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- catalog abstract "This book is primarily a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, chemists, economists, and engineers who have to deal with data on a daily basis; consequently, we have included a great deal of introductory and tutorial material. Any person with the equivalent of the mathematics background required for the graduate-level study of physics should be able to follow the material contained in this book, though not without effort. In this work we apply probability theory to the problem of estimating parameters in rather general models. In particular when the model consists of a single stationary sinusoid we show that the direct application of probability theory will yield frequency estimates an order of magnitude better than a discrete Fourier transform in signal-to-noise of one. Latter, we generalize the problem and show that probability theory can separate two close frequencies long after the peaks in a discrete Fourier transform have merged.".
- catalog contributor b2270408.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [203]-206.".
- catalog description "Contents: Introduction -- Single Stationary Sinusoid Plus Noise -- The General Model Equation Plus Noise -- Estimating The Parameters -- Model Selection -- Spectral Estimation -- Applications -- Summary and Conclusions -- Appendices A-E.".
- catalog description "This book is primarily a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, chemists, economists, and engineers who have to deal with data on a daily basis; consequently, we have included a great deal of introductory and tutorial material. Any person with the equivalent of the mathematics background required for the graduate-level study of physics should be able to follow the material contained in this book, though not without effort. In this work we apply probability theory to the problem of estimating parameters in rather general models. In particular when the model consists of a single stationary sinusoid we show that the direct application of probability theory will yield frequency estimates an order of magnitude better than a discrete Fourier transform in signal-to-noise of one. Latter, we generalize the problem and show that probability theory can separate two close frequencies long after the peaks in a discrete Fourier transform have merged.".
- catalog extent "xii, 209 p. :".
- catalog hasFormat "Bayesian spectrum analysis and parameter estimation.".
- catalog identifier "0387968717".
- catalog isFormatOf "Bayesian spectrum analysis and parameter estimation.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 48.".
- catalog isPartOf "Lecture notes in statistics ; 48".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Bayesian spectrum analysis and parameter estimation.".
- catalog subject "Bayesian statistical decision theory.".
- catalog subject "Multivariate analysis.".
- catalog subject "Parameter estimation.".
- catalog subject "Probabilities.".
- catalog subject "QA279.5 .B74 1988".
- catalog subject "Statistics.".
- catalog tableOfContents "Contents: Introduction -- Single Stationary Sinusoid Plus Noise -- The General Model Equation Plus Noise -- Estimating The Parameters -- Model Selection -- Spectral Estimation -- Applications -- Summary and Conclusions -- Appendices A-E.".
- catalog title "Bayesian spectrum analysis and parameter estimation / G. Larry Bretthorst.".
- catalog type "text".