Рассмотрена задача построения канонических форм нелинейных систем, описываемых непрерывными и дискретными динамическими моделями.

Fixed coecients State-Space and VARMAX models are equivalent, meaning that they are able to represent the same linear dynamics, being indistinguishable in terms of overall fit. However, each representation can be specifically adequate for certain uses, so it is relevant to be able to choose...

We propose two new algorithms to go from any state-space model to an output equivalent and invertible Vector AutoRegressive Moving Average model with eXogenous regressors (VARMAX). As the literature shows how to do the inverse transformation, these results imply that both representations,...

There are a number of econometrics tools to deal with the different types of situations in which cointegration can appear: I(1), I(2), seasonal, polyno- mial, etc. There are also different kinds of Vector Error Correction models related to these situations. The authors propose a unified...

There are a number of econometrics tools to deal with the different type of situations in which cointegration can appear: I(1), I(2), seasonal, polynomial, etc. There are also different kinds of Vector Error Correction models related to these situations. We propose a unified theoretical and...

There are a number of econometrics tools to deal with the different type of situations in which cointegration can appear: I(1), I(2), seasonal, polynomial, etc. There are also different kinds of Vector Error Correction models related to these situations. We propose a unified theoretical and...

There are a number of econometrics tools to deal with the different types of situations in which cointegration can appear: I(1), I(2), seasonal, polyno- mial, etc. There are also different kinds of Vector Error Correction models related to these situations. The authors propose a unified...

В статье разработан систематический метод вычисления приближенной цены для широкого класса ценных бумаг с помощью инструментов спектрального анализа,...

Статья посвящена новому разделу науки о рисках, в основе которой лежит спектральная теория случайных процессов. Спектральная теория позволяет расширить наши...

The article develops a systematic method of calculation of an approximate price for a wide range of securities with the help of instruments of spectral analysis, singular and regular wave theory. Price of options depend on stochastic volatility, which depends on a method. Finding the price is...