In this thesis two contributions are made to the area of mathematical finance. First, in order to explain the non-trivial skewness and kurtosis that is observed in the time series data of constant maturity swap (CMS) rates, we employ the pure jump Levy processes, i.e. in particular Variance...

Deterministische Discounted Cash Flow Modelle (DCF-Modelle) greifen im Rahmen der Unternehmensbewertung lediglich auf einwertige Größen zurück. Bei stochastischen Modellen werden einzelne Plangrößen hingegen mehrwertig dargestellt, indem aus Wahrscheinlichkeitsverteilungen verschiedene...

The article examines the properties of generalized method of moments GMM estimators of utility function parameters. The research strategy is to apply the GMM procedure to generated data on asset returns from stochastic exchange economies; discrete methods and Markov chain models are used to...

This thesis studies local risk minimization, consistent interest-rate modeling, and their applications to life insurance.Part I considers local risk minimization, which is one possible approach to price and hedge claims in incomplete markets. In this first part, our two main results are...

When categorical data are misplaced into the wrong category, we say the data is affected by misclassification. This is common for data collection. It is well-known that naive estimators of category probabilities and coefficients for regression that ignore misclassification can be biased. In this...

Data Envelopment Analysis (DEA) is a multi-criteria data analysis methodology introduced by Charnes, Cooper, and Rhodes in 1978. Since that time, it has proven to be a valuable analysis tool for strategic, policy, and operational decision problems. Its primary use is to conduct performance...

The first part of my thesis is concerned with estimation for longitudinal data using generalized semi-parametric mixed models and multilevel generalized linear mixed models for a binary response. Likelihood based inferences are hindered by the lack of a closed form representation. Consequently,...

The goal of this dissertation is to provide a series of static and dynamic models of competitive multi-instrument, multi-sector, and multi-currency financial equilibrium which will yield the optimal composition of assets and liabilities in the portfolio of every sector of each country. The...

In ecological population management, years of animal counts are fit to nonlinear, dynamic models (e.g. the Ricker model) because the values of the parameters are of interest. The yearly counts are subject to measurement error, which inevitably leads to biased estimates and adversely affects...