Bayesian Spectrum Analysis and Parameter Estimation

	Author(s):	G. Larry Bretthorst
	Collection:	Lecture Notes in Statistics 48
	Publisher:	Springer-Verlag New York
	Year:	1988
	Language:	English
	Pages:	220 pages
	Size:	1.31 MB
	Extension:	PDF

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[content title="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.
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[content title="Content"] [/content]

[content title="About the author"]G. Larry Bretthorst is a mathematician [/content]

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