Description: Abstracts of various papers published in ARCH 1983 Vol. 1

Description: Abstract for the paper which gives a unified approach to modern credibility models by using the theory of estimating functions.

Description: This is the abstract of a paper that deals with a recent modification of the Monte Carlo method known as quasi random Monte Carlo. Under this approach, one uses specially selected deterministic sequences rather than random sequences as in Monte Carlo. These special sequences are known as low discrepancy sequences and have the property that they tend to be evenly dispersed throughout the unit cube. For many applications in finance, the use of low discrepancy sequences seems to provide more accurate answer than random sequences.

Description: The zeta distribution with regression parameters has been rarely used in statistics because of the difficulty of estimating the parameters by traditional maximum likelihood. This is the abstract of a paper that proposes an alternative method for estimating the parameters based on an iteratively reweighted least-squares algorithm.

Description: Mortality rates for a local community are desired in conjunction with the calculation of health-adjusted life expectancy HALE, an indicator of population health.

Description: This is the abstract of a paper that derives expressions for the moments of the distribution of the option payoff in a Black Scholes economy. These results are of interest from a purely statistical viewpoint. They may also be of interest given the current importance of value at risk calculations. The paper also derives formulae for the moments of barrier options and provides numerical examples.

Description: This is the abstract of a preliminary report on a research project about the applications of dynamical systems theory in actuarial science. The project is funded by the AERF. The paper will briefly describe the nature of dynamical systems and present a tentative model derived from percolation theory that could be used to understand the pricing variations encountered in a competitive environment and that could also be used as a model for credibility. From Actuarial Research Clearing House 1992, Vol. 1.

Description: This is the abstract of the paper 'A Stochastic Definition of Future Shares'. The traditional definition of actuarial future values and stochastic definition of Ramsay are discussed. A modification of Ramsay's definition is proposed and an application to life insurance reserves is presented.