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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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On the Time Value of Ruin
HOUSE 1997 VOL. 1 On the Time Value of Ruin Hans U. Gerber Ecole des hautes 6tudes commerciales Universit6 ... in Chapter 12 of Actuarial Mathematics [4]. Thus u _> 0 is the insurer's initial surplus. The premiums ...- Authors: Hans U Gerber, Elias Shiu
- Date: Jan 1997
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Modeling & Statistical Methods
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A Probabilistic Model for Life Contingencies and a Delta-Free Approach to Contingency Reserves
DELTA-FREE APPROACH TO CONTINGENCY RESERVES HANS U. GERBER ABSTRACT The first part of the paper is ... . . . and a sequence of random vectors So, $1, S , , . . . (say k-dimensional vectors) such that X ...- Authors: Gottfried O Berger, Hans U Gerber, Harry H Panjer
- Date: Oct 1976
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Actuarial Profession>Professional development; Annuities>Reserves - Annuities; Life Insurance>Reserves - Life Insurance
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On Optimal Dividends: From Reflection to Refraction
Dividends: From Reflection to Refraction Hans U. Gerber Ecole des hautes études commerciales Université ... coefficient C(b) being independent of x, and r and s being the roots of the characteristic equation ...- Authors: Hans U Gerber, Elias Shiu
- Date: Jan 2005
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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Some Moment Inequalities and Their Applications
MOMENT INEQUALIT IES AND THEIR APPLICATIONS HANS U. GERBER ABSTRACT This paper shows how some moment ... proof. Let 0 < s < t. Then by Jensen's inequality E(X s) = EI(X,) s/,] < [E(X')] s/', which shows ...- Authors: Hans U Gerber
- Date: Oct 1986
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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Risk Theory with the Gamma Process
with the Gamma Process By Fran(;ois Dufresne, Hans U. Gerber and Elias S.W. Shiu Lava/University, University ... function Q(x) defines an aggregate claims process {S(t)} I ~ o in the following way. For each x > 0, ...- Authors: Hans U Gerber, Elias Shiu, Francois Dufresne
- Date: Jan 1991
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Modeling & Statistical Methods
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Option Pricing Without Tears: Valuing Equity-Linked Death Benefits
Tears: Valuing Equity-Linked Death Benefits Elias S. W. Shiu Department of Statistics & Actuarial Science ... The University of Iowa U.S.A. Joint work with Hans U. Gerber & Hailiang Yang Let Tx denote the time-until-death ...- Authors: Elias Shiu, Hans U Gerber, Hailiang Yang
- Date: Feb 2014
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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Pricing Perpetual Fund Protection With Withdrawal Option
Perpetual Fund Protection with Withdrawal Option Hans U. Gerber Ecole des hautes études commerciales Université ... provides the amount F(t) = S2(t) max{1, max 0≤ ≤τ t S S 1 2 ( ) ( ) τ τ }, if it is exercised at time ...- Authors: Hans U Gerber, Elias Shiu
- Date: Jan 2003
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Modeling & Statistical Methods>Dynamic simulation models
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The Time Value of Ruin in a Sparre Andersen Model: Ruin Theory by Divided Differences
The Time Value of Ruin in a Sparre Andersen Model: Ruin Theory by Divided Differences This paper ... presents multiple equations, including Lundberg's fundamental equation. Risk theory; 14365 1/1/2005 ...- Authors: Hans U Gerber, Elias Shiu
- Date: Jan 2005
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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Ruin Theory Beyond Chapter 12
1993 VOL. 1 RUIN T~USOEY BEYOND CBAPTmu~ 12 Hans U. Gerber, Un ivers i ty of Lausanne (Summary of ... the c la im amount d i s t r ibut ion is a mix ture of exponent ia l d i s t r ibut ions . The resul ...- Authors: Hans U Gerber
- Date: Jan 1993
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Finance & Investments