The statistical eyeglasses :the math behind scientific knowledge /

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"Version: 20181101"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Models of nature -- 2. Randomness -- 2.1. What is random? -- 2.2. How does randomness show up in nature? -- 2.3. Random and deterministic signals -- 2.4. From noisy data to the likelihood function3. Bayesian and frequentist approaches to scientific inference -- 3.1. Bayes' theorem -- 3.2. The same game, and a mysterious result -- 3.3. Statistical descriptors4. The principles of inferential statistics -- 4.1. Bayes and the likelihood function -- 4.2. The 'least informative prior' -- 4.3. The principles of inferential statistics5. Parametric inference -- 5.1. Bayesian parametric inference -- 5.2. Frequentist parametric inference6. Prior distributions and equiprobable events in the physical sciences -- 6.1. Elementary Monte Carlo method -- 6.2. Transformations of random variables by Monte Carlo -- 6.3. Bertrand's paradox -- 7. Conclusions : the statistical nature of scientific knowledge.Science often deals with hard-to-see phenomena, and they only stand out and become real when viewed through the lens of complex statistical tools. This book is not a textbook about statistics applied to science--there are already many excellent books to choose from--rather, it gives an overview of the basic principles that physical scientists use to analyze their data and bring out the order of Nature from the fog of background noise.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Edoardo Milotti is Professor of Physics at the University of Trieste, Italy. After working mostly in experimental particle physics, he has also authored papers on noise processes in physics, and on the physics of cancer. His longtime research interests are in the direction of the analysis of experimental data and in the modeling of complex phenomena. He has published over 200 scientific papers in peer-reviewed scientific journals. He lives in Trieste, Italy, with his wife Alessandra.Title from PDF title page (viewed on December 14, 2018).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643271507

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501/.092

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Subject(s)

SCIENCE / Physics / Mathematical & Computational.
Mathematical physics.
Science
Physics

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Edoardo Milotti.

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