This monograph presents some interesting applications of quantitative methods in studying the phenomena of economic processes using mathematical knowledge and tools. The area of scientific research is diversified and covers topics relating to macroeconomics, consumer theory, socio-economic development, households quality of life, heteroskedastic Vector Autoregressive models and credit risk models.

Publikacja bezpłatna, dostępna na stronie Uniwersytetu Ekonomicznego w Krakowie

Table of contents
• Introduction (Beata Ciałowicz)
• Merger of Populations and Aggregate Relative Deprivation (Jakub Bielawski)
  • 1. Introduction
  • 2. Aggregate relative deprivation
  • 3. Merger of populations
  • 4. Conclusions
• Convergence of Conflict Sets and Applications (Anna Denkowska)
  • 1. Introduction
  • 2. Origins of the basic notions
  • 3. Medial axes, conflict sets and Voronoi diagrams
  • 4. The lower and upper Kuratowski limits
  • 5. O-minimal structures
  • 6. Stability theorems – pre-published results and further research
  • 7. Applications
• The Angle between the 2-dimensional Linear Regression Model Lines (Albert Gardoń)
  • 1. Introduction
  • 2. Case report
  • 3. Discussion
  • 4. Conclusions
• Analysis of Football Players’ Labor Market Migrations Using Panel Gravity Models (Michał Górnik)
  • 1. Introduction
  • 2. Methods
  • 3. Results
  • 4. Discussion
• Selected Credit Risk Models (Stanisław Heilpern)
  • 1. Introduction
  • 2. Dependence
  • 3. Fuzziness
  • 4. Conclusion
• Optimal Path in Growth Model (Marta Kornafel)
  • 1. Introduction
  • 2. Γ-convergence as a tool in perturbed optimization
  • 3. Modified Ramsey model
  • 4. Conclusions
• Predictive Power Comparison of Bayesian Homoscedastic vs. Markov-switching Heteroscedastic VEC Models (Łukasz Kwiatkowski)
  • 1. Introduction
  • 2. VEC models with Markov-switching heteroscedasticity
  • 3. Bayesian model specification, estimation and prediction
  • 4. Empirical analysis
  • 5. Conclusions
• MCMC Method for the IG-MSF-SBEKK Model (Anna Pajor)
  • 1. Introduction
  • 2. The IG-MSF-SBEKK model
  • 3. Numerical implementation
  • 4. Empirical illustration
  • 5. Conclusions
• Indebted Households’ Self-assessment of their Financial Situation: Evidence from Poland (Agnieszka Wałęga)
  • 1. Introduction
  • 2. Data and methods
  • 3. Empirical results
  • 4. Conclusions