Multichannel deconvolution with long-range dependence: A minimax study

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Minimax SO(N) Deconvolution

Minimax results are obtained for the SO(N)?deconvolution problem under diierent smoothness classes for the error distribution. Here smoothness is deened in terms of the operator norm of the characteristic function of the error distribution. For smooth error distributions the L 2 ?rate of convergence is polynomial while for super-smooth error distributions the L 2 ?rate of convergence is logarit...

متن کامل

Long Range Dependence

The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connections with non-stationary processes, with ergodic theory, self-similar processes and fractionally differenced processes, heavy tails and light tails, limit theorems and large deviations.

متن کامل

Long-Range Dependence: revisiting Aggregation with Wavelets

The aggregation procedure is a natural way to analyse signals which exhibit long-range dependent features and has been used as a basis for estimation of the Hurst parameter, H. In this paper it is shown how aggregation can be naturally rephrased within the wavelet transform framework, being directly related to approximations of the signal in the sense of a Haar-multiresolution analysis. A natur...

متن کامل

Stochastic Volatility with Long–Range Dependence

Since Merton (1969), the description of a contingent claim as a Brownian motion is commonly accepted. Thus an option price, a future price, a share price, a bond price, interest rates etc., can be modelled with a Brownian motion. In summary, any financial series which present value depends on only a few previous values, may be modelled with a continuous–time diffusion–type process. The general ...

متن کامل

Fractional Processes with Long-range Dependence

Abstract. We introduce a class of Gaussian processes with stationary increments which exhibit long-range dependence. The class includes fractional Brownian motion with Hurst parameter H > 1/2 as a typical example. We establish infinite and finite past prediction formulas for the processes in which the predictor coefficients are given explicitly in terms of the MA(∞) and AR(∞) coefficients. We a...

متن کامل

ذخیره 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: Journal of Statistical Planning and Inference

سال: 2014

ISSN: 0378-3758

DOI: 10.1016/j.jspi.2013.12.008