Matthias Richter

Matthias Richter
Westsächsische Hochschule Zwickau | WHZ · Faculty of Economics and Business Administration

Professor

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38
Publications
10,766
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102
Citations

Publications

Publications (38)
Article
Full-text available
The Covid-19 pandemic impact all public spheres of city inhabitants' lives, also changed the conditions of travel-ing by public transport, especially in the field of personal passenger safety. The introduced limits on people in public transport vehicles and the need to maintain social distancing or cover the mouth and nose in a public transport veh...
Article
Full-text available
Traffic incidents between pedestrians and cyclists result in an incomparably smaller number of victims (injured and killed) than accidents between unprotected traffic participants and other vehicles. However, such incidents cannot be underestimated, as in most cases they take place on elements of infrastructure designed for pedestrians and cyclists...
Article
Full-text available
Traffic calming is introduced to minimise the negative results of motor vehicle use, for example, low safety level or quality of life, high noise and pollution. It can be implemented through the introduction of road infrastructure reducing the velocity and the traffic volume. In this paper, we studied how traffic-calming influences the traffic assi...
Technical Report
Förderung der Fachhochschulen/FAW - "FH-Personal Konzept" : Verwendungsnachweis : Projektzeitraum: 01.11.2019-31.08.2020, Förderkennzeichen BMBF 03FHP043
Chapter
According to a definition by Institute of Transportation Engineers traffic calming is a set of measures, the purposes of which is to reduce the negative effects of motor vehicle use, alter driver behaviour and improve conditions for nonmotorised street users. That includes reduction of traffic volume, thus noise and air pollution, improvement of ro...
Conference Paper
Full-text available
Effectuation is a theory in the field of entrepreneurship research. It has been discussed from different perspectives since the early 2000s and developed over time. This paper gives an overview on how effectuation theory was considered until now and what is the state of the art. Furthermore a short critical review of existing simulation and agent-b...
Article
The present paper deals with several aspects and procedures of identification in a financial market model with time-dependent volatility function and mean reverting stochastic drift term. For this term, an external source of randomness is permitted. In this context, the corresponding inverse problem of option pricing is considered. Here it is of im...
Article
Due to the random character of input data of a great variety of technical and economical procedures it seems to be appropriate to model these procedures by stochastic initial boundary value problems (IBVP). This paper deals with IBVP for parabobc partial differential equations where a Neumann boundary condition is assumed to be a random field with...
Article
In this paper, we study mathematical properties of a generalized bivariate Ornstein-Uhlenbeck model for financial assets. Originally introduced by Lo and Wang, this model possesses a stochastic drift term which influences the statistical properties of the asset in the real (observable) world. Furthermore, we generali- ze the model with respect to a...
Article
The article considers a problem of inverse option pricing aimed at the identification of a not directly observable time-dependent volatility function from maturity-dependent option prices. In this situation, an important aspect is the calibration of the antiderivative of the squared volatility. This inverse problem leads to an operator equation wit...
Article
Full-text available
The paper investigates the impact of adding a shortfall risk constraint to the problem of a portfolio manager who wishes to maximize his utility from the portfolios terminal wealth. Since portfolio managers are often evaluated relative to benchmarks which depend on the stock market we capture risk management considerations by allowing a prespecifie...
Article
Full-text available
The ride of the tram along the line, defined by a time-table, consists of the travel time between the subsequent sections and the time spent by tram on the stops. In the paper, statistical data collected in the city of Krakow is presented and evaluated. In polish conditions, for trams the time spent on stops makes up the remarkable amount of 30 % o...
Article
Full-text available
In this paper, we consider the inverse problem of calibrating a generalization of the bivariate Ornstein-Uhlenbeck model introduced by Lo and Wang. Even though the generalized Black-Scholes option pricing formula still holds, option prices change in comparison to the classical Black-Scholes model. The time-dependent volatility function and the othe...
Article
In dieser Arbeit werden parabolische Randanfangswertprobleme mit zufälliger Anfangs- und Neumann-Randbedingung betrachtet. Die zufälligen Einflußgrößen werden dabei als epsilon-korrelierte, zufällige Felder modelliert. Das Hauptinteresse liegt auf der Berechnung stochastischer Kenngrößen der auf Basis der Finite-Elemente Methode erhaltenen Lösung d...
Article
Full-text available
The paper investigates dynamic optimal portfolio strategies of utility maximizing portfolio managers in the presence of risk constraints. Especially we consider the risk, that the terminal wealth of the portfolio falls short of a certain benchmark level which is proportional to the stock price. This risk is measured by the Expected Utility Loss. We...
Article
For analysis and planing of transport networks detailed information concerning travel sequences is required. The paper examines an activity chain model to determine stochastic travel demand which individual generates in order to participate in activity or sequence of activities over the day. The transition from one activity to another depends on th...
Article
Full-text available
In the paper we study sequences of random functions which are defined by some interpolation procedures for a given random function. We investigate the problem in what sense and under which conditions the sequences converge to the prescribed random function. Sufficient conditions for convergence of moment characteristics, of finite dimensional distr...
Article
Full-text available
The paper considers approximations of time-continuous epsilon-correlated random processes by interpolation of time-discrete Moving-Average processes. These approximations are helpful for Monte-Carlo simulations of the response of systems containing random parameters described by epsilon-correlated processes. The paper focuses on the approximation o...
Article
Empirical autocorrelation functions of returns of stochastic price processes show phenomena of correlation on small intervals of time, which decay to zero after a short time. The paper deals with the concept of weakly correlated random processes to describe a mathematical model which takes into account this behaviour of statistical data. Weakly cor...
Article
Empirical autocorrelation functions of returns of stochastic price processes show phenomena of correlation on small intervals of time, which decay to zero after a short time. The paper deals with the concept of weakly correlated random processes to describe a mathematical model which takes into account this behaviour of statistical data. Weakly cor...
Article
Boundary value problems for a class of ordinary differential operators with random coefficients are investigated. The random influences to the differential operators and the inhomogeneous terms are modelled by the class of weakly correlated processes. Using a perturbation method the random solutions can be represented as integral functionals of wea...
Article
The paper is dedicated to the modeling and the simulation of random processes and fields. Using the concept and the theory of weakly correlated functions a consistent representation of sufficiently smooth random processes will be derived. Special applications will be given with respect to the simulation of road surfaces in vehicle dynamics and to t...
Article
Full-text available
In this paper a random Sturm-boundary-value problem is considered. Thereby, the random coefficients belong to the class of weakly correlated functions, which can be characterized as functions "without distance effect". There exist various solution methods for this problem in the literature. The aim is to compare these methods and to examine their c...
Article
Full-text available
From passenger's perspective, punctuality is one of the most important features of tram route operation. We present a stochastic simulation model with special focus on deter- mining important factors of influence. The statistical analysis bases on large samples (sample size is nearly 2000) accumulated from comprehensive measurements on eight tram r...
Article
Several results concerning the distribution of the headway of buses in the flow be- hind a traffic signal are presented. In the main focus of interest is the description of analytical models, which are verified by the results of Monte-Carlo-Methods. The advantage of analyti- cal models (verified, but not derived by simulation methods) is their flex...
Article
Full-text available
The paper considers approximations of time-continuous "-correlated random processes by interpolation of time-discrete Moving-Average processes. These ap- proximations are helpful for Monte-Carlo simulations of the response of systems containing random parameters described by "-correlated processes. The paper fo- cuses on the approximation of statio...
Article
Full-text available
A high response time to customer requests, many product variants and a rising pressure of prices are challenges for businesses in the global-based economy. In particular, the use of integrated software solutions offers the chance of a competitive advantage by reducing the processing time and increasing flexibility regarding product development. The...
Article
Zusammenfassung In der vorliegenden Arbeit werden einige Aspekte der Bestimmung gewisser reellwerti-ger Parameter eines Modells zur Beschreibung des Aktienpreises behandelt. Das biva-riate Ornstein-Uhlenbeck Modell zeichnet sich durch die Möglichkeit aus, verschiedene Abhängigkeitsstrukturen der Returns abbilden zu können. Eine adäquate Modellident...
Article
Von der Professur Stochastik der Fakultät für Mathematik der Technischen Universität Chemnitz werden seit 1995 regelmäßig jedes Jahr im Herbst die Workshops "Stochastische Analysis" organisiert. Ausgewählte Beiträge werden in Form eines Tagungsbandes veröffentlicht. Der 12. Workshop "Stochastische Analysis" fand vom 20.09.2006 bis zum 22.09.2006 in...
Article
Von der Professur Stochastik der Fakultät für Mathematik der Technischen Universität Chemnitz werden seit 1995 regelmäßig jedes Jahr im Herbst die Workshops "Stochastische Analysis" organisiert. Ausgewählte Beiträge werden seit 2003 in Form eines Tagungsbandes veröffentlicht. Der 10. Workshop "Stochastische Analysis" fand vom 27.09.2004 bis z...
Article
Von der Professur Stochastik der Fakultät für Mathematik der Technischen Universität Chemnitz werden seit 1995 regelmäßig jedes Jahr im Herbst die Workshops "Stochastische Analysis" organisiert. Ausgewählte Beiträge sollen erstmals in Form eines Tagungsbandes veröffentlicht werden. Eine jährliche Fortsetzung ist geplant. Der 9. Workshop "Stochastis...

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