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The statistical eyeglasses : the math behind 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 t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :
Morgan & Claypool Publishers,
[2018]
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| Colección: | IOP (Series). Release 5.
IOP concise physics. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 function
- 3. Bayesian and frequentist approaches to scientific inference
- 3.1. Bayes' theorem
- 3.2. The same game, and a mysterious result
- 3.3. Statistical descriptors
- 4. The principles of inferential statistics
- 4.1. Bayes and the likelihood function
- 4.2. The 'least informative prior'
- 4.3. The principles of inferential statistics
- 5. Parametric inference
- 5.1. Bayesian parametric inference
- 5.2. Frequentist parametric inference
- 6. 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.