Abstract:
The number of people suffering from cancer and stroke continue to increase progressively. Critical illness insurance is one of the effective means for coping with the diseases effects. Although this type of insurance is very successful amongst patients who have suffered from critical illness but the insurance company still faced many threats like for example some insureds did not report their diagnosis instantly. This research exhibits the models to find time delay between diagnosis and settlement for critical illness insurance. This research use data of 840 insureds who hold the critical illness insurance from two Thai life insurance companies. Six factors considered in this research are age, gender, benefit type, benefit amount, insurance company and cause of claim. Benefit type is separated in two types. One is full accelerated and the other is stand alone. Cause of claims were separated into 8 groups as follows: cancer, liver disease, blood disorder, neurological disease, lung diseases, hypertension, heart diseases and other diseases. Two statistical models are used to analyze this data set. One is the Cox Proportional Hazard model. By using this model, age and insurance company factors are discovered affecting time delay. The other is the Bayesian approach by Burr and Log-Normal model. Burr model is more suitable than Log-Normal model. The factors affecting time delay in Burr model are age, insurance company and benefit type.