A comparison of stochastic models that reproduce chain ladder reserve estimates

By T. Mack, G. Venter. 2000

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BOOTSTRAP METHODOLOGY IN CLAIM RESERVING (2003, methodology): “Moreover, in recent years, considerable attention has been given to discuss possible relationships between the chain ladder and various stochastic models (Mack (1993), (1994), Mack and Venter (2000), Verrall (1991), (2000), Renshaw and Verrall (1994), England and Verrall (1999), etc.).”
Credibility for the Chain Ladder Reserving Method (2008, methodology): “More details on these models and a comparison of other models related to the chain ladder method can be found in Mack [9], England and Verrall [5], Mack and Venter [12], Hess and Schmidt [7], and Mack [11].”
Chain-Ladder as Maximum Likelihood Revisited (2009, methodology): “Kremer (1985) and Mack (1991) have shown that the standard chain-ladder technique is reproduced through maximum likelihood estimation in a Poisson model; see also the discussion of Mack & Venter (2000), Verrall & England (2000).”
Stochastic Claims Reserving in General Insurance (2002, background): “…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), Barnett & Zehnwirth (1998), Mack & Venter (2000), and England & Verrall (1999, 2001).”