Model-based Measurement of Latent Risk in Time Series with Applications

Frits Bijleveld (), Jacques Commandeur (), Phillip Gould () and Siem Jan Koopman
Additional contact information
Frits Bijleveld: SWOV Institute for Road Safety Research, Netherlands
Jacques Commandeur: SWOV Institute for Road Safety Research, Netherlands
Phillip Gould: Monash University, Melbourne

No 05-118/4, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: This discussion paper resulted in an article in the Journal of the Royal Statistical Society Series A (2008). Vol. 171, issue 1, pages 265-277.

Risk is at the center of many policy decisions in companies, governments and other institutions. The risk of road fatalities concerns local governments in planning counter- measures, the risk and severity of counterparty default concerns bank risk managers on a daily basis and the risk of infection has actuarial and epidemiological consequences. However, risk can not be observed directly and it usually varies over time. Measuring risk is therefore an important exercise. In this paper we introduce a general multivariate framework for the time series analysis of risk that is modelled as a latent process. The latent risk time series model extends existing approaches by the simultaneous modelling of (i) the exposure to an event, (ii) the risk of that event occurring and (iii) the severity of the event. First, we discuss existing time series approaches for the analysis of risk which have been applied to road safety, actuarial and epidemiological problems. Seco! nd, we present a general model for the analysis of risk and discuss its statistical treatment based on linear state space methods. Third, we apply the methodology to time series of insurance claims, credit card purchases and road safety. It is shown that the general methodology can be effectively used in the assessment of risk.

Keywords: Actuarial statistics; Dynamic factor analysis; Kalman filter; Maximum likelihood; Road casualties; State space model; Unobserved components (search for similar items in EconPapers)
JEL-codes: C32 G33 (search for similar items in EconPapers)
Date: 2005-12-19
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Journal Article: Model‐based measurement of latent risk in time series with applications (2008)
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