Prediction law of mixed Gaussian Volterra processes

نویسندگان
چکیده

برای دانلود رایگان 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

Integral Transformations of Volterra Gaussian Processes

Acknowledgements First and foremost, I wish to thank my supervisor Esko Valkeila for giving me the possibility to write this thesis, for helpful guidance throughout its preparation and for precious advices. Especially, I would like to thank him for letting me do the things in my own way. I would like to thank Marina Kleptsyna for agreeing to act as my opponent in the public examination of the t...

متن کامل

Gaussian Processes for Prediction

We propose a powerful prediction algorithm built upon Gaussian processes (GPs). They are particularly useful for their flexibility, facilitating accurate prediction even in the absence of strong physical models. GPs further allow us to work within a complete Bayesian probabilistic framework. As such, we show how the hyperparameters of our system can be marginalised by use of Bayesian Monte Carl...

متن کامل

Measure-preserving transformations of Volterra Gaussian processes and related bridges

We consider Volterra Gaussian processes on [0, T ], where T > 0 is a fixed time horizon. These are processes of type Xt = R t 0 zX(t, s)dWs, t ∈ [0, T ], where zX is a square-integrable kernel, and W is a standard Brownian motion. An example is fractional Brownian motion. By using classical techniques from operator theory, we derive measure-preserving transformations of X, and their inherently ...

متن کامل

Volterra Filtering Techniques for Removal of Gaussian and Mixed Gaussian - Impulse Noise

In this paper, we propose a new class of Volterra series based filters for image enhancement and restoration. Generally the linear filters reduce the noise and cause blurring at the edges. Some nonlinear filters based on median operator or rank operator deal with only impulse noise and fail to cancel the most common Gaussian distributed noise. A class of second order Volterra filters is propose...

متن کامل

The Rate of Entropy for Gaussian Processes

In this paper, we show that in order to obtain the Tsallis entropy rate for stochastic processes, we can use the limit of conditional entropy, as it was done for the case of Shannon and Renyi entropy rates. Using that we can obtain Tsallis entropy rate for stationary Gaussian processes. Finally, we derive the relation between Renyi, Shannon and Tsallis entropy rates for stationary Gaussian proc...

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: Statistics & Probability Letters

سال: 2020

ISSN: 0167-7152

DOI: 10.1016/j.spl.2019.108594