Description: Because actuaries fit models for a variety of situations, particularly with regard to data modifications, it is useful to have a single approach. Though not optimal or exact for a particular model or data structure, the method should be reasonable for most all settings. Such a method is proposed in this article. Actuarial Research Clearing House 2003, VOL. 1

Description: This paper explores the flexibility of kernel estimation as a means of nonparametric graduation and relates it to moving-weighted-average graduation. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: This is a discussion of the title paper by Robert M. Duncan which outlines the use of a contributory money purchase plan with death benefits, and investments in equities, to fund pensions. The approach is critiqued.

Description: This paper shows how a graduation method may be developed as straight forward statistical estimation within a statistical theory based upon personal probability, that is, so-called Bayesian statistics. The method discussed is applicable to a broad range of graduation situations, but does assume the more specific property of the graduator's prior opinion with respect to mortality rates.

Description: This paper is written as a sequel to that on Derivation of Premium Rates for Renewable Term Insurance. It is the purpose of this paper to present a method for deriving gross premiums for renewable term insurance of contemporary design, which are virtually independent of the rates of renewal. From Transactions of Society of Actuaries 1960, Vol. 12, No. 34.

Description: This papers considers the effects of taxing nominal rather than real returns from short term deposits. A system for taxing real returns is developed. The possible results from a change in the method of taxation, to the one proposed in the paper are discussed. From Actuarial Research Clearing House 1991, VOL. 1.

Description: It is the objective of this paper to highlight and analyze the difference in funding level per participant in the context of a specific situation when determined on an aggregate basis versus an individual basis. From Transactions of Society of Actuaries 1986, Vol. 38.

Description: 1959 Report on aviation mortality for years 1940-1959, broken down by aviation classes.

Description: Automobile insurers classify the risks that they underwrite in order to subdivide the portfolio into classes of risks with similar profiles. While some insurers may have sufficient historical data, several others may not have significant volume of experience data in order to produce reliable claims predictions to help enhance their risk classification systems. A database containing a pooled experience of several insurers thereby helps to produce a more fair, reliable, and equitable premium structure for all risks concerned. This paper uses multilevel models to analyze the data on claim counts provided by the General Insurance Association of Singapore, an organization consisting of most of the general insurers in Singapore. The multilevel nature of the data is due to the following: a certain vehicle is observed over a period of years and is insured by a particular insurance company under a certain 'fleet' policy. The authors show how intercompany data lead to a priori premiums and a posteriori corrections to these initial premiums. Specific focus is made in understanding the intercompany effects using various count distribution models [Poisson, negative binomial, zero–inflated and hurdle Poisson]. The performance of these various models is compared the authors also investigate how to use the historical claims of a company, fleet and/or vehicle in order to correct for the premium initially set.

Description: Recent articles addressed the subject of fuzzy regression [FR] and the term structure of interest rates [TSIR]. Their approach relied on possibilistic regression. Although possibilistic regression has been used in many applications, it has a number of limitations, not the least of which is its nebulous relation to the least-squares concept. As an alternative to possibilistic regression, this paper uses fuzzy least square regression to investigate the TSIR.