In the process of modernization of the Public Administration, which reaches the justice systems of the region, in order to solve a de legitimized system, with bureaucratic procedures, where there is discretion, violation of the rights of the accused and victims, And non transparency, non access to files by stakeholders and deprivation of liberty without sentences. Faced with this problem, Information and Communication Technologies are an instrument that has the potential to comply with the principles of publicity and transparency, streamline procedures, allow access to information and ensure prompt and expeditious justice, respecting the rights of Involved, as intended by the new Mexican criminal accusatory system. This paper aims to know the implementation of Information and Communication Technologies in the administration of justice in the State of Oaxaca, to determine their progress and limitations. The study is mixed, with the application of semi structured interviews to judges and litigation lawyers, to know their knowledge of ICT and the use they give to their processes of formalities As well as the documentary analysis that allows to know the legal advance and of the web pages on implantation of the TIC in the new adversarial accusatory system. In order to know the progress of the implementation of the new adversarial system, the databases on these advances will be analyzed and will determine if the use of ICT is being used in the processes that the law contemplates. María Esther Hernández-Ríos | Joselito Fernández Tapia | Guillermo Alfonso De la Torre-Gea "Bayesian Analysis as a Method to determine the Limitations and Advances of e-Justice" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-2 , February 2018, URL: https://www.ijtsrd.com/papers/ijtsrd2402.pdf