An investigation into stochastic claims reserving models and the chain-ladder technique

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Credibility for the Chain Ladder Reserving Method (2008, methodology): “Moreover, we would like to remark that the Bayesian model considered in this paper is different to the Bayesian models considered for increments Di,j in Verrall [ 18 ] and [20].”
Stochastic Claims Reserving in General Insurance (2002, methodology): “…number of papers investigating the statistical basis of the chain-ladder technique, notably, Kremer (1982), Taylor & Ashe (1983), Renshaw (1989), Verrall (1989, 1990, 1991a, 1991b, 1994, 1996, 2000), Mack (1993, 1994a, 1994b), Murphy (1994), Schmidt & Schnaus (1996), Renshaw & Verrall (1998),…”
A Bayesian Generalized Linear Model for the Bornhuetter-Ferguson Method of Claims Reserving (2004, methodology): “The approach taken in this paper to the Bornhuetter-Ferguson method is based on the approach of Verrall (2000), in which it was shown that the chain-ladder technique could be expressed in a number of different ways as stochastic models.”
Bayesian Estimation of Outstanding Claim Reserves (2002, methodology): “We use the ‘profile’ likelihood with 2σ replaced by the mode of its posterior distribution under a non-informative prior, 1 2 2 − = v vs~σ , ν = TU-2k+1 Verral (2000), and carry out the rest of the analysis with this value taken as given and replaced in (15).”