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Multiparametric Statistics

Multiparametric Statistics Book
Author : Vadim Ivanovich Serdobolskii
Publisher : Elsevier
Release : 2007-10-18
ISBN : 9780080555928
Language : En, Es, Fr & De

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Book Description :

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

Studyguide for Multiparametric Statistics by Serdobolskii Vadim Ivanovich

Studyguide for Multiparametric Statistics by Serdobolskii  Vadim Ivanovich Book
Author : Cram101 Textbook Reviews
Publisher : Cram101
Release : 2013-05
ISBN : 9781478490623
Language : En, Es, Fr & De

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Book Description :

Never HIGHLIGHT a Book Again Virtually all testable terms, concepts, persons, places, and events are included. Cram101 Textbook Outlines gives all of the outlines, highlights, notes for your textbook with optional online practice tests. Only Cram101 Outlines are Textbook Specific. Cram101 is NOT the Textbook. Accompanys: 9780521673761

Studyguide for Multiparametric Statistics by Vadim Ivanovich Serdobolskii Isbn 9780444530493

Studyguide for Multiparametric Statistics by Vadim Ivanovich Serdobolskii  Isbn 9780444530493 Book
Author : Cram101 Textbook Reviews
Publisher : Cram101
Release : 2011-10
ISBN : 9781467270748
Language : En, Es, Fr & De

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Book Description :

Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780444530493 .

Multiparametric Organ Modeling for Shape Statistics and Simulation Procedures

Multiparametric Organ Modeling for Shape Statistics and Simulation Procedures Book
Author : Juan Carlos Prieto Bernal
Publisher : Unknown
Release : 2014
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Annals of Oncology

Annals of Oncology Book
Author : European Society for Medical Oncology
Publisher : Springer
Release : 2013-12-14
ISBN : 1489973052
Language : En, Es, Fr & De

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Book Description :

Download Annals of Oncology book written by European Society for Medical Oncology, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Living Without Mathematical Statistics

Living Without Mathematical Statistics Book
Author : Herbert Ruefer
Publisher : Springer
Release : 2018-09-28
ISBN : 3319996320
Language : En, Es, Fr & De

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Book Description :

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. The application examples range from optimizing a fermentation process in biotechnology to minimizing costs in mechanical production and maintaining and improving competitiveness in industrial production. The processes described are ideally suited to finding reliable and precise solutions for a wide variety of problems relatively quickly. A real competitive advantage not only in research but also for companies that want to remain competitive in international business competition. Contents Part 1: Analysis of Variables Part 2: Pattern Recognition and Diagnosis Part 3: Prognosis Target groups Students, scientists, engineers or those responsible for development and products learn to use the Taguchi Method with this book - even without any previous mathematical-statistical knowledge. The author Herbert Ruefer studied physics and obtained his doctorate at the Technical University Karlsruhe, Germany. After a research stay at IBM, San Jose, California, he taught at the San Marcos National University in Lima, Peru. He then took on research, development, and training tasks in the chemical industry in Germany. During this time, the first personal contacts with Dr. Genichi Taguchi and Dr. Yuin Wu took place. After his active professional life, he dedicated himself to special optical methods for astronomical observations. He also lectures at the Universidad Nacional Mayor de San Marcos which awarded him an honorary doctorate in 2017.

Encyclopedia of Ocean Sciences

Encyclopedia of Ocean Sciences Book
Author : Anonim
Publisher : Academic Press
Release : 2019-04-12
ISBN : 0128130822
Language : En, Es, Fr & De

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Book Description :

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 field, reflecting the input and different perspective of chemical, physical and biological oceanography, the specialized area of expertise of each of the three Editors-in-Chief. In this framework maximum attention has been devoted to making this an organic and unified reference. Represents a one-stop. organic information resource on the breadth of ocean science research Reflects the input and different perspective of chemical, physical and biological oceanography, the specialized area of expertise of each of the three Editors-in-Chief New and expanded sections include microbial ecology, high latitude systems and climate change Provides scientifically reliable information at a foundational level, making this work a resource for students as well as active researches

Probability Theory and Mathematical Statistics Vol 2

Probability Theory and Mathematical Statistics  Vol  2 Book
Author : Anonim
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2020-05-26
ISBN : 3112313984
Language : En, Es, Fr & De

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Book Description :

Download Probability Theory and Mathematical Statistics Vol 2 book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Food Protected Designation of Origin

Food Protected Designation of Origin Book
Author : Anonim
Publisher : Newnes
Release : 2013-06-11
ISBN : 0444595724
Language : En, Es, Fr & De

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Book Description :

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 as the increased interest from consumers and the food industry about the traceability and origin of food, mean that it has become necessary to establish methods for PDO and PGI authentication based on the specific characteristics and chemical markers of these kinds of products. This book offers a complete guide of the methods available to authenticate food PDO, beginning with an explanation of the analytical and chemometric methods available for PDO authentication, before looking at the main foods covered, PGI labels and the social and legal framework for food PGIs. It will be of interest to people engaged in the fields of food production, commercialization and consumption, as well as policymakers and control laboratories. Offers a complete guide to the methods available for food Protected Designation of Origin (PDO) authentication Explains the analytical and chemometric methods Focuses on the various food products covered by authentication labels

Mathematical Theory of Statistics

Mathematical Theory of Statistics Book
Author : Helmut Strasser
Publisher : Walter de Gruyter
Release : 1985
ISBN : 9783110102581
Language : En, Es, Fr & De

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Book Description :

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antić, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Elements of Physical Oceanography

Elements of Physical Oceanography Book
Author : John H. Steele,Steve A. Thorpe,Karl K. Turekian
Publisher : Academic Press
Release : 2009-08-26
ISBN : 0123757258
Language : En, Es, Fr & De

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Book Description :

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 an ideal reference for topical research. References related articles in physical oceanography to facilitate further research Richly illustrated with figures and tables that aid in understanding key concepts Includes an introductory overview and then explores each topic in detail, making it useful to experts and graduate-level researchers Topical arrangement makes it the perfect desk reference

Topics in Advanced Statistics

Topics in Advanced Statistics Book
Author : Giuseppe Schinaia
Publisher : Universitas Studiorum
Release : 2014-10-01
ISBN : 8897683657
Language : En, Es, Fr & De

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Book Description :

The book contains a simple presentation of the basic principles of what is usually called mathematical statistics. However, only relevant results are followed by their proofs and, even then, the underlying mathematics only requires a basic knowledge of calculus, as measure-theoretical issues have been carefully avoided. The reader is to be acquainted with some probability theory, whose basic principles are summarized in appendix A, while appendices B and C present an overview of probability distributions and asymptotic theory. As a “side dish” I thought it worthwhile to include a chapter on some simple non-parametric techniques, as they provide a useful, first insight into what I consider “independent thinking” in statistics and, therefore, a good start to develop quantitative reasoning, which should be the ultimate goal of statistics teaching and learning.

Introduction to the Science of Medical Imaging

Introduction to the Science of Medical Imaging Book
Author : R. Nick Bryan
Publisher : Cambridge University Press
Release : 2009-11-19
ISBN : 0521747627
Language : En, Es, Fr & De

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Book Description :

This landmark text from world-leading radiologist describes and illustrates how imaging techniques are created, analyzed and applied to biomedical problems.

Landscapes of Collectivity in the Life Sciences

Landscapes of Collectivity in the Life Sciences Book
Author : Snait B. Gissis,Ehud Lamm,Ayelet Shavit
Publisher : MIT Press
Release : 2018-01-12
ISBN : 0262342669
Language : En, Es, Fr & De

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Book Description :

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 life sciences. The contributors consider case studies of collectivity that range from microorganisms to human consensus, discussing theoretical and empirical challenges and the innovative methods and solutions scientists have devised. The contributors offer historical, philosophical, and biological perspectives on collectivity, and describe collective phenomena seen in insects, the immune system, communication, and human collectivity, with examples ranging from cooperative transport in the longhorn crazy ant to the evolution of autobiographical memory. They examine ways of explaining collectivity, including case studies and modeling approaches, and explore collectivity's explanatory power. They present a comprehensive look at a specific case of collectivity: the Holobiont notion (the idea of a multi-species collective, a host and diverse microorganisms) and the hologenome theory (which posits that the holobiont and its hologenome are a unit of adaption). The volume concludes with reflections on the work of the late physicist Eshel Ben-Jacob, pioneer in the study of collective phenomena in living systems. Contributors Oren Bader, John Beatty, Dinah R. Davison, Daniel Dor, Ofer Feinerman, Raghavendra Gadagkar, Scott F. Gilbert, Snait B. Gissis, Deborah M. Gordon, James Griesemer, Zachariah I. Grochau-Wright, Erik R. Hanschen, Eva Jablonka, Mohit Kumar Jolly, Anat Kolumbus, Ehud Lamm, Herbert Levine, Arnon Levy, Xue-Fei Li, Elisabeth A. Lloyd, Yael Lubin, Eva Maria Luef, Ehud Meron, Richard E. Michod, Samir Okasha, Simone Pika, Joan Roughgarden, Eugene Rosenberg, Ayelet Shavit, Yael Silver, Alfred I. Tauber, Ilana Zilber-Rosenberg

Immunity

Immunity Book
Author : Alfred I. Tauber
Publisher : Oxford University Press
Release : 2017-01-02
ISBN : 0190651253
Language : En, Es, Fr & De

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Book Description :

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 basic notion of immune identity is reconfigured: highlighting the organism as a holobiont (a consortium of diverse organisms living in cooperative relationships) challenges prevailing concepts of individuality and the self/nonself dichotomy heretofore organizing immune theory. Indeed, if theoretical interest is focused on the challenges of maintaining immune balance in the full ecological context of the organism, then immune regulation assumes new complexity. Tauber maintains that the key to unravelling that puzzle requires a critical re-assessment of the cognitive processes that underlie immune effector functions. Accordingly, he provides the outline of a re-formulated 'cognitive paradigm' that dispenses with agent-based models and adopts an ecologically conceived understanding of perception and information processing. The implications of this revised configuration of immunity and its deconstructed notions of individuality and selfhood have wide significance for philosophers and life scientists working in immunology, ecology, and the cognitive sciences.

Mathematical Statistics

Mathematical Statistics Book
Author : Dieter Rasch,Dieter Schott
Publisher : John Wiley & Sons
Release : 2018-03-19
ISBN : 1119385288
Language : En, Es, Fr & De

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Book Description :

This book requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables) which is typically taught in the earlier semesters of scientific and mathematical study courses. After the basic ideas of mathematical statistics, Mathematical Statistics gives an introduction to point estimation, confidence intervals and statistical tests. Based on the general theory of linear models, the book provides an in-depth overview of the following: Analysis of variance for models with fixed, random and mixed effects Regression analysis is also first presented for linear models with fixed, random and mixed effects before being expanded to nonlinear models. Statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests Design of experiments from a mathematical-statistical point of view. The chapters also contain exercises with hints for solutions.

Uncertainty aware Integration of Control with Process Operations and Multi parametric Programming Under Global Uncertainty

Uncertainty aware Integration of Control with Process Operations and Multi parametric Programming Under Global Uncertainty Book
Author : Vassilis M. Charitopoulos
Publisher : Springer Nature
Release : 2020-02-05
ISBN : 3030381374
Language : En, Es, Fr & De

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Book Description :

This book introduces models and methodologies that can be employed towards making the Industry 4.0 vision a reality within the process industries, and at the same time investigates the impact of uncertainties in such highly integrated settings. Advances in computing power along with the widespread availability of data have led process industries to consider a new paradigm for automated and more efficient operations. The book presents a theoretically proven optimal solution to multi-parametric linear and mixed-integer linear programs and efficient solutions to problems such as process scheduling and design under global uncertainty. It also proposes a systematic framework for the uncertainty-aware integration of planning, scheduling and control, based on the judicious coupling of reactive and proactive methods. Using these developments, the book demonstrates how the integration of different decision-making layers and their simultaneous optimisation can enhance industrial process operations and their economic resilience in the face of uncertainty.

Mathematical Statistics Theory and Applications

Mathematical Statistics Theory and Applications Book
Author : Anonim
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2020-05-26
ISBN : 3112319087
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Statistics Theory and Applications book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Bayesian Inference

Bayesian Inference Book
Author : Hanns Ludwig Harney
Publisher : Springer
Release : 2016-10-18
ISBN : 3319416448
Language : En, Es, Fr & De

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Book Description :

This new edition offers a comprehensive introduction to the analysis of data using Bayes rule. It generalizes Gaussian error intervals to situations in which the data follow distributions other than Gaussian. This is particularly useful when the observed parameter is barely above the background or the histogram of multiparametric data contains many empty bins, so that the determination of the validity of a theory cannot be based on the chi-squared-criterion. In addition to the solutions of practical problems, this approach provides an epistemic insight: the logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. New sections feature factorizing parameters, commuting parameters, observables in quantum mechanics, the art of fitting with coherent and with incoherent alternatives and fitting with multinomial distribution. Additional problems and examples help deepen the knowledge. Requiring no knowledge of quantum mechanics, the book is written on introductory level, with many examples and exercises, for advanced undergraduate and graduate students in the physical sciences, planning to, or working in, fields such as medical physics, nuclear physics, quantum mechanics, and chaos.

Permutation Tests for Complex Data

Permutation Tests for Complex Data Book
Author : Fortunato Pesarin,Luigi Salmaso
Publisher : John Wiley & Sons
Release : 2010-02-25
ISBN : 9780470689523
Language : En, Es, Fr & De

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Book Description :

Complex multivariate testing problems are frequently encountered in many scientific disciplines, such as engineering, medicine and the social sciences. As a result, modern statistics needs permutation testing for complex data with low sample size and many variables, especially in observational studies. The Authors give a general overview on permutation tests with a focus on recent theoretical advances within univariate and multivariate complex permutation testing problems, this book brings the reader completely up to date with today’s current thinking. Key Features: Examines the most up-to-date methodologies of univariate and multivariate permutation testing. Includes extensive software codes in MATLAB, R and SAS, featuring worked examples, and uses real case studies from both experimental and observational studies. Includes a standalone free software NPC Test Release 10 with a graphical interface which allows practitioners from every scientific field to easily implement almost all complex testing procedures included in the book. Presents and discusses solutions to the most important and frequently encountered real problems in multivariate analyses. A supplementary website containing all of the data sets examined in the book along with ready to use software codes. Together with a wide set of application cases, the Authors present a thorough theory of permutation testing both with formal description and proofs, and analysing real case studies. Practitioners and researchers, working in different scientific fields such as engineering, biostatistics, psychology or medicine will benefit from this book.