Sentence examples for in probability to a small from inspiring English sources

We prove local exponential convergence, both almost surely and in probability, to a small neighborhood near the source.

And system output can be regulated in probability to a small neighborhood of the equilibrium point with preset precision.

We use the stochastic averaging theory to prove the local exponential convergence, both almost surely and in probability, to a small neighborhood near the source for elliptical level sets.

Their main findings are in agreement with our results: etoricoxib had a low probability to provide a small improvement in pain relief and physical functioning over diclofenac.

19, 20, 28 Miltesfosine was also associated with side effects such as elevated serum urea nitrogen (BUN) and creatinine levels or elevated liver enzymes in addition to a small probability of death caused by treatment.

It is more useful to use the coefficients to calculate the change in the probability for a small change in the independent variable, i.e., marginal effects of each variable on the probability of interest in entrepreneurship.

It is shown that all the signals in the resulting closed-loop system are bounded in probability, and the system output converges to a small residual set of the equilibrium in probability.

The stability is proven based on Lyapnov theory, and it can guarantee that all the variables of closed-loop system are bounded in probability, and tracking error converges to a small neighborhood of zero.

The designed fuzzy controller with the composite parameters adaptive laws ensures that all the variables of closed-loop system are bounded in probability, and tracking error converges to a small neighborhood of zero.

In other words, for nonneutral mutants, the probability to invade is smaller in a spatial model than it is in the space-free Moran process.

The proposed adaptive fuzzy controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error can converge to a small residual set around the origin in the mean square sense.