About
71
Publications
4,395
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
33
Citations
Citations since 2017
Publications
Publications (71)
Partial Differential Equations (PDE) and Partial Integro-Differential Equations (PIDE) play a major role in financial mathematics and provide a powerful and consistent framework for pricing complex financial derivatives. However, since closed-form solutions are not available in general, numerical methods are often used.
The article considers financ...
The article considers some generalizations of the classical Black-Scholes models in finance, based on Lévy processes, additive processes and Grigellionis processes. All this processes can be considered as generalizations of the Brownian motion. Also, an alternative of Brownian motion is considered – telegraph processes – which may be used to descri...
The article presents the Cellular Neural Networks (CNN), their architectures and classifications. As a natural tool for approximation of Partial Differential Equations (PDE), CNN offer numerous applications for modeling phenomena in nature and society. Some of these applications are considered in the article.
Nowadays, there is a considerable flood risk in China is. A brief description of major floods on Yangtze River and Huang He River is given. Both big Chinese rivers have long records of floods with severe life and property damages. Quantification of the stochastic behaviour of the largest floods is a key task in the risk assessment and mitigation. A...
The paper proposes an approach for modeling inter-arrival time of floods. It is shown that the inter-arrival time between floods can be modeled by a newly proposed type of distribution called ST distributions. The corresponding stochastic point process registering the appearances of the floods is called ST process. ST distribution and process are d...
A natural disaster is a major adverse event resulting from natural processes
of the Earth which affects a vulnerable area and causes loss of life, health,
property and other economic values. The issue of mitigating the negative
impact of natural hazards on the society is of great importance today when we
strive to keep social sustainability. Common...
In this paper the mixed negative binomial distribution, known also as Pólya distribution is considered. We suppose that the mixing distribution is a weighted Gamma distribution. We derive the probability mass function and some special cases. The Panjer recursion formulas and some properties are given.
There are cases where the governments may not always serve the public interest. The implication seems to be that governments can help out but only if properly constrained. The impact of these ideas on monetary policy led to creation of Central banks. As far as fiscal policymaking is concerned, the evolution has been slower. It would seem that we ar...
The change in the wealth of a market agent (an investor, a company, a bank etc.) in an economy is a popular topic in finance. In this paper, we propose a general stochastic model describing the wealth process and give some of its properties and special cases. A result regarding the probability of default within the framework of the model is also of...
High resolution figure 3, for the CSSS raport
We take a simple, well-known model for the evolution of population where individuals compete for shared resources, and investigate the course of evolution if there is environmental stochasticity imposed on the model. In stable environments, the model is known to predict evolutionary branching, i.e. diversification towards the utilisation of differe...
Projects
Projects (9)
http://www.perun-holidays.com/conf_FAM_2017.htm
21-25.09.2017, Sofia, Bulgaria
FAM is an international conference which brings together academics and professionals in theory and practice of Insurance and Finance. Conference owner is the Society for Financial and Actuarial Mathematics - FAM - an international society of scholars and practitioners in the field of Finance and Insurance.
http://www.perun-holidays.com/conf_GB_2017.htm
25-28.08.2017
University of Economics
Varna, Bulgaria
"Globalization: business, finance and education" is an international conference which brings together academics and professionals in business and economy. Special chapters this year: Tourism, Information Technologies, Security, Migration, Finance, Insurance, Language Teaching.
"Globalization: business, finance and education" is an international conference which brings together academics and professionals in business and economy. Special chapters this year: Tourism, Information Technologies, Security, Migration, Finance, Insurance, Language Teaching.
