4. The benefits of the Bayesian approach
To illustrate the contribution of the Bayesian approach, we'll consider three examples, in which we vary only the standard deviation of the "a priori" distribution. The examples take the values from the figures "Two different true values can give the same thing" and "Single measurement of a sample of unknown true value", i.e. normal probability distributions of mean 50 for the "a priori" distribution and 57 for the distribution of measurements.
4.1 Example 1
The "a priori" law has a higher standard deviation than the distribution law of the measurements (for example, belonging to a dispersed population).
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The benefits of the Bayesian approach
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Bibliography
Bolstad (W.) - Introduction to Bayesian statistics . Wiley 2007
Box (G.E.P.) and Tiao (G.C) - Bayesian inference in statistical analysis . Wiley Classics Library, 1992
D'Agostini (G.) - Bayesian reasoning in data analysis . World Scientific Publishing, 2003
Gregory (P.) - Bayesian logical analysis...
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