in order to study the relationship between random boolean sets and some explanatory variables, this paper introduces a propagation model. this model can be applied when corresponding poisson process of the boolean model is related to explanatory variables and the random grains are not affected by these variables. an approximation for the likelihood is used to find pseudo-maximum likelihood esti...

Equivalence of the spectral gap, exponential integrability of hitting times and Lyapunov conditions are well known. We give here the correspondance (with quantitative results) for reversible diffusion processes. As a consequence, we generalize results of Bobkov in the one dimensional case on the value of the Poincaré constant for logconcave measures to superlinear potentials. Finally, we study ...

The use of Lyapunov conditions for proving functional inequalities was initiated in [5]. It was shown in [4, 30] that there is an equivalence between a Poincaré inequality, the existence of some Lyapunov function and the exponential integrability of hitting times. In the present paper, we close the scheme of the interplay between Lyapunov conditions and functional inequalities by • showing that...

ABSTRACT Introduction: Functional training values the athletes’ physical activity and integral exercise proper of practiced sport. Tennis frequently integrates this into regular training, aiming to enrich teaching. Objective: Compare effects functional in daily on tennis players’ strokes based performance. Methods: A research sample 18 young male players clubs were used. The volunteers randomly...

Let (Xt, t ≥ 0) be a Lévy process started at 0, with Lévy measure ν, and Tx the first hitting time of level x > 0 : Tx := inf {t ≥ 0; Xt > x}. Let F (θ, μ, ρ, .) be the joint Laplace transform of (Tx,Kx, Lx) : F (θ, μ, ρ, x) := E ( e1l{Tx<+∞} ) , where θ ≥ 0, μ ≥ 0, ρ ≥ 0, x ≥ 0, Kx := XTx − x and Lx := x−XT x − . If ν(R) < +∞ and ∫ +∞ 1 eν(dy) < +∞ for some s > 0, then we prove that F (θ, μ, ρ...

Functional limit theorem for continuous-time random walks (CTRW) are found in general case of dependent waiting times and jump sizes that are also position dependent. The limiting anomalous diffusion is described in terms of fractional dynamics. Probabilistic interpretation of generalized fractional evolution is given in terms of the random time change (subordination) by means of hitting times ...

In this paper we characterize possible asymptotics for hitting times in aperiodic ergodic dynamical systems: asymptotics are proved to be the distribution functions of subprobability measures on the line belonging to the functional class (A) F = F is continuous and concave; F (t) ≤ t for t ≥ 0.. Note that all possible asymptotics are absolutely continuous.

Functional limit theorem for continuous-time random walks (CTRW) are found in general case of dependent waiting times and jump sizes that are also position dependent. The limiting anomalous diffusion is described in terms of fractional dynamics. Probabilistic interpretation of generalized fractional evolution is given in terms of the random time change (subordination) by means of hitting times ...

Research has shown that different maladaptive behavior categories may be maintained by different contingencies. We examined whether behavior categories or behavior topographies determine functional properties. The Questions about Behavioral Function with its five subscales (Attention, Escape, Nonsocial, Physical, and Tangible) was completed by direct care staff for one target behavior for each ...