Estimating Cost Ratio Distribution between Fatal and Non-Fatal Road Accidents in Malaysia

Road traffic crashes are a global major problem, and should be treated as a shared responsibility. In Malaysia, road accident tragedies kill 6,917 people and injure or disable 17,522 people in year 2012, and government spent about RM9.3 billion in 2009 which cost the nation approximately 1 to 2 percent loss of gross domestic product (GDP) reported annually. The current cost ratio for fatal and non-fatal accident used by Ministry of Works Malaysia simply based on arbitrary value of 6: 4 or equivalent 1.5:1 depends on the fact that there are six factors involved in the calculation accident cost for fatal accident while four factors for non-fatal accident. The simple indication used by the authority to calculate the cost ratio is doubted since there is lack of mathematical and conceptual evidence to explain how this ratio is determined. The main aim of this study is to determine the new accident cost ratio for fatal and non-fatal accident in Malaysia based on quantitative statistical approach. The cost ratio distributions will be estimated based on Weibull distribution. Due to the unavailability of official accident cost data, insurance claim data both for fatal and non-fatal accident have been used as proxy information for the actual accident cost. There are two types of parameter estimates used in this study, which are maximum likelihood (MLE) and robust estimation. The findings of this study reveal that accident cost ratio for fatal and non-fatal claim when using MLE is 1.33, while, for robust estimates, the cost ratio is slightly higher which is 1.51. This study will help the authority to determine a more accurate cost ratio between fatal and non-fatal accident as compared to the official ratio set by the government, since cost ratio is an important element to be used as a weightage in modeling road accident related data. Therefore, this study provides some guidance tips to revise the insurance claim set by the Malaysia road authority, hence the appropriate method that suitable to implement in Malaysia can be analyzed.