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- catalog abstract "The subject of this book is the reasoning under uncertainty based on statistical evidence. The concepts are developed, explained and illustrated in the context of the mathematical theory of hints, which is a variant of the Dempster-Shafer theory of evidence. In the first two chapters, the theory of generalized functional models for a discrete parameter is developed, which leads to a general notion of weight of evidence. The second part of the book is dedicated to the study of special linear functional models called Gaussian linear systems. Finally, it is shown that the celebrated Kalman filter can easily be derived by local propagation of Gaussian hints in a Markov tree.".
- catalog contributor b12722931.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. [149]-151) and index.".
- catalog description "The Theory of Generalized Functional Models -- The Plausibility and Likelihood Functions -- Hints on Continuous Frames and Gaussian Linear Systems -- Assumption-based Reasoning with Classical Regression Models -- Assumption-based Reasoning with General Gaussian Linear Systems -- Gaussian Hints as a Valuation System -- Local Propagation of Gaussian Hints; Application to the Kalman Filter -- References -- Index.".
- catalog description "The subject of this book is the reasoning under uncertainty based on statistical evidence. The concepts are developed, explained and illustrated in the context of the mathematical theory of hints, which is a variant of the Dempster-Shafer theory of evidence. In the first two chapters, the theory of generalized functional models for a discrete parameter is developed, which leads to a general notion of weight of evidence. The second part of the book is dedicated to the study of special linear functional models called Gaussian linear systems. Finally, it is shown that the celebrated Kalman filter can easily be derived by local propagation of Gaussian hints in a Markov tree.".
- catalog extent "xiii, 154 p. :".
- catalog identifier "3790815276 (pbk.)".
- catalog isPartOf "Contributions to statistics, 1431-1968".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Heidelberg ; New York : Physica-Verlag,".
- catalog subject "Computer science Mathematics.".
- catalog subject "Economics Statistics.".
- catalog subject "Evidence.".
- catalog subject "Gaussian processes.".
- catalog subject "Mathematical statistics.".
- catalog subject "Probabilities.".
- catalog subject "QA273 .M66 2003".
- catalog subject "Statistics.".
- catalog tableOfContents "The Theory of Generalized Functional Models -- The Plausibility and Likelihood Functions -- Hints on Continuous Frames and Gaussian Linear Systems -- Assumption-based Reasoning with Classical Regression Models -- Assumption-based Reasoning with General Gaussian Linear Systems -- Gaussian Hints as a Valuation System -- Local Propagation of Gaussian Hints; Application to the Kalman Filter -- References -- Index.".
- catalog title "A mathematical theory of arguments for statistical evidence / Paul-André Monney.".
- catalog type "text".