Generalized Log-Normal Chain-Ladder

• Tác giả: D Kuang, B Nielsen
• Ngôn ngữ: eng
• Ký hiệu phân loại: 574.53 [Unassigned]
• Thông tin xuất bản: 2018
• Bộ sưu tập: Metadata
• ID: 162011

Tóm tắt

We propose an asymptotic theory for distribution forecasting from the log normal chain-ladder model. The theory overcomes the difficulty of convoluting log normal variables and takes estimation error into account. The results differ from that of the over-dispersed Poisson model and from the chain-ladder based bootstrap. We embed the log normal chain-ladder model in a class of infinitely divisible distributions called the generalized log normal chain-ladder model. The asymptotic theory uses small $\sigma$ asymptotics where the dimension of the reserving triangle is kept fixed while the standard deviation is assumed to decrease. The resulting asymptotic forecast distributions follow t distributions. The theory is supported by simulations and an empirical application.