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6 papers · 2 filters
Image and Reciprocal Image of a Measure. Compatibility Theorem
Albert Tarantola
It is proposed that to the usual probability theory, three definitions and a new theorem are added, the resulting theory allows one to displace the central role usually given to th…
Limit Behaviour of Sequential Empirical Measure Processes
Omar El-Dakkak
In this paper, we obtain some uniform laws of large numbers and functional central limit theorems for sequential empirical measure processes indexed by classes of product functions…
On mean central limit theorems for stationary sequences
Jérôme Dedecker, Emmanuel Rio
In this paper, we give estimates of the minimal distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationa…
Density estimates and concentration inequalities with Malliavin calculus
Ivan Nourdin, Frederi G. Viens
We show how to use the Malliavin calculus to obtain density estimates of the law of general centered random variables. In particular, under a non-degeneracy condition, we prove and…
A mixed singular/switching control problem for a dividend policy with reversible technology investment
Vathana Ly Vath, Huyên Pham, Stéphane Villeneuve
We consider a mixed stochastic control problem that arises in Mathematical Finance literature with the study of interactions between dividend policy and investment. This problem co…
Large deviations for the Boussinesq Equations under Random Influences
Jinqiao Duan, Annie Millet
A Boussinesq model for the Benard convection under random influences is considered as a system of stochastic partial differential equations. This is a coupled system of stochastic…