A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise Román Román, Patricia Serrano Pérez, Juan José Torres Ruiz, Francisco De Asís Multi-sigmoidal growth curves Diffusion processes Maximum likelihood estimation Model selection The authors would like to thank the three anonymous reviewers for their suggestions that have improved the content of the paper. The behaviour of many dynamic real phenomena shows different phases, with each one following a sigmoidal type pattern. This requires studying sigmoidal curves with more than one inflection point. In this work, a diffusion process is introduced whose mean function is a curve of this type, concretely a transformation of the well-known Gompertz model after introducing in its expression a polynomial term. The maximum likelihood estimation of the parameters of the model is studied, and various criteria are provided for the selection of the degree of the polynomial when real situations are addressed. Finally, some simulated examples are presented. 2020-05-07T10:50:12Z 2020-05-07T10:50:12Z 2019-06-13 journal article Román-Román, P.; Serrano-Pérez, J.J.; Torres-Ruiz, F. A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise. Mathematics 2019, 7, 541. [doi:10.3390/math7060541] http://hdl.handle.net/10481/61867 10.3390/math7060541 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España MDPI