Description: Recognizing an opportunity to help serve its members in this age of increased financial oversight, the Health Section of the Society of Actuaries commissioned a series of guides on the use of statistical techniques specifically geared for the work of health actuaries. In this first guide in the series, the topic is an estimate well-known to health actuaries- the calculation of incurred but not reported [IBNR] health claims reserves. In particular, this guide focuses on the development of confidence intervals around IBNR estimates.

Description: This article discusses the use of parametric distributions to model health care cost.

Description: Recognizing an opportunity to help serve its members in this age of increased financial oversight, the Health Section of the Society of Actuaries commissioned a series of guides on the use of statistical techniques specifically geared for the work of health actuaries. The first guide in the series titled, 'Statistical Methods for Health Actuaries - IBNR Estimates: An Introduction,' is about the calculation of incurred but not reported [IBNR] health claims reserves. In particular, the guide focuses on the development of confidence intervals around IBNR estimates. This is an Excel workbook created to demonstrate the techniques discussed in the guide.

Description: This paper discusses a class of asymmetric distributions arising in a random summation scheme. Members of the class are called asymmetric Laplace distributions as the standard Laplace distributions, which are symmetric, constitute a proper subclass. Among distributions which are limits in random summation schemes, asymmetric Laplace distributions play an analogous role to that of normal distributions among distributional limits of non-random sums. Asymmetric LaPlace laws are more 'peaky' and have heavier tails than normal laws. They have stability properties and are convenient in applications, as their densities have explicit forms and estimation procedures are easily implemented. Anticipating increasing interest in this class of distributions, the authors present statistical tools which can be utilized in practice, including algorithms for simulation and estimation. They also discuss more general classes of distributions, where asymmetric Laplace distributions appear as special cases.

Description: In this paper, methods are presented that allow the systematic graduation of multidimensional data subject to linear constraints. With these constraints the practitioner can impose limitations on the graduation that agree with prior knowledge. Discussions of this paper are included.

Description: Presented at Living to 100 symposium, January 2011. This paper presents a method for using death records to infer exposure on non-extinguished cohorts, thereby allowing the development of a credible table for high ages.

Description: Feature article about the use of approximations.

Description: This paper presents simple Bayesian graduation models that substantially ease the prior elicitation burden, and also describes a Monte Carlo integration approach that greatly reduces the computational load.

Description: Discusses the Canadian Institute of Actuaries' disability morbidity study to update the 1964 CDT and explains the techniques used to interpolate incidence rates from the 1964 CDT.

Description: This paper develops the formula for estimation of multivariate copula. These results can be applied to the estimation of correlation coefficients. From the Actuarial Research Clearing House 1994 Vol. 2 .