Ill-posed problems with counts, the composite link model and penalized likelihood

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Modelling general patterns of digit preference (2008, methodology): “4.1 The CLM for a smooth latent distribution Thompson and Baker (1981) present the CLM and the estimation algorithm very succinctly, and Eilers (2007) extended the approach to smooth latent distributions estimated by penalized likelihood.”
Twenty years of P-splines (2015, methodology): “In Section 2 we start with a description of basic Psplines, the combination of a B-spline basis and a penalty on differences of coefficients.”