Mathematical Methods Of Statistics
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Mathematical Methods of Statistics
Author | : Harald Cramér |
Publsiher | : Unknown |
Total Pages | : 575 |
Release | : 1946 |
Genre | : Mathematical statistics |
ISBN | : OCLC:185899566 |
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Mathematical Methods of Statistics
Author | : Harald Cramér |
Publsiher | : Princeton University Press |
Total Pages | : 596 |
Release | : 1999-04-12 |
Genre | : Mathematics |
ISBN | : 0691005478 |
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In this classic of statistical mathematical theory, Harald Cram r joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cram r's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance.
Mathematical Methods of Statistics PMS 9 Volume 9
Author | : Harald Cramér |
Publsiher | : Princeton University Press |
Total Pages | : 593 |
Release | : 2016-06-02 |
Genre | : Mathematics |
ISBN | : 9781400883868 |
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Harald Cramér’s classic synthesis of statistical mathematical theory—an invaluable resource for students and practitioners alike In the 1930s, as British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. In this incisive and authoritative book, Harald Cramér unites these two major lines of development, providing a masterly exposition of the mathematical methods of modern statistics that set the standard in the field still followed today. Requiring only a working knowledge of undergraduate mathematics, this self-contained book begins with an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. It goes on to discuss the general theory of random variables and probability distributions, the theory of sampling, statistical estimation, and tests of significance. Blending lucid and accessible writing with mathematical rigor, Mathematical Methods of Statistics belongs on the shelf of anyone interested in statistical methods and remains the standard reference on the subject today.
Mathematical Methods in Statistics
Author | : David Freedman,David Lane |
Publsiher | : W W Norton & Company Incorporated |
Total Pages | : 0 |
Release | : 1981 |
Genre | : Mathematical statistics |
ISBN | : 0393952231 |
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Mathematical Methods of Reliability Theory
Author | : B. V. Gnedenko,Yu. K. Belyayev,A. D. Solovyev |
Publsiher | : Academic Press |
Total Pages | : 518 |
Release | : 2014-06-20 |
Genre | : Technology & Engineering |
ISBN | : 9781483263519 |
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Mathematical Methods of Reliability Theory discusses fundamental concepts of probability theory, mathematical statistics, and an exposition of the relationships among the fundamental quantitative characteristics encountered in the theory. The book deals with the set-theoretic approach to reliability theory and the central concepts of set theory to the phenomena. It also presents methods of finding estimates for reliability parameters based on observations and methods of testing reliability hypotheses. Based on mathematical statistics, the book also explains formulation of some selected results. It presents a method that increases the reliability of manufactured articles—redundancy. An important part of product quality control is the standards of acceptance-sampling plans which require simplicity, wide content for flexibility, comprehensive characteristics, and variability. The book also tackles economical and rational methods of sampling inspections, highlighting the need for a correct evaluation of environmental conditions—the factors which predetermine the choice of the inspection method. The book then explains how to estimate the efficiency of the operation of the sampling plan after its selection. The book can be helpful for engineers, mathematicians, economists, or industrial managers, as well as for other professionals who work in the technological, political, research, structural, and physico-chemical areas.
Methods of Mathematics Applied to Calculus Probability and Statistics
Author | : Richard W. Hamming |
Publsiher | : Courier Corporation |
Total Pages | : 882 |
Release | : 2012-06-28 |
Genre | : Mathematics |
ISBN | : 9780486138879 |
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This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.
Recent Advances in Mathematical and Statistical Methods
Author | : D. Marc Kilgour,Herb Kunze,Roman Makarov,Roderick Melnik,Xu Wang |
Publsiher | : Springer |
Total Pages | : 646 |
Release | : 2018-11-04 |
Genre | : Computers |
ISBN | : 9783319997193 |
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This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.
Modern Statistical and Mathematical Methods in Reliability
Author | : Alyson G. Wilson |
Publsiher | : World Scientific |
Total Pages | : 428 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9789812703378 |
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This volume contains extended versions of 28 carefully selected and reviewed papers presented at The Fourth International Conference on Mathematical Methods in Reliability in Santa Fe, New Mexico, June 21OCo25, 2004, the leading conference in reliability research. The meeting serves as a forum for discussing fundamental issues on mathematical methods in reliability theory and its applications. A broad overview of current research activities in reliability theory and its applications is provided with coverage on reliability modeling, network and system reliability, Bayesian methods, survival analysis, degradation and maintenance modeling, and software reliability. The contributors are all leading experts in the field and include the plenary session speakers, Tim Bedford, Thierry Duchesne, Henry Wynn, Vicki Bier, Edsel Pena, Michael Hamada, and Todd Graves."