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This book provides an introduction to elementary probability and to Bayesian statistics using de Finetti's subjectivist approach. The subjective evaluation of expectation and of conditional expectation is based on an economic choice of an acceptable bet or penalty.
The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular emphasis is placed on studying the relations between the different approaches.
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