Description: This paper by John Mereu describes a method for mathematically computing the expected loss under a group life contract in excess of a stated limit. The paper also shows how to compute the variance and standard deviation of the stop-loss claim and suggests how the method can be extended to group insurance benefits where the claim amount per certificate is not fixed. Paper is followed by discussions from several people

Description: The Cauchy integral formula is applied to derive various results on divided differences.

Description: In Volume LXXV of the Proceedings there appeared a paper entitled Risk Loads for Insurers by Feldblum. Confidence intervals for the betas in TABLE 4 [Profit Margins and Their Standard Deviations by Line of Business] of this paper can be generated using the assumption of underlying normal distributions. However, bootstrapping operational or not for interval estimates does not require the normality assumption. The method of operational bootstrapping does not use random numbers. The method for the 4-dimensional case, used to generate the interval estimates in the current paper, is a natural generalization of the bivariate case. I use operational bootstrapping to generate interval estimates for Betas shown in the TABLE 5.

Description: A discussion of alternative meanings to “Best” in best estimate. When one is trying to estimate a result that is normally distributed, the mean, median and mode will all equal one another. However if the results are not normally distributed, different variance metrics will result in different “best” estimates. When different parts of a financial statement use different criteria for measuring best estimates and different processes for handling variances, the results can be volatile, unpredictable and perhaps unreasonable.

Description: This is a discussion of the paper, Frequency Distribution of Mortality Costs by John M. Boermeester, which used a series of random numbers to estimate variables under study.

Description: This abstract describes a paper that develops a method to estimate the two parameters of the discrete stable distribution.

Description: This paper attempts to broaden the actuary's understanding of decrement rate estimation and to clear up some of the more common misconceptions which have been promoted.

Description: The conventional way to analyze grouped observations on a single variable is to construct histograms or, sometimes, fit a normal distribution. We extend this latter approach by allowing for transformations to near normality.

Description: This study note focuses on actuarial applications and loss distributions for insurance products.

Description: An approach to quantify medical intervention savings when medical claims data is not available by leveraging overlapping measurement techniques.