Description: Nonparametric regression tries to ?nd a relationship between the predictor and the response without assuming shape of estimated regression function. Its theory and methods are well developed for the case of completely observed vectors of predictors and responses. In many applications, including actuarial, some components of the observed vectors may be missed. Ignoring missing data and using known methods of nonparametric regression may yield inconsistent estimation. Theoretical results on optimal nonparametric regression with missing data are presented, and an applied actuarial example is discussed.

Description: This paper explores the principles upon which experience-rated group insurance currently is based and discusses the question of whether or not these principles are sound. Followed by discussion papers submitted by several authors

Description: Presentation of some of the theory underlying the experience rating process, together with the derivation and evaluation of several functions which are of use in constructing and testing practical surplus distribution formulas. Followed by discussion papers submitted by several authors

Description: In an increasing population the number of persons falls off from age to age more rapidly than does the stationary population of the life table. This can introduce a systematic bias into life table calculations. The first part of the paper describes an iterative procedure to correct for the bias, extends the method to multiple decrement and associated single decrement life tables, and demonstrates the magnitude of the bias involved. The second part of the paper summarizes the results of applying iterative life table techniques to 165 populations which encompass over a century's experience and include countries from all parts of the world. Followed by discussions submitted by several people

Description: Discusses some methodological questions which arose in connection with ratemaking for the province of New Brunswick, Canada.

Description: This paper looks at mathematical problems formulated in either explicit or implicit form. Followed by several discussion papers submitted