Actuaries intuitively feel that positive correlations between individual risks reveal a more dangerous situation compared to independence. The purpose of this short note is to formalize this natural idea. Specifically, it is shown that the sum of risks exhibiting a weak form of dependence known...

This paper examines an integrated ratemaking scheme including a priori risk classification and a posteriori experience rating. In order to avoid the high penalties implied by the quadratic loss function, the symmetry between the overcharges and the undercharges is broken by introducing...

The aim of this paper is to apply the method proposed by Denuit, Genest andMarceau (1999) for deriving stochastic upper and lower bounds on the present value of a sequence of cash flows, where the discounting is performed under a given stochastic return process. The convex approximation provided...

We consider distributional free inference to test for positive quadrant dependence, that is, for the probability that two variables are simultaneously small (or large) being at least as great as it would be were they dependent. Tests for its generalization to higher dimensions, namely positive...

The bounds for risk measures of a portfolio when its components have known marginal distributions but the dependence among the risks is unknown are often too wide to be useful in practice. Moreover, availability of additional dependence information, such as knowledge of some higher-order...

In this paper, the individual claim reserving model proposed by Pigeon et al. (2013) is extended to include paid and incurred data. Analytic expressions are derived for the expected ultimate losses, given observed development patterns. The usefulness of this new model is illustrated using a...

In general insurance, the evaluation of future cash flows and solvency capital has become increasingly important. To assist in this process, the present paper proposes an individual discrete-time loss reserving model describing the occurrence, the reporting delay, the time to the first payment,...

Premiums and benefi ts associated with traditional life insurance contracts are usually specifi ed as fi xed amounts in policy conditions. However, reserve-dependent surrender values and reserve-dependent expenses are common in insurance practice. The famous Cantelli theorem in life insurance...

In this paper, we extend the concept of mutual exclusivity proposed by Dhaene and Denuit (1999) to its tail counterpart and baptise this new dependency structure as tail mutual exclusivity. Probability levels are first specified for each component of the random vector. Under this dependency...