1 - 10 of 14 articles
In this paper, a compound Poisson risk model with time-dependent claims is studied under a multi-layer dividend strategy. A piecewise integro-differential equation for the Gerber-Shiu function is derived and solved. Asymptotic formulas of the ruin probability are obtained when the claim size...
Harremöes obtained some new maximal inequalities for non-negative martingales. In this paper, we get some new maximal and minimal inequalities for non-negative demimartingales which generalize the results of Harremöes. We also obtain an inequality for non-negative demimartingales which...
In this paper the insurer’s solvency ratio model with or without jump diffusion process in the presence of financial distress cost is constructed, where an insurer’s solvency ratio is characterized by a Markov-modulated dynamics. By Girsanov’s theorem and the option pricing formula, the expected...
On the condition that the interval of the problem shrinks to a point, we investigated the separated boundary conditions S
α,β of left-definite Sturm-Liouville problem, and answered the following question: Is there a c
0 ∈ J such that S
α,β is always left-definite or semi-left-definite for the...
This paper is to investigate positive periodic solutions of a biological system composed of two competing species. The existence and uniqueness of nonnegative solutions to the model for a set of given vital rates and initial distribution are treated and the contractive property of the solutions...
In this paper, we improve the generalized Bernstein basis functions introduced by Han, et al. The new basis functions not only inherit the most properties of the classical Bernstein basis functions, but also reserve the shape parameters that are similar to the shape parameters of the generalized...
In this paper, a projected gradient trust region algorithm for solving nonlinear equality systems with convex constraints is considered. The global convergence results are developed in a very general setting of computing trial directions by this method combining with the line search technique....
The dual-tree complex wavelet transform is a useful tool in signal and image processing. In this paper, we propose a dual-tree complex wavelet transform (ℂWT) based algorithm for image inpainting problem. Our approach is based on Cai, Chan, Shen and Shen’s framelet-based algorithm. The complex...
This paper addresses the aliasing error in the setting of a class of bidimensional multiresolution analysis associated with a 2×2 dilation matrix of determinant ±2. The explicit expression of the Fourier transform of the aliasing error is established, from which we obtain an optimal L
We prove that the restriction operator for the sublaplacian on the quaternion Heisenberg group is bounded from L
if 1 ≤ p ≤
. This is different from the Heisenberg group, on which the restriction operator is not bounded from L
unless p = 1.
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