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need not converge, even when their variances tend to infinity. Hence the approximation in Theo- rem 3.1 does not necessarily imply convergence. ) does not converge: see more on
We derive a simple integral representation for the distribution of the maximum of Brownian motion minus a parabola, which can be used for computing the density and moments of
Generically, in our hierarchical model the migration process that sustains an equilibrium is at the border to recurrence in the case of one-level branching, and at the border to
For a coordinate symmetric random vector (Y 1 ,.. and is said to be coordinate symmetric. In this note we show that when a random vector is coordinate sym- metric, even though
For example, in [ 3 ] the uniqueness of the stochastic linear transport equation with Hölder continuous drift was proved, through new results about stochastic flows of class C 1,
(Section 4.2) that they converge under the topology of local convergence to an infinite branch, (the spine or infinite line of descent) on which are grafted some critical
Markov chain Monte Carlo, Fill’s algorithm, perfect sampling, exact sampling, rejection sam- pling, stochastic monotonicity, partially ordered set, monotone coupling,
The results show that our nonparametric estimation method provides an effective solution to the nonlinear filtering problem for reflecting diffusions in random environments..
