A new general fitting method based on the Self-Similar (SS) organization of random sequences is presented. The proposed analytical function helps to fit the response of many complex systems when their recorded data form a self-similar curve. The verified SS principle opens new possibilities for the fitting of economical, meteorological and other complex data when the mathematical model is absent but the reduced description in terms of some universal set of the fitting parameters is necessary. This fitting function is verified on economical (price of a commodity versus time) and weather (the Earth's mean temperature surface data versus time) and for these nontrivial cases it becomes possible to receive a very good fit of initial data set. Th...
An estimator of the self-similarity parameter for certain classes of random processes is presented. ...
Abstract – A simple quantitative measure of the self-similarity in time-series in general and in the...
on the occasion of his 70th birthday Selfsimilar processes such as fractional Brownian motion are st...
A new general fitting method based on the Self-Similar (SS) organization of random sequences is pres...
A new general fitting method based on the Self-Similar (SS) organization of random sequences is pres...
Many random signals with clearly expressed trends can have selfsimilar properties. In order to see t...
Within Tsallis statistics, a picture is elaborated to treat self-similar time series as a thermodyna...
This paper presents a generalized approach to the fractal analysis of self-similar random processes ...
Introduction A self-similar process is loosely defined as a stochastic process which generates a sa...
In studying the scale invariance of an empirical time series a twofold problem arises: it is necessa...
In this paper the new prediction method based on analysis of the integrated (cumulative) curves is s...
Self-similarity, fractal behaviour and long-range dependence are observed in various branches of phy...
Introduction A stochastic process Y (t) is defined as self-similar with self-similarity parameter H...
It is shown that stretched exponential form of probability density of the random fractal systems is...
The most usual records of observable agro-meteorological quantities are in the form of time series a...
An estimator of the self-similarity parameter for certain classes of random processes is presented. ...
Abstract – A simple quantitative measure of the self-similarity in time-series in general and in the...
on the occasion of his 70th birthday Selfsimilar processes such as fractional Brownian motion are st...
A new general fitting method based on the Self-Similar (SS) organization of random sequences is pres...
A new general fitting method based on the Self-Similar (SS) organization of random sequences is pres...
Many random signals with clearly expressed trends can have selfsimilar properties. In order to see t...
Within Tsallis statistics, a picture is elaborated to treat self-similar time series as a thermodyna...
This paper presents a generalized approach to the fractal analysis of self-similar random processes ...
Introduction A self-similar process is loosely defined as a stochastic process which generates a sa...
In studying the scale invariance of an empirical time series a twofold problem arises: it is necessa...
In this paper the new prediction method based on analysis of the integrated (cumulative) curves is s...
Self-similarity, fractal behaviour and long-range dependence are observed in various branches of phy...
Introduction A stochastic process Y (t) is defined as self-similar with self-similarity parameter H...
It is shown that stretched exponential form of probability density of the random fractal systems is...
The most usual records of observable agro-meteorological quantities are in the form of time series a...
An estimator of the self-similarity parameter for certain classes of random processes is presented. ...
Abstract – A simple quantitative measure of the self-similarity in time-series in general and in the...
on the occasion of his 70th birthday Selfsimilar processes such as fractional Brownian motion are st...
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