THE GERBER REPORT

Rational Investor Sentiment ∗ Anke Gerber

We explain excess volatility, short-term momentum and long-term reversal of asset prices by a repeated game version of Keynes’ beauty contest. In every period the players can either place a buy or sell order on the asset market. The actual price movement is determined by average market orders and noise. It is common knowledge that the noise process is an exogenous random walk. Our model explain...

The Gerber articulator and system of full denture construction.

Introduction Full dentures should restore the patient's appearance, allow him to masticate his food efficiently and speak naturally. Accordingly, dentures must be stable in use with good adaptation to the underlying tissues and be in harmony with the temporomandibular joints. Whist all the factors governing alveolar bone resorption are not fully known, most authorities agree that unstable dentu...

Dr. Albert Gerber, a European pioneer in the craniomandibular field.

Phase-type Approximation of the Gerber-shiu Function

The Gerber-Shiu function provides a way of measuring the risk of an insurance company. It is given by the expected value of a function that depends on the ruin time, the deficit at ruin, and the surplus prior to ruin. Its computation boils down to the evaluation of the overshoot/undershoot distributions of the surplus process at ruin. In this paper, we approximate it in a closed form by fitting...

An Algebraic Approach to the Analysis of Gerber-Shiu Functions

We introduce an algebraic operator framework to study discounted penalty functions in renewal risk models. For inter-arrival and claim size distributions with rational Laplace transform, the usual integral equation is transformed into a boundary value problem, which is solved by symbolic techniques. The factorization of the differential operator can be lifted to the level of boundary value prob...