This paper aims to provide realistic modelling of generic noise probability density functions (pdfs). The target is to obtain a parametric model depending on few parameters, and being so general to be able to describe many kinds of noise (e.g., symmetric or asymmetric, with variable sharpness). A very general and easy-to-use function which is based on HOS parameters is presented and compared with other HOS-based pdfs; it is called asymmetric generalized Gaussian. A real case study is considered for comparing the various pdfs; it consists in modelling real underwater acoustic noise at low frequencies and applying the estimated models to designed locally optimum detection (LOD) tests.
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