Markov Random Fields and Their Applications

Markov Random Fields and Their Applications

Author: Ross Kindermann

Publisher:

Published: 1980

Total Pages: 160

ISBN-13:

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The study of Markov random fields has brought exciting new problems to probability theory which are being developed in parallel with basic investigation in other disciplines, most notably physics. The mathematical and physical literature is often quite technical. This book aims at a more gentle introduction to these new areas of research.


Elliptic Boundary Value Problems in Domains with Point Singularities

Elliptic Boundary Value Problems in Domains with Point Singularities

Author: Vladimir Kozlov

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 426

ISBN-13: 0821807544

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For graduate students and research mathematicians interested in partial differential equations and who have a basic knowledge of functional analysis. Restricted to boundary value problems formed by differential operators, avoiding the use of pseudo- differential operators. Concentrates on fundamental results such as estimates for solutions in different function spaces, the Fredholm property of the problem's operator, regularity assertions, and asymptotic formulas for the solutions of near singular points. Considers the solutions in Sobolev spaces of both positive and negative orders. Annotation copyrighted by Book News, Inc., Portland, OR


Sampling With Unequal Probabilities

Sampling With Unequal Probabilities

Author: K. R. W. Brewer

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 173

ISBN-13: 1468494074

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Work for this mono graph on sampling wi th unequal probabili ties was started when Muhammad Hanif was a visitor to the then Commonwealth Bureau of Census and Statistics, Canberra, in 1969. It remained in abeyance until he again visi ted Canberra, this time the Australian National University's Survey Research Centre in 1978 as Visiting Fellow. The work was substantially completed when K.R.W. Brewer visited EI-Fateh University during January 1980 as Visiting Professor. Finally, in 1982 the Bibliography was revised and corrected, and a number of references added which da not appeal" in the text. These are indicated by an asterisk (:, q. The authors are indebted to Mr. E.K. foreman and the sampling staff (past and present) at the Australian Bureau of Statistics for their help and encouragement and tü t-lrs Bar:='ara Geary für her excellent mathematical typing. Canberra K.R.W. Brewer May 1982. Muhammad Hanif vii CONTENTS CHAPTER 1: ..1;1 r:17~ODUCTION TO SAMPLING WITH UNEQUAL PP. OBABILITIES 1 ... Sam.::: Basic Concepts ~j"otation and Abbreviations 4 1


The Classification of the Finite Simple Groups, Number 3

The Classification of the Finite Simple Groups, Number 3

Author: Daniel Gorenstein

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 446

ISBN-13: 9780821803912

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Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR


Publications of the American Statistical Association

Publications of the American Statistical Association

Author: American Statistical Association

Publisher:

Published: 1903

Total Pages: 454

ISBN-13:

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A scientific and educational journal not only for professional statisticians but also for economists, business executives, research directors, government officials, university professors, and others who are seriously interested in the application of statistical methods to practical problems, in the development of more useful methods, and in the improvement of basic statistical data.