Energy of taut strings accompanying Wiener process
نویسندگان
چکیده
منابع مشابه
Extensions of smoothing via taut strings
among all candidate functions f . Here ρ is some convex function depending on the particular regression function we have in mind, TV(f) stands for the total variation of f , and λ > 0 is some tuning parameter. This framework is extended further to include binary or Poisson regression, and to include localized total variation penalties. The latter are needed to construct estimators adapting to i...
متن کاملLinear transformations of Wiener process that born Wiener process, Brownian bridge or Ornstein-Uhlenbeck process
Investigation of asymptotic properties of a statistical estimator or of a testing statistic often leads to a linear transformation of a Wiener process that born a Wiener process or a Brownian bridge. Let us recall some typical examples of such transformations. Provided a Wiener process (W(t) , £ > 0) the processes (^W(a • t) ,t > 0), a T-: 0 and (tW(\) , £ > 0) are Wiener processes and (W(t) tW...
متن کاملFrom Ternary Strings to Wiener Indices of Benzenoid Chains
An explicit, non-recursive formula for the Wiener index of any given benzenoid chain is derived, greatly speeding up calculations and rendering it manually manageable, through a novel envisioning of chains as ternary strings. Previous results are encompassed and two completely new and useful ones are obtained, a formula to determine Wiener indices of benzenoid chains in periodic patterns, and a...
متن کاملDark Energy from Strings
A long-standing problem of theoretical physics is the exceptionally small value of the cosmological constant Λ ∼ 10−120 measured in natural Planckian units. Here we derive this tiny number from a toroidal string cosmology based on closed strings. In this picture the dark energy arises from the correlation between momentum and winding modes that for short distances has an exponential fall-off wi...
متن کاملEnergy and Wiener Index of Unit Graphs
In this paper, we are giving MATLAB program to find the energy and Wiener index of unit graphs. Our program demonstrates an intrinsic relationship between the elements of ring and structural properties of graphs. The unit graph G(Zn) turns out to be strongly regular when n = 2k. Several new directions for further research are also indicated by means of raising problems.
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: Stochastic Processes and their Applications
سال: 2015
ISSN: 0304-4149
DOI: 10.1016/j.spa.2014.09.020