In this paper we propose a flexible framework for the design of weather index insurance (WII) based on penalized spline methods. The aim is to find the indemnity function which optimally characterizes the intricate relationship between agricultural production losses and weather variables and...

Value-at-Risk (VaR) and Conditional Tail Expectation (CTE) are the two most frequently applied risk measures in quantitative risk management. Recently, expectile has also attracted much attention as a risk measure due to its elicitability property. This paper establishes empirical likelihood...

In this paper, the Conditional Value-at-Risk (CVaR) is adopted to measure the total loss of multiple lines of insurance business and two nonparametric estimation methods are introduced to explore the optimal multivariate quota-share reinsurance under a mean-CVaR framework. While almost all the...