An introduction to probability theory and its applications

Author: William Feller

Publisher: John Wiley & Sons

ISBN: 9780471257080

Category: Mathematics

Page: 528

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Major changes in this edition include the substitution of probabilistic arguments for combinatorial artifices, and the addition of new sections on branching processes, Markov chains, and the De Moivre-Laplace theorem.
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Shape and Shape Theory

Author: D. G. Kendall,D. Barden,T. K. Carne,H. Le

Publisher: John Wiley & Sons

ISBN: 0470317841

Category: Mathematics

Page: 318

View: 1326

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Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer scientists. Mathematically, 'shape' is the geometrical information required to describe an object when location, scale and rotational effects are removed. The theory was pioneered by Professor David Kendall to solve practical problems concerning shape. This text presents an elegant account of the theory of shape that has evolved from Kendall's work. Features include: * A comprehensive account of Kendall's shape spaces * A variety of topological and geometric invariants of these spaces * Emphasis on the mathematical aspects of shape analysis * Coverage of the mathematical issues for a wide range of applications The early chapters provide all the necessary background information, including the history and applications of shape theory. The authors then go on to analyse the topic, in brilliant detail, in a variety of different shape spaces. Kendall's own procedures for visualising distributions of shapes and shape processes are covered at length. Implications from other branches of mathematics are explored, along with more advanced applications, incorporating statistics and stochastic analysis. Applied statisticians, applied mathematicians, engineers and computer scientists working and researching in the fields of archaeology, astronomy, biology, geography and physical chemistry will find this book of great benefit. The theories presented are used today in a wide range of subjects from archaeology through to physics, and will provide fascinating reading to anyone engaged in such research. Visit our web page! http://www.wiley.com/
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Statistical Methods with Applications to Demography and Life Insurance

Author: Estáte V. Khmaladze

Publisher: CRC Press

ISBN: 1466505745

Category: Mathematics

Page: 242

View: 5292

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Suitable for statisticians, mathematicians, actuaries, and students interested in the problems of insurance and analysis of lifetimes, Statistical Methods with Applications to Demography and Life Insurance presents contemporary statistical techniques for analyzing life distributions and life insurance problems. It not only contains traditional material but also incorporates new problems and techniques not discussed in existing actuarial literature. The book mainly focuses on the analysis of an individual life and describes statistical methods based on empirical and related processes. Coverage ranges from analyzing the tails of distributions of lifetimes to modeling population dynamics with migrations. To help readers understand the technical points, the text covers topics such as the Stieltjes, Wiener, and Itô integrals. It also introduces other themes of interest in demography, including mixtures of distributions, analysis of longevity and extreme value theory, and the age structure of a population. In addition, the author discusses net premiums for various insurance policies. Mathematical statements are carefully and clearly formulated and proved while avoiding excessive technicalities as much as possible. The book illustrates how these statements help solve numerous statistical problems. It also includes more than 70 exercises.
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Structure, Information and Communication Complexity, IIS 1

Author: Paola Flocchini

Publisher: McGill-Queen's Press - MQUP

ISBN: 077359115X

Category: Science

Page: 169

View: 2736

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The ultimate goal of research in Distributed Computing is to understand the nature, properties and limits of computing in a system of autonomous communicating agents. To this end, it is crucial to identify those factors which are significant for the computability and the communication complexity of problems. A crucial role is played by those factors which can be termed Structural Information: its identification, characterization, analysis, and its impact on communication complexity is an important theoretical task which has immediate practical importance. The purpose of the Colloquia on Structural Information and Communication Complexity (SIROCCO) is to focus explicitly on the interaction between structural information and communication complexity. The Colloquia comprise position papers, presentations of current research, and group discussions. Series 1 contains papers presented at the 1st Colloquium on Structural Information and Communication Complexity, held in Ottawa, Canada. Series 2 contains papers presented at the 2nd Colloquium held in Olympia, Greece.
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Mathematical Statistics

Basic Ideas and Selected Topics, Volume I, Second Edition

Author: Peter J. Bickel,Kjell A. Doksum

Publisher: CRC Press

ISBN: 1498723810

Category: Business & Economics

Page: 576

View: 5110

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Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition presents fundamental, classical statistical concepts at the doctorate level. It covers estimation, prediction, testing, confidence sets, Bayesian analysis, and the general approach of decision theory. This edition gives careful proofs of major results and explains ho
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Lectures in Mathematical Statistics

Parts 1 and 2

Author: I͡U. N. Linʹkov

Publisher: American Mathematical Soc.

ISBN: 9780821889688

Category: Mathematics

Page: 321

View: 2947

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This volume is intended for the advanced study of several topics in mathematical statistics. The first part of the book is devoted to sampling theory (from one-dimensional and multidimensional distributions), asymptotic properties of sampling, parameter estimation, sufficient statistics, and statistical estimates. The second part is devoted to hypothesis testing and includes the discussion of families of statistical hypotheses that can be asymptotically distinguished. In particular,the author describes goodness-of-fit and sequential statistical criteria (Kolmogorov, Pearson, Smirnov, and Wald) and studies their main properties. The book is suitable for graduate students and researchers interested in mathematical statistics. It is useful for independent study or supplementaryreading.
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Probability Theory

Author: Alexandr A. Borovkov

Publisher: Springer Science & Business Media

ISBN: 1447152018

Category: Mathematics

Page: 733

View: 5781

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This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent. The importance of the Russian school in the development of probability theory has long been recognized. This book is the translation of the fifth edition of the highly successful Russian textbook. This edition includes a number of new sections, such as a new chapter on large deviation theory for random walks, which are of both theoretical and applied interest. The frequent references to Russian literature throughout this work lend a fresh dimension and make it an invaluable source of reference for Western researchers and advanced students in probability related subjects. Probability Theory will be of interest to both advanced undergraduate and graduate students studying probability theory and its applications. It can serve as a basis for several one-semester courses on probability theory and random processes as well as self-study.
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Modern Mathematics for the Engineer: Second Series

Author: Edwin F. Beckenbach

Publisher: Courier Corporation

ISBN: 0486316122

Category: Technology & Engineering

Page: 480

View: 2625

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The second in this two-volume series also contains original papers commissioned from prominent 20th-century mathematicians. A three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. 1961 edition.
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