Statistics is central to many endeavours in society. Whether it be through surveys from sampling, clinical trials to study various biomedical treatments or experimental designs in agriculture or industry, statistical methodology can be found everywhere in science. Recently, statistics has been undergoing a revolution in its techniques and its approaches. This revolution has been driven by the need to analyze very large data sets, data with more complex structure, and by the advent of powerful computers. For example, statistical methodology is now addressing problems whose structure is more complex, such as brain images or genome data and new methodology is developed for large data sets. Data-mining is one of the tools used. The laboratory aims at structuring the Québec community to engage with this revolution at a time of an important renewal of academic personnel. This structure allows the Québec community to benefit from a new pan-Canadian program in analysis of complex data organized by the three Canadian mathematics institutes. The laboratory is composed of the leaders of the Québec school of statistics who work on subjects such as statistical learning and neuronal networks, survey sampling, analysis of functional data, statistical analysis of images, dependence structures, Bayesian analysis, analysis of time series and financial data, as well as resampling methods.