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Collective Risk Results
} O~t<T denotes the largest value of the X(t)'s between 0 and T, an interesting question is the determination ... nonpositive claims. Such claims occur when a life annuity terminates and a reserve is released. We will let ...- Authors: John A Beekman
- Date: May 1968
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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New Mathematical Laws of Select and Ultimate Mortality
Ultimate Mortality The objectives of this paper are: 1. To show why scientific laws of mortality are ... the continued use of graduation techniques on mortality tables. 2. To develop a new theory leading ...- Authors: Aaron Tenenbein, Irwin T Vanderhoof
- Date: Jan 1980
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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Some Practical Considerations in Connection with the Calculation of Stop-Loss Premiums
THE CALCULAT ION OF STOP-LOSS PREMIUMS* HANS U. GERBER AND DONALD A. JONES ABSTRACT For the evaluation ... that assigns a premium, say P, to any risk, say S. Mathematically, a risk is a random variable, given ...- Authors: Hans U Gerber, Donald A Jones, Harry H Panjer, Application Administrator
- Date: Oct 1976
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Life Insurance; Modeling & Statistical Methods
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Computing the Probability of Eventual Ruin
COMPUTING THE PROBABILITY OF EVENTUAL RUIN ERIC S. SEAH ABSTRACT Shiu derives two formulas for calculating ... The ruin function ~(u) is defined as the probability that the risk reserve, u + c t - SN<,), is ever ...- Authors: Eric Seah
- Date: Oct 1990
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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The Bounds of Bivariate Distributions that Limit the Value of Last-Survivor Annuities
The Bounds of Bivariate Distributions that Limit the Value of Last-Survivor Annuities The dependent ... Discount rates=Interest rates;Mortality assumption;Mortality rates=Mortality tables=Death rates ; 2573 ...- Authors: Jacques F Carriere, Lai K Chan
- Date: Oct 1986
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Annuities; Modeling & Statistical Methods
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Simulating Random Variates from Makeham's Distribution and from Others with Exact or Nearly Log-Concave Densities
Simulating Random Variates from Makeham's Distribution and from Others with Exact or Nearly Log-Concave ... Vol. 47. Markov Chain;Monte Carlo simulation;Mortality modeling; 2744 10/1/1995 12:00:00 AM ...- Authors: Jacques F Carriere, John A Mereu, Gordon E Klein, David Scollnik, Jeffrey S Pai
- Date: Oct 1995
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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Multidimensional Whittaker-Henderson Graduation
Multidimensional Whittaker-Henderson Graduation Reports generally display tables of data ... tables;Morbidity rates=Morbidity tables;Mortality rates=Mortality tables=Death rates ;Premiums; 2535 10/1/1984 ...- Authors: Gerald Lee Giesecke, Frank E Knorr, Jeffrey L Kunkel, Steven F McKay, Elias Shiu, William J Taylor
- Date: Oct 1984
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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A Ruin Function Approximation
nonpositive claims. Such claims occur when a life annuity terminates and a reserve is released. We will let ... risk reserve of size u. At time t, the risk reserve U(t) is given by N(t) u(t) = u + (p, + x) t - ~x ...- Authors: John A Beekman
- Date: Apr 1969
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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On Some Actuarial Inequalities - Actuarial Note
an immediate life annuity of 1 payable at age x is less than the value of an annuity-certain payable for ... courts). It should also be noted that, given a mortality table, any inequality shown (unless otherwise indicated) ...- Authors: Hans U Gerber, Donald A Jones, Harry M Sarason, John A Schutz, Arnold Shapiro, Gary E Olson
- Date: Oct 1975
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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Dividend Formulas in Group Insurance
FORMULAS IN GROUP INSURANCE D()NALD A. JONES AND HANS U. GERBER* ABSTRACT The paper discusses the optimal ... common dividend formula is of the form D -- (kP - S)+, guaranteeing dividends equal to the excess * ...- Authors: Hans U Gerber, James C Hickman, Donald A Jones, John A Mereu
- Date: Oct 1974
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods