This paper extends maximum entropy estimation of discrete probabilitydistributions to the continuous case. This transition leads to a nonparametricestimation of a probability density function, preserving the maximumentropy principle. Furthermore, the derived density estimate providesa minimum...

The main objective of this thesis is to develop novel Monte Carlo techniques with emphasis on various applications in finance and economics, particularly in the fields of risk management and asset returns modeling. New stochastic algorithms are developed for rare-event probability estimation,...