Sentence examples for models with jumps from inspiring English sources

Many advancements have been contrived on the MJD model by considering the Lévy models with jumps.

There are also many results on the epidemic models with jumps [19 22].

After that, many results on the stochastic population models with jumps have been reported [17, 18, 26 29].

Therefore, from an applied point of view, it is very significant and nontrivial to study the wider class of Vasicek models with jumps.

In the next section, we give the limit theorem and its proof for the stochastic metal price model with jumps.

Beliaeva et al. [24] discussed the pricing of American interest rate options under the Vasicek model with jumps.

We assume that (y_{t}) is a Vasicek model with jumps which is a solution of SDE (1.2).

Recently, some scholars studied some interesting problems, such as model with jumps (see [30, 31]) and model with time delay (see [32, 33]).

Although there have been many excellent works on the stochastic Gompertz model, studies on a stochastic Gompertz model with jumps have not been done yet to the best of our knowledge.

Besides, they demonstrate that the detection model using Markov switching model with jumps (MSJ) with social-network based feature is the best combination for accuracy; there is no single best detection model for sensitivity.

In this paper, in order to incorporate sudden jumps in spot market, we consider the stochastic metal price model with jumps in the form d X ( t ) = ( β X ( t ) + δ ( t ) ) d t + σ X ( t ) d W ( t ) + ∫ U g ( X ( t − ), u ) N ˜ ( d t, d u ), (1).