One of the main problems in the advanced measurement approach to determine operational risk regulatory capital, consists of the computation of the distribution of losses when the data is made up of aggregated losses caused by different types of risk events in different business lines. A similar...

The problem of determining probability densities from data is important in many fields, in particular in insurance and risk analysis. The method of maximum entropy has proven to be a powerful tool to determine probability densities from a few values of its Laplace transform. This is so, even...

A risk manager may be faced with the following problem: she/he has obtained loss data collected during a year, but the data only contains the total number events and the total loss for that year. She/he suspects that there are different sources of risk, each occurring with a different frequency,...

One of the controversies of diversification is that it may not be beneficial to banks, as it tends to increase systemic risk. Recent theoretical and empirical work have addressed this problem. We argue, from a theoretical perspective, that this controversy ultimately depends on how risk is...

An important problem in the insurance and banking industries is that of pricing risk or premium valuation. When the empirical data is not large, and loss distributions are inferred from the data, a potentially large sample dependence of the premia on the data is to be expected. The maximum...

Diversification practices by banks affect their own risk of failing and the risk of the banking system as a whole (systemic risk). A seminal theoretical work has shown that linear diversification can reduce the risk of a bank failing, but at the cost of increasing systemic risk. Later, a...