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Models for the Distribution of Aggregate Claims in Risk Theory
n = 1, 2, (14) becomes E{X(t)} = E{N(t)IE{ Y} (17) and E{X(t) 2} = E{N(t)'2'}[E{ Y}]" + E{N(t)}E{ ... density function (p.d.f.) is O(s) = ix/(it + s). (17) Thus, using (2.13) and (12) for the binomial-exponential ...- Authors: Harry H Panjer, Elias Shiu, Gordon E Willmot
- Date: Oct 1984
- Competency: Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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A Solution of Defective Renewal Equations with Applications to Ruin Theory
A Solution of Defective Renewal Equations with Applications to Ruin Theory This paper presents an ... p+l~l+O it can be shown by inducti(m that j~ a=0 (17) 3?0 The coefficients Cj,k satisL the following ...- Authors: Gordon E Willmot, Xiaodong Sheldon Lin
- Date: Jan 1998
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Modeling & Statistical Methods