统计 | Elements of Probability and Statistics

作者:阁楼君

This book offers a comprehensive but concise introduction to probability and mathematical statistics without requiring notions of measure theory

Elements of Probability and Statistics

An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics



Francesca Biagini • Massimo Campanino



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This book is based on the lectures notes for the course, Probability and Mathematical Statistics, taught for many years by one of the authors (M.C.) and then, divided into two sections, by both authors at the University of Bologna (Italy).


We follow the approach of de Finetti, see de Finetti [1] for a complete detailed exposition. Although de Finetti [1] was conceived as a textbook of probability for mathematics students, it was also meant to illustrate the point of view of the author on the foundations of probability and mathematical statistics and discuss it in relation to prevalent approaches, resulting often of difficult access for beginners. This was the main reason that prompted us to arrange the lectures notes of our courses into a more organic way and to write a textbook for an initial class on probability and mathematical statistics.


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