Description: This dissertation is about methods for assessing mortality risk in regard to insurance and annuity transactions. Although the basic methods and formulas are general, most of the applications made here deal with life annuity transactions, with particular emphasis on pension situations.

Description: This paper presents best upper and lower bounds on the expected value of a reinsurance payment under the terms of a contract written on a random loss with known moments. Bounds on the expected exercise value of a financial option are considered also because the mathematical model used for valuing options is similar to that used in reinsurance net premium calculations. From the Actuarial Research Clearing House ARCH 1990 Vol. 1.

Description: The author comments on the article Exposure Formulas Based on the Assumption of Uniform Distribution of Deaths written by T.N.E. Greville.

Description: This paper develops and discusses various relations between the Uniform Death Distribution and the Balducci curve. From ACTUARIAL RESEARCH CLEARING HOUSE 1980, VOL. 2.

Description: This paper discusses a mixed lognormal estimator of a risk distribution. Using the observed claim frequencies of a portfolio, the author presents a continuous nonparametric estimator of the risk distribution that reproduces some of the empirical moments and converges uniformly. The estimator that is investigated is a mixture of log-normal distributions whose parameters are calculated by considering the determinants of certain moment matrices. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This paper proposes a model for the incurred but not reported - IBNR- claims of an insurance company. This model will be fit to third party automobile bodily injury claims for which the months and years of occurrence of the accident are available. From the Actuarial Research Clearing House 1990 VOL. 1

Description: This paper investigates nonparametric estimators of the distribution function that are based on mixtures of gamma distributions when we have a random sample from a continuous distribution function. From Actuarial Research Clearing House 1993, VOL. 3.

Description: A method is presented which uses Bayes Lemma in an elementary way to construct posterior probabilities to be attached to each of several alternative prior distributions, given a few observations. The availability of efficient computer programs to numerically perform discrete convolutions for producing prior distributions makes this a practical method. From the Actuarial Research Clearing House 1978, Vol.2.

Description: The zeta distribution with regression parameters has been rarely used in statistics because of the difficulty of estimating the parameters by traditional maximum likelihood. This is the abstract of a paper that proposes an alternative method for estimating the parameters based on an iteratively reweighted least-squares algorithm.

Description: This model arose from a project to evaluate the cost of a health care access' program to provide comprehensive medical care to uninsureds in Minnesota, for the Minnesota Health Care Access Commission. The project was to provide estimates of the impact on per-person and aggregate costs for various participation percentages in the access program. In order to evaluate those costs, the antiselection model described in this was developed. Of note, this was the ACTUARIAL EDUCATION AND RESEARCH FUND 1991 PRACTITIONERS AWARD WINNER. From Actuarial Research Clearing House 1991, VOL. 2.