This paper proves the existence, for a translation-invariant preorder on a divisible commutative group, of a complete preorder extending the preorder in question and satisfying translation invariance. We also prove that the extension may inherit a property of continuity. As an application, we...

In this paper, we discuss the models of continuous dynamics on the 2-simplex that arise when different qualitative restrictions are imposed on the (continuous) functions that generate the dynamics on the 2-simplex. We consider three types of qualitative restrictions: inequality (or...

This paper proves the existence, for a translation-invariant preorder on a divisible commutative group, of a complete preorder extending the preorder in question and satisfying translation invariance. We also prove that the extension may inherit a property of continuity. As an application, we...

In the first section of Das Kapital by Karl Marx different forms of values are analysed. From a mathematical point of view one can find therein structures, which correspond to elements of the mathematical theory of categories. These are especially the limit of cones and the definition of...

This article is concerned with frequency-domain analysis of dynamic linear models under the hypothesis of rational expectations. We develop a unified framework for conveniently solving and estimating these models. Unlike existing strategies, our starting point is to obtain the model solution...

We prove the existence, for a translation-invariant preorder on a divisible commutative group, of a complete preorder extending the preorder in question and satisfying translation invariance (theorem 1). We also prove that the extension may inherit a property of continuity (theorem 2). This...

Abstract Given a risk outcome y over a rating system {R_i }_(i=1)^k for a portfolio, we show in this paper that the maximum likelihood estimates with monotonic constraints, when y is binary (the Bernoulli likelihood) or takes values in the interval 0≤y≤1 (the quasi-Bernoulli likelihood), are...

Retrospective diagnostics of main financial results of activity (profit, earnings and yield of shares); business capital, market capitalization, EBITDA, operating margin and net profit margin, P / E, ROA, ROE, ROC as of 2018 and an average of 5 years; Consideration of Montier C-Score and...

У статті на основі даних фінансової звітності, консолідованої інформації на сайтах фондових бірж тощо здійснено аналіз фінансового стану 5 агрохолдингів...

The paper features an analysis of cryptocurrencies and the impact of the COVID- 19 pandemic on their effectiveness as a portfolio diversification tool. It does so by exploring the correlations between the continuously compounded returns on Bitcoin, Ethereum and the S&P500 Index, using a variety...