improvements and innovations over the past 20 years. This comprehensive book provides a historical survey of the field up to the current state-of-the-art. In addition to the specific methods, this book also considers cultural and organizational questions that represent opportunities for future success. Following thought-provoking foreword and introduction from Professor Stuart Schreiber and the editors, chapters from leading

Elements of Physical Oceanography

Elements of Physical Oceanography
  • Author : John H. Steele,Steve A. Thorpe,Karl K. Turekian
  • Publisher : Academic Press
  • Release : 26 August 2009
GET THIS BOOKElements of Physical Oceanography

Elements of Physical Oceanography is a derivative of the Encyclopedia of Ocean Sciences, 2nd Edition and serves as an important reference on current physical oceanography knowledge and expertise in one convenient and accessible source. Its selection of articles—all written by experts in their field—focuses on ocean physics, air-sea transfers, waves, mixing, ice, and the processes of transfer of properties such as heat, salinity, momentum and dissolved gases, within and into the ocean. Elements of Physical Oceanography serves as

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  • Author : Snait B. Gissis,Ehud Lamm,Ayelet Shavit
  • Publisher : MIT Press
  • Release : 12 January 2018
GET THIS BOOKLandscapes of Collectivity in the Life Sciences

Broad perspective on collectivity in the life sciences, from microorganisms to human consensus, and the theoretical and empirical opportunities and challenges. Many researchers and scholars in the life sciences have become increasingly critical of the traditional methodological focus on the individual. This volume counters such methodological individualism by exploring recent and influential work in the life sciences that utilizes notions of collectivity, sociality, rich interactions, and emergent phenomena as essential explanatory tools to handle numerous persistent scientific questions in the

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Immunity
  • Author : Alfred I. Tauber
  • Publisher : Oxford University Press
  • Release : 02 January 2017
GET THIS BOOKImmunity

Modern immunology traditionally conceives of the immune system as providing defense against pathogens. Alfred I. Tauber criticizes this conception of immunity as too narrow, because it discounts much of the immune system's other normal functions. These include active tolerance of nutritional exchanges with the environment and the stabilization of cooperative relationships with resident micro-organisms. An expanded account extends immunity's functional role from singular 'defense' to broadened discernment of environmental 'exchange.' This ecological perspective has profound theoretical implications, for the

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Water Availability and Management in Mexico
  • Author : Elena María Otazo-Sánchez,Amado Enrique Navarro-Frómeta,Vijay P. Singh
  • Publisher : Springer Nature
  • Release : 28 September 2019
GET THIS BOOKWater Availability and Management in Mexico

This book presents several complex case studies related to water management and planning in the context of pollution, growing demands, and global climate change in Mexico, but which are also relevant for other countries in Latin America. These concerns are of critical importance for policymakers who are coping with multiple conflicting interests. Water availability in Mexico is polarized, with abundant rainfall and large rivers in the south, and desert-like conditions in the north. The central region, which is the most

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Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
  • Author : Alvaro Pardo,Josef Kittler
  • Publisher : Springer
  • Release : 24 October 2015
GET THIS BOOKProgress in Pattern Recognition, Image Analysis, Computer Vision, and Applications

This book constitutes the refereed proceedings of the 20th Iberoamerican Congress on Pattern Recognition, CIARP 2015, held in Montevideo, Uruguay, in November 2015. The 95 papers presented were carefully reviewed and selected from 185 submissions. The papers are organized in topical sections on applications on pattern recognition; biometrics; computer vision; gesture recognition; image classification and retrieval; image coding, processing and analysis; segmentation, analysis of shape and texture; signals analysis and processing; theory of pattern recognition; video analysis, segmentation and tracking.

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  • Author : Andrea Trabocchi
  • Publisher : John Wiley & Sons
  • Release : 17 June 2013
GET THIS BOOKDiversity-Oriented Synthesis

Discover an enhanced synthetic approach to developing andscreening chemical compound libraries Diversity-oriented synthesis is a new paradigm for developinglarge collections of structurally diverse small molecules as probesto investigate biological pathways. This book presents the mosteffective methods in diversity-oriented synthesis for creatingsmall molecule collections. It offers tested and proven strategiesfor developing diversity-oriented synthetic libraries and screeningmethods for identifying ligands. Lastly, it explores some promisingnew applications based on diversity-oriented synthesis that havethe potential to dramatically advance studies in drug discovery andchemical biology.