Titlebook: Handbook on Loss Reserving; Michael Radtke,Klaus D. Schmidt,Anja Schnaus Book 2016 The Editor(s) (if applicable) and The Author(s), under

Sigmoidoscopy

,Bornhuetter–Ferguson Method,The Bornhuetter-Ferguson method is a prediction method based on the development pattern for quotas.

惊惶

,Bornhuetter–Ferguson Principle,Consider the run-off square of cumulative losses.

Immunoglobulin

ordain

Habituate

Chain Ladder Method (Models),In this article we present three sequential models in which assumptions are made on the first and second conditional moments of the cumulative losses, given the cumulative losses of older development years, and which justify the chain ladder method to a certain extent with regard to unbiasedness or optimality of the chain ladder predictors.

Debrief

Chain Ladder Method (Prediction Error),Consider the run-off square of cumulative losses.

收集

Collective Model,The representation of an aggregate claim amount . by means of the claim number N and the claim sizes . is particularly convenient when the claim sizes are independent and identically distributed and also independent of the claim number. These are precisely the assumptions of the collective model of risk theory.

Density

Devastate

Credibility Models (Loss Reserving),Credibility models and credibility predictors are also useful in loss reserving. Some particularities arise from the structure of the run-off square and from the task to determine credibility predictors of different reserves. We explain these particularities and then discuss three credibility models for loss reserving.

珍奇

Development Patterns (Basics),Most models and methods of loss reserving are based on the assumptions that every claim is finally settled in either the accident year or one of . subsequent development years and that the development of the losses of a given accident year over the . development years follows a ., which is identical for all accident years.