Description: This presentation is a Teaching Session, number 46TS, from the 2002 Valuation Actuary Symposium, held September 19-20 in Lake Buena Vista, FL. In this session, the instructor discusses simple tools and guidelines to ensure that correct inferences are drawn. The material is presented without using complex mathematical formulas. Topics include application of a normal distribution—when it is appropriate and when it is not, drawing inferences about and creating confidence intervals around tail percentile, and Monte Carlo Simulations for Regulation XXX.

Description: In this paper, Lagrangian distributions are reviewed and some of their properties are studied. Recursive methods are proposed to calculate compound Lagrange distributions. Some examples for a sub-family of Lagrangian Distributions and its compound distributions are studied.

Description: Two-dimensional data can be smoothed by minimizing a combination of the sum of weighted absolute deviations from initial estimates and the sums of absolute values of differences in the two directions. This paper discusses the techniques of parametric programming which make it feasible to explore the different results obtained by varying the emphasis given to fit versus smoothness. From Actuarial Research Clearing House 1994, VOL. 1.

Description: 1996 Valuation Actuary Symposium. Topics discussed in this session included developing an approach to quantifying C-3 risk and exploring ways to improve the C-3 component of the NAIC RBC formula.

Description: This article provides an an alternate, statistical approach, to graduation. Both single and multiple decrement models are considered and theoretical results are obtained for some specific mortality models. From: ACTUARIAL RESEARCH CLEARING HOUSE, 1979 VOL. 2.

Description: The purpose of this paper is to set forth a mathematical technique which in the author's experience has proved useful in testing the tax implications of various management actions.

Description: This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The classical model is generalized by discounting with respect to the time of ruin. The authors show how to calculate an expected discounted penalty, which is due at ruin, and may depend on the deficit at ruin and the surplus immediately before ruin.

Description: 1988 Valuation Actuary Symposium. In this session the speaker described the modeling of the participating whole life division including the product description, modelling assumptions, operation of the model, and the results.

Description: This paper provides an outline of the pricing methodology used by Blue Cross and Blue Shield of Virginia which incorporates trend analysis by trend component. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This research report is a summary of an online survey and follow-up discussions with survey respondents on the current state of actuarial modeling controls within U. S. and Canadian life insurance and annuity companies. The current state was then compared to the results from the 2012 survey on this topic to examine the evolution in actuarial model controls and governance. The report also provides an industry assessment and proposes considerations for enhancing the current state towards a well-controlled governance framework.