共查询到20条相似文献,搜索用时 62 毫秒
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José E. Figueroa-López Yankeng Luo 《Stochastic Processes and their Applications》2018,128(12):4207-4245
In this article, we consider a Markov process , which solves a stochastic differential equation driven by a Brownian motion and an independent pure jump component exhibiting both state-dependent jump intensity and infinite jump activity. A second order expansion is derived for the tail probability in small time , where is the initial value of the process and . As an application of this expansion and a suitable change of the underlying probability measure, a second order expansion, near expiration, for out-of-the-money European call option prices is obtained when the underlying stock price is modeled as the exponential of the jump–diffusion process under the risk-neutral probability measure. 相似文献
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Let , be independent and identically distributed random variables with values in . We transform (‘prune’) the sequence , of discrete random samples into a sequence , of contiguous random sets by replacing with if . We consider the asymptotic behaviour of as . Applications include path growth in digital search trees and the number of tables in Pitmanʼs Chinese restaurant process if the latter is conditioned on its limit value. 相似文献
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The waiting time distribution for a correlated queue with exponential interarrival and service times
We are concerned with the analysis of the waiting time distribution in an queue in which the interarrival time between the th and the th customers and the service time of the th customer are correlated random variables with Downton’s bivariate exponential distribution. In this paper we show that the conditional waiting time distribution, given that the waiting time is positive, is exponential. 相似文献
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Dmitry Korshunov 《Stochastic Processes and their Applications》2018,128(4):1316-1332
We study subexponential tail asymptotics for the distribution of the maximum of a process with negative drift for the entire range of . We consider compound renewal processes with linear drift and Lévy processes. For both processes we also formulate and prove the principle of a single big jump for their maxima. The class of compound renewal processes with drift particularly includes the Cramér–Lundberg renewal risk process. 相似文献
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In this paper we consider the following competitive two-species chemotaxis system with two chemicals in a smooth bounded domain with , where , and . For the case , it will be proved that if , and , then the initial–boundary value problem with homogeneous Neumann boundary condition admits a unique global bounded solution and uniformly on as . 相似文献
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Haïm Brezis Petru Mironescu 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2018,35(5):1355-1376
We investigate the validity of the Gagliardo–Nirenberg type inequality
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with . Here, are non negative numbers (not necessarily integers), , and we assume the standard relationsBy the seminal contributions of E. Gagliardo and L. Nirenberg, (1) holds when are integers. It turns out that (1) holds for “most” of values of , but not for all of them. We present an explicit condition on which allows to decide whether (1) holds or fails. 相似文献
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For bipartite graphs , the bipartite Ramsey number is the least positive integer so that any coloring of the edges of with colors will result in a copy of in the th color for some . In this paper, our main focus will be to bound the following numbers: and for all for and for Furthermore, we will also show that these mentioned bounds are generally better than the bounds obtained by using the best known Zarankiewicz-type result. 相似文献
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Tomoya Kato 《Journal of Differential Equations》2018,264(5):3402-3444
We consider the Cauchy problem for the generalized Zakharov–Kuznetsov equation on three and higher dimensions. We mainly study the local well-posedness and the small data global well-posedness in the modulation space for and . We also investigate the quartic case, i.e., . 相似文献
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For fractional Navier–Stokes equations and critical initial spaces X, one used to establish the well-posedness in the solution space which is contained in . In this paper, for heat flow, we apply parameter Meyer wavelets to introduce Y spaces where is not contained in . Consequently, for , we establish the global well-posedness of fractional Navier–Stokes equations with small initial data in all the critical oscillation spaces. The critical oscillation spaces may be any Besov–Morrey spaces or any Triebel–Lizorkin–Morrey spaces where . These critical spaces include many known spaces. For example, Besov spaces, Sobolev spaces, Bloch spaces, Q-spaces, Morrey spaces and Triebel–Lizorkin spaces etc. 相似文献
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Jüri Lember Heinrich Matzinger Joonas Sova Fabio Zucca 《Stochastic Processes and their Applications》2018,128(5):1678-1710
Let and be random sequences taking values in a finite set . We consider a similarity score that measures the homology of words and . A typical example is the length of the longest common subsequence. We study the order of moment in the case where the two-dimensional process is a Markov chain on . This general model involves independent Markov chains, hidden Markov models, Markov switching models and many more. Our main result establishes a condition that guarantees that . We also perform simulations indicating the validity of the condition. 相似文献
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In this work, we prove the existence of convex solutions to the following k-Hessian equation in the neighborhood of a point , where , is nonnegative near , and . 相似文献