Elements of Probability and Statistics: An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics – eBook

Description

This eBook, Elements of Probability and Statistics: An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics (PDF), offers a comprehensive exploration of basic probability concepts and an insightful introduction to Bayesian statistics through de Finetti’s innovative subjectivist framework. A standout feature of this methodology is its avoidance of the conventional sample space – a concept that can unnecessarily complicate the study of elementary probability. Instead, this eBook emphasizes random numbers as core elements, directly linked to their practical applications.

In this unique approach, events are seen as a specific instance of random numbers, while probability is framed as a particular case of expectation when applied to these events. The subjective probability evaluations of expectation and conditional expectation stem from an economic perspective, where the choices regarding acceptable bets or penalties inform the analyses. The properties of both expectation and conditional expectation are meticulously derived, guided by a coherence criterion that ensures logical consistency in evaluations.

This eBook is ideally designed for introductory courses in statistics and probability, making it a valuable resource for students studying informatics, engineering, mathematics, and physics alike.

NOTE: This sale pertains solely to the eBook Elements of Probability and Statistics in PDF format. Access codes are not included.

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