We consider a class of jump-diffusion processes, constrained to a polyhedral cone G ⊂ IRn, where the constraint vector field is constant on each face of the boundary. The constraining mechanism corrects for “attempts” of the process to jump outside the domain. Under Lipschitz continuity of the Skorohod map Γ, it is known that there is a cone C such that the image Γφ of a deterministic linear tr...

We consider a Markov process {X t }t≥0 with initial condition X (x) t = x, which is the solution of a stochastic differential equation driven by a Lévy process Z and an independent Wiener process W . Under some regularity conditions, including non-degeneracy of the diffusive and jump components of the process as well as smoothness of the Lévy density of Z, we obtain a small-time second-order po...

Foot arch is important for force transfer and shock absorption in impact sports. The purposes of this study were to measure the height of foot arch in static standing and dynamic activities, and to compare the difference of foot arch between level walking, vertical jump and sprint start. Twenty-three healthy subjects were recruited in this study. Significant differences between non-weight beari...

This study examined biomechanical differences between habitually barefoot male and habitually shod male during vertical jump. Foot morphology was measured with Easy-Foot-Scan. Foot kinetics and ankle kinematics were obtained from EMED pressure platform and Vicon motion analysis system as completing vertical jumps under barefoot condition. The results showed that habitually barefoot subjects had...

The purpose of this paper was to determine the power produced by the lower limbs in the take-off phase in drop jumps (DJ) and the correlation between the power and load measured by dropping height after take-off. The research group (N = 17) contained students practicing football, volleyball, basketball, athletics, high jump, swimming and fencing. The individual characteristics 'power-load' of t...

This study examined the role of monoand biarticular muscles in control of countermovement jumps (CMJ) in different directions. It was hypothesized that monoarticular muscles would demonstrate the same activity regardless of jump direction, based on previous studies which suggest their role is to generate energy to maximize center-of-mass (CM) velocity. In contrast, biarticular activity patterns...

We derive results similar to Bo et al. (2010), but in the case of dynamics of the FX rate driven by a general Merton jump-diffusion process. The main results of our paper are as follows: 1) formulas for the Esscher transform parameters which ensure that the martingale condition for the discounted foreign exchange rate is a martingale for a general Merton jump-diffusion process are derived; usin...

The theory of large deviations for jump Markov processes has been generally proved only when jump rates are bounded below, away from zero (Dupuis and Ellis, 1995, The large deviations principle for a general class of queueing systems I. Trans. Amer. Math. Soc. 347 2689–2751; Ignatiouk-Robert, 2002, Sample path large deviations and convergence parameters. Ann. Appl. Probab. 11 1292–1329; Shwartz...

In this paper, we introduce a new class of estimators of jump size in a nonparametric regression model and apply it to the estimation of local average treatment effect (LATE). We refer members of this class as local polynomial wavelet estimators and show that all the existing estimators, including estimators constructed from differencing two nonparametric estimates and partial linear estimators...

The purpose of this study was to examine the effects of whole-body cryotherapy (WBC) on biochemical, pain, and performance parameters during the 5-day recovery period after damaging exercise for hamstrings. Participants completed a bout of damaging exercise for the hamstring muscles on two separate occasions (control and experimental condition) separated by 10 weeks. During the control conditio...