A Tool in Establishing Total Variation Convergence
نویسندگان
چکیده
منابع مشابه
Convergence in total variation on Wiener chaos
Let {Fn} be a sequence of random variables belonging to a nite sum of Wiener chaoses. Assume further that it converges in distribution towards F∞ satisfying Var(F∞) > 0. Our rst result is a sequential version of a theorem by Shigekawa [25]. More precisely, we prove, without additional assumptions, that the sequence {Fn} actually converges in total variation and that the law of F∞ is absolutely ...
متن کاملNanotechnology and Neuroscience Convergence: A Novel Tool for Neurotransmitters Monitoring
Since neurotransmitters significantly influence the brain activity, our understanding of the human brain will remain imperfect until all aspects relating to them become clear. One of the key challenges in neuroscience researches and therapies is elucidating the mechanisms by which the neurotransmitter release take place and is regulated in quantity and in time. Despite the enormous number of st...
متن کاملConvergence of an Iterative Method for Total Variation Denoising
In total variation denoising, one attempts to remove noise from a signal or image by solving a nonlinear minimization problem involving a total variation criterion. Several approaches based on this idea have recently been shown to be very eeective, particularly for denoising functions with discontinuities. This paper analyzes the convergence of an iterative method for solving such problems. The...
متن کاملConvergence in law implies convergence in total variation for polynomials in independent Gaussian, Gamma or Beta random variables
Abstract: Consider a sequence of polynomials of bounded degree evaluated in independent Gaussian, Gamma or Beta random variables. We show that, if this sequence converges in law to a nonconstant distribution, then (i) the limit distribution is necessarily absolutely continuous with respect to the Lebesgue measure and (ii) the convergence automatically takes place in the total variation topology...
متن کاملTotal Variation Regularization in
We propose computational algorithms for incorporating total varia-tional (TV) regularization in positron emission tomography (PET). The motivation for using TV is that it has been shown to suppress noise effectively while capturing sharp edges without oscillations. This feature makes it particularly attractive for those applications of PET where the objective is to identify the shape of objects...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1985
ISSN: 0002-9939
DOI: 10.2307/2045855