Keywords: Tumor growth with immunization Stochastic dynamics of tumor growth Asymmetric a-stable Lévy motion Lévy jump measure Mean residence time Escape probability a b s t r a c t The dynamical evolution of a tumor growth model, under immune surveillance and subject to asymmetric non-Gaussian a-stable Lévy noise, is explored. The lifetime of a tumor staying in the range between the tumor-free...

Stable distributions are a class of probability distributions that allow heavy tails and skewness. In addition to theoretical reasons for using stable laws, they are a rich family that can accurately model different kinds of financial data. We review the basic facts, describe programs that make it practical to use stable distributions, and give examples of these distributions in finance. A non-...

Recently several research works propose image segmentation algorithms using MSER. However they aim at segmenting out specific regions corresponding to user-defined objects. This paper proposes a novel algorithm based on MSER which segments natural images without user intervention and captures multi-scale structure. The algorithm collects MSERs and then partitions whole image plane by redrawing ...

Inferring the causal structure of a set of random variables from a finite sample of the joint distribution is an important problem in science. Recently, methods using additive noise models have been suggested to approach the case of continuous variables. In many situations, however, the variables of interest are discrete or even have only finitely many states. In this work we extend the notion ...

the determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. for solving these ill-posed inverse problems, galerkin method based on sinc basis functions for space and time will be used. to solve the system of linear equation, a noise is imposed and tikhonove regularization is applied. by using a sensor located at a point in the domain of $x$, say $...

In conventional radar signal and image processing, the background clutter and noise are assumed to follow the Gaussian model. Under this assumption, it has been shown that the conventional matched filter is optimal in target detection (Reference 1). However, recent research has found that many nonhomogeneous types of clutter and noise, such as sea clutter, do not fit the Gaussian model well bec...

In the frequency estimation of sinusoidal signals observed in impulsive noise environments, techniques based on Gaussian noise assumption are unsuccessful. One possible way to 6nd better estimates is to model the noise as an alpha-stable process and to use the fractional lower order statistics (FLOS) of the data to estimate the signal parameters. In this work, we propose a FLOS-based statistica...