Spectral density-based and measure-preserving ABC for partially observed diffusion processes. An illustration on Hamiltonian SDEs
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DOI: 10.1007/s11222-019-09909-6
Abstract: Approximate Bayesian computation (ABC) has become one of the major tools of likelihood-free statistical inference in complex mathematical models. Simultaneously, stochastic differential equations (SDEs) have developed to an established tool for modelling time-dependent, real-world phenomena… read more here.
Keywords: measure preserving; preserving abc; measure; based measure ... See more keywords
Under- and over-independence in measure preserving systems
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DOI: 10.1007/s11856-020-1960-9
Abstract: We introduce the notions of over- and under-independence for weakly mixing and (free) ergodic measure preserving actions and establish new results which complement and extend the theorems obtained in [BoFW] and [A]. Here is a… read more here.
Keywords: measure preserving; measure; density; set let ... See more keywords
Mahler coefficients of 1-Lipschitz measure-preserving functions on ℤp
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DOI: 10.1142/s1793042120500645
Abstract: In this work, we provide a complete description of Mahler coefficients of 1-Lipschitz measure-preserving functions on the ring of p-adic integers ℤp. Our techniques are mainly based on some congrue... read more here.
Keywords: measure preserving; coefficients lipschitz; lipschitz measure; preserving functions ... See more keywords