Doctoral students will be able to:

  • CB11 - Develop systematic understanding of a field of study and master the research skills and methods related to that field.
  • CB12 - Conceive, design, create and implement a substantial research process or process of creation.
  • CB13 - Contribute to the expansion of the boundaries of knowledge through original research.
  • CB14 - Critically analyse, evaluate and synthesise new and complex ideas.
  • CB15 - Communicate with the academic and scientific community and with society at large about their fields of knowledge in the modes and languages commonly used in their international scientific community.
  • CB16 - Foster — in academic and professional contexts — scientific, technological, social, artistic or cultural advances within a knowledge-based society.


  • CA01 - Make progress in contexts where there is little specific information.
  • CA02 - Identify the key questions that need to be answered to solve a complex problem.
  • CA03 - Design, create, develop and undertake novel and innovative projects in their field of knowledge.
  • CA04 - Work both in a team and independently in an international or multidisciplinary context.
  • CA05 - Integrate knowledge, deal with complexity, and formulate judgments with limited information.
  • CA06 - Critique and defend solutions in an intellectual way.


  • CE1 - Identify probabilistic and statistical analysis methodologies that are suitable for the study of different aspects related to observable phenomena or systems, in an environment of uncertainty.
  • CE2 - Compare, in qualitative and quantitative terms, alternative methodologies and techniques applicable to the probabilistic and statistical study of phenomena or system.
  • CE3 - Interpret the validity and significance of research results based on the application of statistical methodologies.
  • CE4 - Recognise and establish forms of statistical and stochastic modelling suited to the dynamics of phenomena and systems.
  • CE5 – Argue, through mathematical and computational procedures, for the validity of results and hypotheses in the field of probabilistics and statistics.