Fight against road unsafety is a French government priority. The policy conducted since 2002 allowed to obtain undeniable success. Despite this improvement, road accidents have very serious consequences on human level for road users. The proposed methods to reduce these accidents involve independence between criteria of accident risk. The objective of this study is to estimate the multidimensional risk of failure trajectory. It consists to investigate a new method of risk assessment in order to better characterize the dependence structure between the vehicle criteria for safety acceptance. This requires the use of simulation techniques such as copulas methods. This function connects the joint probability distribution to the marginal distribution. Thus, it contains all information on the dependence structure of models. However, the difficulty of multidimensional risk is to choose the copula which capture the better dependence between criteria. To select an adequate copula must be based on a statistical test. The χ 2 test used in the framework of the adjustment of a parametric distribution to an empirical distribution is in this regard an interesting tool for the choice of copula. The experiments have shown the relevance and effectiveness of this method. The results will help to better assess the risk of failure trajectory for vehicles.

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