The study of the big data subject matter in its advance already has its own history. Assuming as a basis the content analysis of article abstracts on big data, using e-library stocks of Association for Computing Machinery (ACM) and Institute of Electrical and Electronics Engineers (IEEE), one succeeds to monitor the life cycle phases of the big data paradigm and distinguish the stages of developing programs and algorithms from the technology update, including applications and their advanced renewals. In order to carry out the analysis, it is proposed to approximate the curves of cumulative frequencies of words, obtained from the corpus of texts by means of cubic parabolas, their parameters being in good concordance with ones of logistic curves.