Description: This people provides a derivation of continuous and curtate inequalities of life contingent functions and shows how the proofs of the continuous inequalities are of an entirely different nature from the usual proofs for the curtate inequalities Followed by discussion papers submitted by several authors

Description: A presentation of a mathematics/statistics based approach for determining credibility factors for possible use in group health insurance premium rate setting and experience refund setting. Includes supporting mathematical proofs of approach. Followed by discussions submitted by several people

Description: This paper by John Mereu describes a method for mathematically computing the expected loss under a group life contract in excess of a stated limit. The paper also shows how to compute the variance and standard deviation of the stop-loss claim and suggests how the method can be extended to group insurance benefits where the claim amount per certificate is not fixed. Paper is followed by discussions from several people

Description: This paper shows how some moment inequalities of probability theory can be applied in three different areas of actuarial science - compound interest, life contingencies and risk theory. From Transactions of Society of Actuaries 1986, Vol. 38.

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: The paper discusses the optimal design of dividend - or premium refund - formulas that occur in connection with group insurance contracts. Sample formulas are provided and analyzed from a statistical analysis perspective . Followed by 2 discussion papers submitted

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: This paper presents a statistical and mathematical method to calculate Stop-Loss Premiums. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1976, Vol. 28.