Description: This paper introduces density estimation for functions of observations. The nonparametric density estimates are introduced and certain computational issues are discussed and a central limit theorem for the estimator is provided. From Actuarial Research Clearing House 1993, VOL. 1.

Description: In this paper, Lagrangian distributions are reviewed and some of their properties are studied. Recursive methods are proposed to calculate compound Lagrange distributions. Some examples for a sub-family of Lagrangian Distributions and its compound distributions are studied.

Description: This paper examines inclusion of the value of future new business in value-added financial reporting. The objective of the paper is to develop methods to provide useful information to management that links the pricing, planning and reporting process.

Description: In this paper the authors analyze data from group medical expense insurance claims and show that many insurance loss distributions have very 'heavy tails' because large losses represent a disproportionate fraction of the total cost. They also present a simple model to reproduce and explain the large loss behavior. From Actuarial Research Clearing House 1990, VOL. 2

Description: This is the abstract of the referenced paper which studies the mortality of left-handed baseball players versus that of right-handed players by examining the times and ages of death of more than 6,000 players who died before 1990. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This paper focuses on the fact that life and annuity reserves that are determined from discounted case flows mask the dynamic nature of interest rates. To study this effect in a stochastic interest environment, the authors look at a change in discounted reserves. By looking at the appropriate measure of change, the paper explores potential short-term consequences of changes in the interest environment.

Description: In this paper, given the three moments of the claim amount, the authors find the di-atomic and the di-exponential distributions that fit the given three moments. They use ruin probability formulas when the claim amount is discete or is a combination of exponentials to compute ruin probabilities based on the claim amount distribution which match the first three moments of the original claim amount distribution. Actuarial Research Clearing House 1992 VOL. 1

Description: This paper presents the application of the asset share technique of pricing to Home Equity Line of Credit insurance. The paper's objective is to provide useful tools when developing a new HELOC product including projections for marketing and underwriting, distinctions between desirable and undesirable product design features, and development of premium rate structures. From Actuarial Research Clearing House 1990, VOL. 2

Description: Multiple decrement theory traditionally is based on the assumption that competing causes of decrement are stochastically independent even though this assumption is usually not true in reality. This paper presents some fundamental results towards a dependent decrement theory. First, the author shows how to model dependence with copula functions, then he presents a theorem that characterizes the mathematical relationship between the crude and net probabilities when the decrements are dependent, and finally he applies the results by examining the effect of removing cancer from the United States population when cancer is correlated with the other causes of death. From Actuarial Research Clearing House 1994, VOL. 1.

Description: Mortgage insurance is used to guarantee the mortgage investor [mortgagee] against financial loss due to the inability of the home buyer [mortgagor] to repay the loan in accordance with the terms of the mortgage. This paper describes a procedure used to construct predicted survivorship tables for single-family home mortgage insurance contracts written under four sections of the National Housing Act.