Forecasting with the age-period-cohort model and the extended chain-ladder model

被引:59
作者
Kuang, D. [1 ]
Nielsen, B. [2 ]
Nielsen, J. P. [3 ]
机构
[1] Univ Oxford, Dept Stat, Oxford OX1 3TG, England
[2] Univ Oxford Nuffield Coll, Oxford OX1 1NF, England
[3] City Univ London, Cass Business Sch, London EC1Y 8TZ, England
基金
英国经济与社会研究理事会;
关键词
Age-period-cohort model; Chain-ladder model; Forecasting; Identification;
D O I
10.1093/biomet/asn038
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We consider forecasting from age-period-cohort models, as well as from the extended chain-ladder model. The parameters of these models are known only to be identified up to linear trends. Forecasts from such models may therefore depend on arbitrary linear trends. A condition for invariant forecasts is proposed. A number of standard forecast models are analysed.
引用
收藏
页码:987 / 991
页数:5
相关论文
共 9 条
[1]  
Barnett G., 2000, P CASUALTY ACTUARI 2, V87, P245
[2]   BAYESIAN-ANALYSIS OF SURVIVAL ON MULTIPLE TIME SCALES [J].
BERZUINI, C ;
CLAYTON, D .
STATISTICS IN MEDICINE, 1994, 13 (08) :823-838
[3]   Age-period-cohort models for the Lexis diagram [J].
Carstensen, B. .
STATISTICS IN MEDICINE, 2007, 26 (15) :3018-3045
[4]   MODELS FOR TEMPORAL VARIATION IN CANCER RATES .2. AGE PERIOD COHORT MODELS [J].
CLAYTON, D ;
SCHIFFLERS, E .
STATISTICS IN MEDICINE, 1987, 6 (04) :469-481
[5]  
CLEMENTS MP, 1999, FORECASTING NONSTATI
[6]  
England P. D., 2002, British Actuarial Journal, V8, P443, DOI [DOI 10.1017/S1357321700003809, 10.1017/s1357321700003809]
[7]   STATISTICAL-INFERENCE IN THE LEXIS DIAGRAM [J].
KEIDING, N .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 332 (1627) :487-509
[8]  
KUANG D, 2008, BIOMETRIKA, DOI DOI 10.1093/BI0MET/ASN026
[9]  
[No title captured]