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A new, efficient, and reliable approach to speeding up large-scale mixed signal circuit simulation is proposed for full-chip electrical statistical analysis. This approach has been verified with an industry 4 GHz/6-bit ADC/DAC/DEMUX ASIC design. The key idea is to retain at the transistor level those devices that need to be modelled statistically and their surrounding circuitry and to replace the other parts of the circuit by analog behavioral models. Instead of using unproven VHDL-AMS or Verilog-A simulators not optimized for statistical electrical analysis, a state-of-the-art model compiler, MCAST, is used to compile analog behavioral models automatically into a designer's preferred circuit simulator. With the model compiler, digital and analog circuits at the behavioral level can be simulated efficiently and seamlessly with analog circuits at the transistor level by a SPICE-like circuit simulator. In this way, full-chip mixed-signal circuit simulation is orders of magnitude faster than that at the transistor level. Further, the simulation accuracy is kept as close to that of transistor-level simulation as possible. This approach has been applied successfully to dynamic nonlinearity analysis of the ADC/DAC/DEMUX ASIC caused by device mismatching due to process variations, which was previously an extremely time consuming task.