Description: The purpose of this paper is to illustrate the method of Lagrange multipliers complete with simple examples. The author suggests that this methodology is ideally suited to the investigation of minimum variance plans. From the Actuarial Research Clearing House 1987 Vol. 1.

Description: This article reports on the activities of an ad-hoc group formed to help generate research on creating models for actuarial purposes.

Description: The net premium for insurance for expected loss in excess of a retention limit may be small, but the resulting variance of excess losses produces a standard deviation several times that of the premium. The purpose of this paper is to give a derivation and evaluation of the standard deviation of the excess losses.

Description: It is the purpose of this paper to outline the reasoning behind the Catastrophic Accident Hazard and some of the details of a reinsurance arrangement with Lloyds of London for managing this risk. Paper is followed by 2 discussion papers

Description: This paper is from the Transactions of Society of Actuaries 1956 Volume 8, Number 20. It was presented at the 1956 Spring Meetings of the Society of Actuaries for discussion. The author presents an outline of how difficulties in the determination of a frequency distribution of the expected costs may be overcome by, in part, applying the concept of using a series of random numbers with a view of making mortality studies for each life in a group of annuitants. The paper also presents the results of some experiments which were designed to discover whether or not the concept could be conducted on an IBM 650 electronic data processing machine.

Description: Develops a statistical procedure to fit bivariate distributions of claims in presence of covariates, which allows for a more accurate study of insureds' choice and size in the frequency and severity of the two types of claims.

Description: This presentation discusses a process for determining the minimum reinsurance retention level consistent with defined parameters. The conclusions reached were: 1. Under PDS dependence, optimal reinsurance strategy is multivariate stop loss form. 2. Explicit solutions could be derived in certain bivariate model. 3. Binding and unbinding constraints are equivalent. From Actuarial Research Clearing House, 2012, Vol. 1.

Description: This is a presentation on computing tight bounds for insurance payments with nonlinear risk. Semi-definite Programming is defined, some examples are presented, and non-linear applications are presented. From Actuarial Research Clearing House, 2012, Vol.1.

Description: This abstract describes a paper that proposes a Bayesian hierarchical model to analyze intercompany claim triangles.

Description: Authored by a MIB Solutions team of Tom Rhodes, Stuart Klugman, Marianne Purushotham and Stacy Gill, the report summarizes the results of a study on the application and adoption of credibility theory within the life insurance and annuity industry. In addition to the report, numerical examples related to the application of credibility to company mortality and lapse data are provided in the four Excel files. This excel spreadsheet is a numerical example relating to the application of Credibility for lapses by policy for limited fluctuation. Please see the SOA website research section for the full report on Credibility Theory Practices.