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Modeling Stochastic Data Using Copulas for Applications in the Validation of Autonomous Driving

MCML Authors

Thomas Nagler

Prof. Dr.

Principal Investigator

Computational Statistics & Data Science

Abstract

The verification and validation processes of fully automated vehicles are linked to an almost intractable challenge of reflecting the real world with all its interactions in a virtual environment. Influential stochastic parameters need to be extracted from real-world measurements and real-time data, capturing all interdependencies, for an accurate simulation of reality. A copula is a probability model that represents a multivariate distribution, examining the dependence between the underlying variables. This model is used on drone measurement data from a roundabout containing dependent stochastic parameters. With the help of the copula model, samples are generated that reflect the real-time data. The resulting applications and possible extensions are discussed and explored.

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