most citedDesigning Illumination Lenses and Mirrors by the Numerical Solution of Monge-Ampère Equations

72 citations · 121 across the 5 of their papers we have counts for

collaborators

6 papers

q-fin.TR2015★ 1 cited

Correctness of Backtest Engines

Robert Löw, Stanislaus Maier-Paape, Andreas Platen

In recent years several trading platforms appeared which provide a backtest engine to calculate historic performance of self designed trading strategies on underlying candle data.…

physics.optics2015★ 72 cited

Designing Illumination Lenses and Mirrors by the Numerical Solution of Monge-Ampère Equations

Kolja Brix, Yasemin Hafizogullari, Andreas Platen

We consider the inverse refractor and the inverse reflector problem. The task is to design a free-form lens or a free-form mirror that, when illuminated by a point light source, pr…

q-fin.ST2015

Lead-Lag Relationship using a Stop-and-Reverse-MinMax Process

Stanislaus Maier-Paape, Andreas Platen

The intermarket analysis, in particular the lead-lag relationship, plays an important role within financial markets. Therefore a mathematical approach to be able to find interrelat…

q-fin.TR2014

Backtest of Trading Systems on Candle Charts

Stanislaus Maier-Paape, Andreas Platen

In this paper we try to design the necessary calculation needed for backtesting trading systems when only candle chart data are available. We lay particular emphasis on situations…

q-fin.ST2014★ 7 cited

Empirical Study of the 1-2-3 Trend Indicator

Yasemin Hafizogullari, Stanislaus Maier-Paape, Andreas Platen

In this paper we study automatically recognized trends and investigate their statistics. To do that we introduce the notion of a wavelength for time series via cross correlation an…

math.NA2014★ 41 cited

Solving the Monge-Ampère Equations for the Inverse Reflector Problem

Kolja Brix, Yasemin Hafizogullari, Andreas Platen

The inverse reflector problem arises in geometrical nonimaging optics: Given a light source and a target, the question is how to design a reflecting free-form surface such that a d…