Gaussian

• Gaußian

From Gauss +‎ -ian.

• IPA^(key): /ˈɡaʊs.i.ən/

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Gaussian (comparative more Gaussian, superlative most Gaussian)

1. (mathematics) Of or pertaining to Carl Friedrich Gauss.
   • 2016, N B Chakrabarti, “A Note on a Sum of Lognormals”, in arXiv‎^[1]:

     The problem of inversion of the mgf/chf of a sum of lognormals to obtain the CDF/pdf is considered with special reference to methods related to Post Widder technique, Gaussian quadrature and the Fourier series method.

2. (statistics) Normal.
   • 2015 September 11, “Hotspots of Malaria Transmission in the Peruvian Amazon: Rapid Assessment through a Parasitological and Serological Survey”, in PLOS ONE‎^[2], →DOI:

     The criterion for positivity was determined for each antigen of each species applying a mixture model to the PP data which assumed two inherent Gaussian distributions: a narrow distribution or seronegatives, and a broader distribution of seropositives.

Gaussian (plural Gaussians)

1. (mathematics) the Gaussian function.
   • 2016, Keaton Hamm, Jeff Ledford, “Regular Families of Kernels for Nonlinear Approximation”, in arXiv‎^[3]:

     These conditions provide a framework which encompasses some notable approximation kernels including splines, so-called cardinal functions, and many radial basis functions such as the Gaussians and general multiquadrics.

2. (statistics) the normal distribution.