The paper deals with decision optimization of the integration of distributed generation with electrical grid. Presented algorithm is based on technical and economic factors of integration of distributed generation. A Linear Programming Methodology, where the various alternatives of distributed...

We develop a new class of continuous-time models based on the solutions of tempered fractional Langevin equations for Ornstein–Uhlenbeck process driven by Levy noise. We present methods of simulation of sample paths of such processes. We show how to use such models in modeling short term...

Because of the increasing number of distributed energy sources integrated with the distribution network various optimization methods are very useful in determining the optimal placement, type and size of the distributed generators. One of the most commonly used algorithms are so called...

In this paper we consider a generalization of one of the earliest models of an asset price, namely the Black–Scholes model, which captures the subdiffusive nature of an asset price dynamics. We introduce the geometric Brownian motion time-changed by infinitely divisible inverse subordinators,...

CONTENTS: 1. Methodology; 2. Strategic Analysis (Foresight, SWOT); 3. Forecast for the Power Sector in Lower Silesia for the period 2010-2020; 4. Mission and Strategic Goals; 5. Action Programs.

This paper presents methods for detecting the period of non Gaussian PC processes. A new statistic for testing periodic correlation is proposed. It is based on the bootstrap procedure which is used to estimate confidence intervals of coherence statistic. This method is linked to that of Hurd and...

The aim of this Ph.D. thesis is to apply specific statistical tools known and used in finance and risk management to the area of actuarial mathematics. The need for an interdisciplinary approach in both actuarial world and risk management has emerged and has recently been addressed by numerous...

We derive the asymptotic behavior of two measures of dependence (Codifference and Covariation) for ARMA(1,2) models with symmetric alpha-stable innovations and non-stationary coefficients.

This empirical paper is a continuation of our earlier work on time series forecasting of day-ahead electricity prices. Given the controversy in the literature whether to use one large model across all hours or 24 separate models, we study if the model structure (and not only the coefficients)...

In this paper, we demonstrate some properties of Alpha-stable (stable) random variables and processes. It turns out that with the use of suitable statistical estimation techniques, computer simulation procedures and numerical discretization methods it is possible to construct approximations of...