Sökning: "random matrix theory"
Visar resultat 1 - 5 av 60 avhandlingar innehållade orden random matrix theory.
1. Modeling the covariance matrix of financial asset returns
Sammanfattning : The covariance matrix of asset returns, which describes the fluctuation of asset prices, plays a crucial role in understanding and predicting financial markets and economic systems. In recent years, the concept of realized covariance measures has become a popular way to accurately estimate return covariance matrices using high-frequency data. LÄS MER
2. Topics on Game Theory
Sammanfattning : .... LÄS MER
3. Roughening in dimer models : Random matrix statistics and surface fluctuations
Sammanfattning : The field of mathematical statistical mechanics sits at the intersection of probability theory and mathematical physics. It consists of the rigorous analysis of models in statistical mechanics, such as dimer and lattice models - of which the Ising model is a classical example. LÄS MER
4. Free convolutions and the Pearcey process in random matrix theory
Sammanfattning : The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathematical physics and operator algebras. First, we examine elementary questions that arise in Voiculescu’s Free Probability Theory of non-commutative random variables. LÄS MER
5. Optimal portfolios in the high-dimensional setting : Estimation and assessment of uncertainty
Sammanfattning : Financial portfolios and diversification go hand in hand. Diversification is one of, if not, the best risk mitigation strategy there is. If an investment performs poorly, then it will not impact the performance of the portfolio much due to diversification. Modern Portfolio Theory (MPT) is a framework for constructing diversified portfolios. LÄS MER