Block Designs Analysis Combinatorics And Applications

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Block Designs Analysis Combinatorics And Applications

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Author : Damaraju Raghavarao
language : en
Publisher: World Scientific
Release Date : 2005-10-11

Block Designs Analysis Combinatorics And Applications written by Damaraju Raghavarao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-11 with Mathematics categories.

Combinatorial mathematicians and statisticians have made a wide range of contributions to the development of block designs, and this book brings together much of that work. The designs developed for a specific problem are used in a variety of different settings. Applications include controlled sampling, randomized response, validation and valuation studies, intercropping experiments, brand cross-effect designs, lotto and tournaments.The intra- and inter- block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.

The Design And Analysis Of Experiments And Surveys

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Author : Dieter Rasch
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-02-05

The Design And Analysis Of Experiments And Surveys written by Dieter Rasch and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Business & Economics categories.

This volume is the English version of the second edition of the bilingual textbook by Rasch, Verdooren and Gowers (1999). A parallel version in German is available from the same publisher. This book is intended for students and experimental scientists in all disciplines and presumes only elementary statistical knowledge. This prerequisite knowledge is summarised briefly in appendix B. Knowledge of differential and integral calculus is not necessary for the understanding of the text. Matrix notation is explained in Appendix C. As well as the correction of errors, the present edition differs from the first by the introduction of some new sections, such as that on testing the equality of two proportions (Section 3.4.4), and the inclusion of sequential tests. All new material is accompanied by descriptions of the relevant SPSS and CADEMO procedures.

Combinatorial Designs

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Author : Douglas Stinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08

Combinatorial Designs written by Douglas Stinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.

Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals incomputer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

Practical Statistical Methods

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Author : Lakshmi Padgett
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Practical Statistical Methods written by Lakshmi Padgett and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.

Practical Statistical Methods: A SAS Programming Approach presents a broad spectrum of statistical methods useful for researchers without an extensive statistical background. In addition to nonparametric methods, it covers methods for discrete and continuous data. Omitting mathematical details and complicated formulae, the text provides SAS program

Inverse Problems Tikhonov Theory And Algorithms

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Author : Kazufumi Ito
language : en
Publisher: World Scientific
Release Date : 2014-08-28

Inverse Problems Tikhonov Theory And Algorithms written by Kazufumi Ito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-28 with Mathematics categories.

Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference.The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems.It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering.

Partitions

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Author : Frank Hwang
language : en
Publisher: World Scientific
Release Date : 2013

Partitions written by Frank Hwang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.

The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The clustering problem, which has recently received a lot of attention, is a special case of optimal partitioning. This book is the first attempt to collect all theoretical developments of optimal partitions, many of them derived by the authors, in an accessible place for easy reference. Much more than simply collecting the results, the book provides a general framework to unify these results and present them in an organized fashion. Many well-known practical problems of optimal partitions are dealt with. The authors show how they can be solved using the theory OCo or why they cannot be. These problems include: allocation of components to maximize system reliability; experiment design to identify defectives; design of circuit card library and of blood analyzer lines; abstraction of finite state machines and assignment of cache items to pages; the division of property and partition bargaining as well as touching on those well-known research areas such as scheduling, inventory, nearest neighbor assignment, the traveling salesman problem, vehicle routing, and graph partitions. The authors elucidate why the last three problems cannot be solved in the context of the theory.

Partitions Optimality And Clustering Volume I Single Parameter

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Author : Frank Kwang-ming Hwang
language : en
Publisher: World Scientific
Release Date : 2011-12-09

Partitions Optimality And Clustering Volume I Single Parameter written by Frank Kwang-ming Hwang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-09 with Mathematics categories.

The need of optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The “clustering” problem, which has recently received a lot of attention, is a special case of optimal partitioning. This book is the first attempt to collect all theoretical developments of optimal partitions, many of them derived by the authors, in an accessible place for easy reference. Much more than simply collecting the results, the book provides a general framework to unify these results and present them in an organized fashion.Many well-known practical problems of optimal partitions are dealt with. The authors show how they can be solved using the theory — or why they cannot be. These problems include: allocation of components to maximize system reliability; experiment design to identify defectives; design of circuit card library and of blood analyzer lines; abstraction of finite state machines and assignment of cache items to pages; the division of property and partition bargaining as well as touching on those well-known research areas such as scheduling, inventory, nearest neighbor assignment, the traveling salesman problem, vehicle routing, and graph partitions. The authors elucidate why the last three problems cannot be solved in the context of the theory.

Mastering Discrete Mathematics

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Author : Gautami Devar
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Mastering Discrete Mathematics written by Gautami Devar and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.

"Mastering Discrete Mathematics" is a comprehensive and accessible resource designed to provide readers with a thorough understanding of the fundamental concepts, techniques, and applications of discrete mathematics. Written for students, educators, researchers, and practitioners, we offer a detailed overview of discrete mathematics, a field that deals with countable, distinct objects and structures. We cover a wide range of topics, including sets, logic, proof techniques, combinatorics, graph theory, recurrence relations, and generating functions. Our clear and concise language makes complex mathematical concepts accessible to readers with varying levels of mathematical background. Each concept is illustrated with examples and applications to demonstrate its relevance and practical significance in various domains. Emphasizing the practical applications of discrete mathematics, we explore its use in computer science, cryptography, optimization, network theory, and other scientific disciplines. Each chapter includes exercises and problems to reinforce learning, test understanding, and encourage further exploration of the material. Additional resources, including supplementary materials, interactive exercises, and solutions to selected problems, are available online to complement the book and facilitate self-study and review. Whether you are a student looking to gain a solid foundation in discrete mathematics, an educator seeking to enhance your teaching materials, or a practitioner interested in applying discrete mathematics techniques to real-world problems, "Mastering Discrete Mathematics" offers valuable insights and resources to support your learning and exploration of this fascinating field.

Smart Transport Networks

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Author : Thomas Vanoutrive
language : en
Publisher: Edward Elgar Publishing
Release Date : 2013-01-01

Smart Transport Networks written by Thomas Vanoutrive and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Transportation categories.

This very interesting book with peer-reviewed chapters written by leading researchers in the field discusses recent research in the areas of market structure, sustainability and decision-making. It includes several contemporary topics, such as changes in port competition, adaptation of transport to climate change, changing market structures, the importance of changing consumers preferences, errors in forecasting, and trends in international goods transport. Bert van Wee, Delft University of Technology, The Netherlands Transport is debated by many, and liberalization processes, transport policy, transport and climate change and increased competition between transport modes are the subject of heated discussion. Smart Transport Networks illustrates that whether concerning road, water, rail or air, knowledge on the structure of transport markets is crucial in order to tackle transport issues. The book therefore explores key factors concerning the structure of transport markets, their environmental impact, and questions why decision makers often fail to tackle transport-related problems. Three of the key factors that underpin the relationship between transport and society are analysed in detail from a variety of perspectives, each with an empirical focus: market structure and the allocation mechanisms at work; sustainability, encompassing the characteristics of the physical environment, the availability of natural resources and the effects of transport activities; and decision making, detailing transport policy and attempts to change transport systems. Practical guidelines on how to effectively deal with complex transport issues are also presented. This book will prove an important resource read for academics, researchers, and students with an interest in economics particularly transport and public sector economics, geography and regional and urban studies. Policy makers and planners in the fields of transport, environment and regional planning will also find this book to be an invaluable reference tool.

Design And Analysis Of Experiments

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Author : M. K. SHARMA
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2012-07-24

Design And Analysis Of Experiments written by M. K. SHARMA and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-24 with Mathematics categories.

Designed primarily as a text for undergraduate and post-graduate students of statistics, the book introduces the readers to the fundamentals of Galois field and finite geometry. It lays emphasis on different aspects of construction of Design and Experiments with Projective geometry and Euclidian geometry. The book deals with the construction of mutually orthogonal latin squares (MOLS) and Hyper Graeco-Latin square and discusses construction of incomplete block design such as balanced incomplete block design (BIBD), partially balanced incomplete block design (PBIBD), including Lattice designs and -Designs based on Galois field. Besides, the book focuses on cofounding in factorial experiments, and it also describes quadratic residue as well as orthogonal arrays through Galois field. A separate chapter on Analysis of block design is included which contains some of the concepts developed recently.