Voltage and current references are widely needed for all kinds of integrated circuits, as most applications require temperature-independent references with a high reproducibility in mass production. For this purpose normally bandgap references are used. Though it is a common task to set up an application specific bandgap circuit, handling of the statistical design aspects is often not a standardized step in the design flow. This article describes some of the steps that were taken during the design of a bandgap reference for a given VLSI application. All statistical simulations were carried out with the simulation tool GAME (General Analysis of Mismatch Effects) which is used at Infineon/D¨usseldorf since 1999.