Transcription of Loss reserving techniques: past, present and future
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loss reserving techniques: past , present and futureGreg TaylorTaylor Fry Consulting Actuaries &University of MelbourneGrainne McGuireTaylor Fry Consulting ActuariesAlan GreenfieldTaylor Fry Consulting ActuariesEvolution of loss reserving models3 Overview Taxonomy of loss reserving models Evolution of such models through past to present Examination of one of the higher species of model in more detail Some predictions of future evolution4 Classification of loss reserving models Taxonomy of models Considered in Taylor (1986) Stochasticity Model structure Macro or Micro Dependent variables Paid losses or incurred losses Claim counts modelled or not Explanatory variables5 Classification of loss reserving models Research for subsequent book (Taylor, 2000) About half loss reserving literature later than 1986 New techniques introduced Revise classification?6 Classification of loss reserving models Major dimensions for modern classification Stochasticity Dynamism Model (algebraic) structure Parameter estimationDimen-sion2 Dimension 17 Classification of loss reserving models Typical trianglejiC(i,j) For the sake of the subsequent discussion, assume that we are concerned with a triangle of values of some observed claim statistic C(i,j) fori = accident periodj = development period8 Classification of loss reserving models -Stochasticity Stochastic model Observations C(i,j) assumed to have formal error structure:C(i,j) = (i,j) + e(i,j)parameterstochastic
Loss reserving techniques: past, present and future Greg Taylor Taylor Fry Consulting Actuaries & University of Melbourne Grainne McGuire Taylor Fry Consulting Actuaries
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