Description: In problem 24, Chapter 5, of Kellison's 'Fundamentals of Numerical Analysis' it is indicated how a divided difference can be expressed as a ratio of two determinants. This study note shows that this method works well also in the case where some of the arguments of collocation coincide. The rule is: If an argument occurs k times, the derivatives of the corresponding row up to order k-1 should be used in numerator and denominator.

Description: This paper suggests a new model for the distribution of deaths between two adjacent integral ages which addresses existing discontinuities. Application of the model is shown and compared with the existing three popular models. From Actuarial Research Clearing House 1994, Vol. 2.

Description: This paper suggests that using the entire runoff triangle to keep a tail on the runoff curve was not necessary, and that doing so was actually a disadvantage if group medical and dental claim payment patterns changed over the period being used. An alternative was presented. From Actuarial Research Clearing House 1993, VOL. 3.

Description: The purpose of this paper is to explain several actuarial-demographic-statistical techniques and show their application in medical investigations. Actuarial Research Clearing House 1979, VOL. 1

Description: This paper shows the mortality element can be partially isolated allowing an exact annuity value to be readily obtained at any interest rate. From the Actuarial Research Clearing House 1979, Vol.2.

Description: This paper discusses a mixed lognormal estimator of a risk distribution. Using the observed claim frequencies of a portfolio, the author presents a continuous nonparametric estimator of the risk distribution that reproduces some of the empirical moments and converges uniformly. The estimator that is investigated is a mixture of log-normal distributions whose parameters are calculated by considering the determinants of certain moment matrices. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This paper compares percentile estimates of a large number of cash flow testing scenarios, where only a very small number fall in the ruin tail, by parametric and non-parametric methods.

Description: This paper investigates nonparametric estimators of the distribution function that are based on mixtures of gamma distributions when we have a random sample from a continuous distribution function. From Actuarial Research Clearing House 1993, VOL. 3.

Description: Forty-one years of catastrophe loss data by state are used in this study to produce a model for rating catastrophe covers for insurers in any region of the Continental United States. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper builds on a risk theory model described by Tellenbach [1977]. That model involves Laplace-Stieltjes transforms which pose severe computational difficulties. This paper describes a simple algorithm which appears to work in the special case where the time span considered is reasonably small. The latter condition is typically met if the model refers to cumulative claims. A thorough mathematical treatment of the subject is not even attempted. Rather, the emphasis is on the computational aspect of the problem.