Description: This paper uses the possibility distribution approach, or fuzzy logic, to estimate the insurance loss amount. A special class of parametric possibility distributions is used to model insurance loss variables. The parameters of the possibility distribution are estimated by combining statistical analysis of sample data and domain knowledge provided by actuarial experts. Insurance premiums are calculated using possibilistic mean and possibilistic variation. Estimation of possibility distribution of aggregate loss amount is also discussed.

Description: When fitting a model to any data, there is some uncertainty about which model is best. Green [1995] quantifies this uncertainty through the Reversible Jump Markov Chain Monte Carlo [RJMCMC] method. When using the RJMCMC method in a regime-switching situation, the chain determines the optimal number of regimes by jumping between various possibilities. This method gives each model its posterior probability of being the best. After an overview of the methodology, the authors apply it to various datasets and discuss the applications in modern actuarial science.

Description: This paper addresses the fuzziness in regression models. The goal is to present a test procedure to explicitly examine whether an independent variable has a clear functional relationship with the dependent variable in a specific regression model, or whether their relationship is fuzzy. To this end, the authors interpret the spread of the regression coefficients as a statistic measuring the fuzziness of the relationship between the corresponding independent variable and the dependent variable. They then derive test distributions based on the null hypothesis that such spreads could have been obtained with data generated by a classical regression model with random errors. The analysis is presented in conceptual rather than technical terms.

Description: The theme of this paper relates to solving portfolio selection problems using linear programming. The authors extend the linear optimization framework for Conditional Value-at-Risk-based portfolio selection problems to optimization over a more general class of risk measure known as the class of Coherent Distortion Risk Measure. From Actuarial Research Clearing House, 2012 Vol. 1.

Description: Statistics show that the risk of fatality associated with motorcycle crashes far exceeds that of automobiles hereby Connecticut introduced mandatory motorcycle safety training. This paper develops a unifying framework to quantify the effectiveness of such mandatory programs and to translate this in terms of a possible insurance rate reduction.

Description: This study is designed to analyze new planning approaches and strategies that combine SPIAs with other techniques to create retirement income synergies. Using historical scenarios, it evaluates how different retirement income strategies hypothetically would have met four separate client goals: sustainable income, liquidity, accessibility and legacy. This report summarizes study findings and includes “planning points” to help readers interpret the study data.

Description: This paper proposes weighted fund style analysis as a better method to hedge market risks of variable annuities.

Description: 2019 Student Research Case Study Challenge submission Lisbon School of Economics and Management.

Description: Updated longitudinal study of metrics for measuring contribution adequacy at paying down unfunded liabilities in corporate DB pension plans in the U.S.

Description: Research project examining the utility of standard eligibility and claims extracts for complementary and alternative medical therapies (CAM) analysis. Report includes links to extracts and tables.