Description: The initial risk reserves in collective risk models vary according to the underlying claim distribution, and a suitable level of ruin probability. A thorough analysis of the needed initial surplus for various ruin probability levels is provided in eight meaningful examples. The claim distributions are drawn from various fields of insurance, including property damage and liability insurance.

Description: This article contains reviews of the following books: 1. 'Fundamental Mathematics of Life Insurance' by Floyd S. Harper and Lewis C. Workman, 2. 'Mathematics of Compound Interest' by Marjorie V. Butcher and Cecil J. Nesbitt, 3.'Compound Interest and Annuities-Certain' by D. W. A. Donald, 4. 'Demography' by P. R. Cox, 5. 'The Spirit and the Uses of the Mathematical Sciences' edited by Thomas L. Saaty and F. Joachim Weyl, 6. 'Ethics, Morality, and Insurance' by John D. Long, 7. Reports of the 1971 Advisory Council on Social Security, 8. 'Medical Care at Public Expense' by Mark V. Pauly 9. 'Eleventh Actuarial Valuation of the Assets and Liabilities under the Railroad Retirement Acts as of December 31, 1968, with Technical Supplement' by the Railroad Retirement Board, 10. 'Nouvelles tables-types de mortalité' by Sully Ledermann, 11. 'A Table of Expected Working Life for Men, 1968' by Howard W. Fullerton, 12. 'Disability-Determination and Evaluation' by Henry H. Kessler, 13. 'Industrial Safety Statistics: A Re-examination' by Jerome B. Gordon, Allan Akman, and Michael L. Brooks, 14. 'Pensions and Severance Pay for Displaced Defense Workers' by Hugh Folk and PauI Hartman, 15. 'Trends and Variations in Fertility in the United States' by Clyde V. Kiser, Wilson H. Grabill, and Arthur A. Campbell, 16. 'Benefit Plans in Junior Colleges' by Francis P. King, 17. 'The Consumer's Guide to Insurance Buying' by Vladimir P. Chernik, and 18. 'Private Pension Scheme Finance' by Sylvia and Leslie Tutt. Notices of other studies and articles are also included. From Transactions of Society of Actuaries 1971, Vol. 23, Pt. 1, No. 67.

Description: This article presents the needed mathematical techniques and obtains values for active life expectancies in which dependent lives are followed after regaining independence. Secondly, projections of active life expectancies are developed to the year 2080, under three sets of assumptions, for 65 year old men and women. Finally, estimates of the average numbers of years of dependency in ADL prior to death of 65 year old men and women are provided under alternate sets of assumptions. From the Actuarial Research Clearing House 1991 VOL. 2.

Description: The purpose of this paper is to provide a method for calculating special contingency reserves for investment losses. The method is derived by first building a stochastic investment model and then utilizing its probabilistic structure. From Transactions of Society of Actuaries 1980, Vol. 32.

Description: A simplified model adapts very easily to simulation by a computer, and this is what the author has done with several selected pairs of probability distributions in order to calculate the probability of a casualty company's being ruined shortly after its establishment. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 61.

Description: Report on the topics and speakers at the Actuarial Research Conference and Social Security Benefits, held August 31 through September 2, 1978.

Description: The subject of this paper is a mathematical model for insurance company risks formed by a linear combination of four stochastic processes recognizing claim patterns, investment performance assumptions, operating expenses and lapse expenses. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.

Description: This paper discusses teaching demography at the college level, some associated problems, and it provides an extensive syllabus for demography. From ACTUARIAL RESEARCH CLEARING HOUSE, 1980 VOL. 2.

Description: In this paper, a mathematical model is constructed to study the deviations of claims, investment performance, operating expenses, and lapse expenses as random stochastic processes. Discussions of the paper submitted by 2 readers follows

Description: This paper restates formulae from three textbooks for the Society of Actuaries Course 161 examination which do not use the same set of notation into a common notation. From the Actuarial Research Clearing House 1989, Vol. 2. From the Actuarial Research Clearing House ARCH 1989 Vol. 2.