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This book is a rigorous but practical presentation of the Bayesian techniques of uncertainty quantification, with applications in R. This volume includes mathematical arguments at the level necessary to make the presentation rigorous and the assumptions clearly established, while maintaining a...
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Stochastic independence (SI) has a complex status in probability theory. It is not part of the definition of a … probability measure, but it is nonetheless an essential property for the mathematical development of this theory, hence a property … that any theory on the foundations of probability should be able to account for. Bayesian decision theory, which is one …
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This paper presents an application of a linear quadratic stochastic differential game to a financial model that describes trading behaviors of different types of players in a high frequency stock market. Stability of the stock market in a high frequency environment is a central issue in...
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