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Document Details :

Title: Chain Ladder Bias
Author(s): TAYLOR, Greg
Journal: ASTIN Bulletin
Volume: 33    Issue: 2   Date: November 2003   
Pages: 313-330
DOI: 10.2143/AST.33.2.503695

Abstract :
The chain ladder forecast of outstanding losses is known to be unbiased under suitable assumptions. According to these assumptions, claim payments in any cell of a payment triangle are dependent on those from preceding development years of the same accident year. If all cells are assumed stochastically independent, the forecast is no longer unbiased. Section 5 shows that, under rather general assumptions, it is biased upward. This result is linked to earlier work on some stochastic versions of the chain ladder.