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The Aggregate Claims Distribution and Stop-Loss Reinsurance
exact distribution are the sum of the forces of mortality over the entire group, and the expected amount ... insurance will be measured by some convenient unit U, such as $1,000. Computations are minimized when the ...- Authors: Harry H Panjer
- Date: Jan 1980
- Competency: Results-Oriented Solutions
- Publication Name: Transactions of the SOA
- Topics: Life Insurance; Reinsurance>Stop-loss insurance
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An Introduction to Collective Risk Theory and its Application to Stop-Loss Reinsurance
two kinds, external risks such as heavy excess mortality resulting from wars and epidemics, and the risk ... completely, and the values of G(y, t) are shown in Table 1 by way of example. The details are left to the ...- Authors: Ernest A Arvanitis, Russell M Collins, Paul H Jackson, Robert C Tookey, Paul Markham Kahn, Herbert L Feay
- Date: Oct 1962
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods; Modeling & Statistical Methods>Stochastic models; Reinsurance>Stop-loss insurance
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Optimal Reinsurance with Positive Dependence
ρ(X ) = E [u(X )] u(x) is a convex function. For example u(x) = x2 – minimize variance; u(x) = eγx – ... – maximize utility of insurer’s wealth: u(x) = (x − E [X ])2+ – minimize semi-variance. Mean-Variance ...- Authors: Jun Cai
- Date: Jan 2012
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods; Reinsurance; Reinsurance>Coinsurance; Reinsurance>Stop-loss insurance
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Expansion of Probability Density Functions as a Sum of Gamma Densities with Applications in Risk Theory
Expansion ... 12~3--3a~q - 18a) , and r (~) As- 5 lP (a -k5) [~s -20~*- (10a- - 120)#3- l -60a ~- 144a] , I ... B = ~* -- 12~8 - - 3a2-~ - 18a 41 ' (3) C= ~s- -20~, - (10a- 120)~3-k60a ~- 144a 51 EXPANSION ...- Authors: Newton L Bowers
- Date: Oct 1966
- Competency: Technical Skills & Analytical Problem Solving>Innovative solutions
- Publication Name: Transactions of the SOA
- Topics: Reinsurance>Stop-loss insurance
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Adjustment Coefficient in the Sparre Anderson Model with Reinsurance
and infinitesimal variance 2D > 0. Independent of S(t) and W (t) ∼ N(0,2Dt) 4 {Xi}∞i=1: claim amount ... insurer’s expenses rate. c: commission payment rate. u: non-negative initial surplus. 5 2. Assumptions ...- Authors: Zhi Li
- Date: Jan 2006
- Competency: Results-Oriented Solutions; Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods; Reinsurance; Reinsurance>Catastrophe reinsurance; Reinsurance>Coinsurance; Reinsurance>Stop-loss insurance