comparison of statistical experiments encyclopedia of mathematics and its applications

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Comparison Of Statistical Experiments

Author : Erik Torgersen
ISBN : 0521250307
Genre : Mathematics
File Size : 61. 3 MB
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There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, ordering, equivalence, completeness and convergence are explored. This is a comprehensive treatment of the subject and will be an essential reference for mathematical statisticians.

Comparisons Of Stochastic Matrices With Applications In Information Theory Statistics Economics And Population

Author : JOEL COHEN
ISBN : 0817640827
Genre : Mathematics
File Size : 24. 6 MB
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Focuses on generalizing the notion of variation in a set of numbers to the notion of variation in a set of probability distributions. The work collects known ways of comparing stochastic matrices, and then generalizes these, and establishes the relations of implication or equivalence among some.

Reality And Measurement In Algebraic Quantum Theory

Author : Masanao Ozawa
ISBN : 9789811324871
Genre : Mathematics
File Size : 83. 39 MB
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This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.

Selected Works Of E L Lehmann

Author : Javier Rojo
ISBN : 9781461414124
Genre : Mathematics
File Size : 87. 14 MB
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These volumes present a selection of Erich L. Lehmann’s monumental contributions to Statistics. These works are multifaceted. His early work included fundamental contributions to hypothesis testing, theory of point estimation, and more generally to decision theory. His work in Nonparametric Statistics was groundbreaking. His fundamental contributions in this area include results that came to assuage the anxiety of statisticians that were skeptical of nonparametric methodologies, and his work on concepts of dependence has created a large literature. The two volumes are divided into chapters of related works. Invited contributors have critiqued the papers in each chapter, and the reprinted group of papers follows each commentary. A complete bibliography that contains links to recorded talks by Erich Lehmann – and which are freely accessible to the public – and a list of Ph.D. students are also included. These volumes belong in every statistician’s personal collection and are a required holding for any institutional library.

Comparisons Of Stochastic Matrices With Applications In Information Theory Statistics Economics And Population Sciences

Author : Joel E. Cohen
ISBN : UOM:39015046912971
Genre : Mathematics
File Size : 89. 82 MB
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From Statistics To Mathematical Finance

Author : Dietmar Ferger
ISBN : 9783319509860
Genre : Mathematics
File Size : 53. 90 MB
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This book, dedicated to Winfried Stute on the occasion of his 70th birthday, presents a unique collection of contributions by leading experts in statistics, stochastic processes, mathematical finance and insurance. The individual chapters cover a wide variety of topics ranging from nonparametric estimation, regression modelling and asymptotic bounds for estimators, to shot-noise processes in finance, option pricing and volatility modelling. The book also features review articles, e.g. on survival analysis.

Subject Guide To Books In Print

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ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 89. 63 MB
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Bulletin

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ISBN : UOM:39015046023712
Genre : Mathematics
File Size : 38. 58 MB
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Encyclopedia Of Statistical Sciences

Author : Samuel Kotz
ISBN : UVA:X004146384
Genre : Mathematics
File Size : 60. 72 MB
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Encyclopedia of Statistical Sciences is the number one source of information on statistical theory, methods, and applications for researchers and clinicians. This new volume is the second of three updates designed to bring the Encyclopedia in line with new and emerging topics and important advances in statistical science made over the past decade. Each self-contained entry is written by a leader in the field and easily understood by readers with a modest statistical background. In addition to the main selections, which feature fascinating discussions of developments in various branches of the statistical sciences, readers will find a series of shorter entries ranging in subject matter from the lives of pioneers in statistics to updates of earlier articles and reviews of statistical agencies and journals. Up-to-date bibliographies, thorough cross-referencing, and extensive indexing facilitate quick access to specific information and provide an indispensable platform for further study and research With the publication of this update installment, the Encyclopedia of Statistical Sciences retains its position as a cutting-edge reference of choice for those working in statistics, probability theory, biostatistics, quality control, and economics and in applications of statistical methods in sociology, engineering, computer science, biomedicine, psychology, and many other areas

Encyclopedia Of Statistical Sciences

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ISBN : 0471743755
Genre : Mathematics
File Size : 45. 42 MB
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With the publication of this update installment, the Encyclopedia of Statistical Sciences retains its position as the only cutting-edge reference of choice for those working in statistics, probability theory, biostatistics, quality control, and economics and in applications of statistical methods in sociology, engineering, computer and communication science, biomedicine, psychology, and many other areas.

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