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A model for interevent times with long tails and multifractality in human communications: An application to financial trading
model interevent times long tails multifractality human communications application financial trading
2010/12/17
Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics ob...
Convex Risk Measures: Lebesgue Property on one Period and Multi Period Risk Measures and Application in Capital Allocation Problem
Convex Risk Measures Lebesgue Property Period Multi Period Risk Measures Application Capital Allocation Problem
2010/12/17
In this work we study the Lebesgue property for convex risk measures on the space of bounded c\`adl\`ag random processes ($\mathcal{R}^\infty$). Lebesgue property has been defined for one period conv...
Max-Plus decomposition of supermartingales and convex order. Application to American options and portfolio insurance
Max-Plus decomposition supermartingales convex order Application American options portfolio insurance
2010/12/17
We are concerned with a new type of supermartingale decomposition in the Max-Plus algebra, which essentially consists in expressing any supermartingale of class $(\mathcal{D})$ as a conditional expec...
Log-Normal continuous cascades: aggregation properties and estimation. Application to financial time-series
Log-Normal continuous cascades aggregation properties estimation Application financial time-series
2010/12/17
Log-normal continuous random cascades form a class of multifractal processes that has already been successfully used in various fields. Several statistical issues related to this model are studied. W...