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Document Details :

Title: Additivity of Chain-Ladder Projections
Author(s): AINE, Björn
Journal: ASTIN Bulletin
Volume: 24    Issue: 2   Date: November 1994   
Pages: 311-318
DOI: 10.2143/AST.24.2.2005072

Abstract :
In this paper some results are given on the addivity of chain-ladder projections. Given two claims development triangles, when do their chain-ladder projections add up to the projections of the combined triangle, that is the triangle being the element-wise sum of the two given triangles?
Necessary and sufficient conditions for equality are given. These are of a fairly simply form and are directly connected to the ordinary chain-ladder calculations. In addition, sufficient conditions of the same form are given for inequality between the combined projection vector and the sum of the two original projections vectors.