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Credibility Formulas of the Updating Type
E[S,] = •, (16) Cov[&,Si]= V~+W~ i f i= j (17) = Wi If i < .I , fo r j= i , i - k l , . . ... want to show the validity of formulas (16) and (17). Comparing equations (7) and (8), we see that E[S ...- Authors: Hans U Gerber, James C Hickman, Donald A Jones, PAUL ROBERT MILLER, Myron Henry Margolin
- Date: Oct 1975
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods; Modeling & Statistical Methods>Bayesian methods
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Experience-Rating Group Life Insurance
Experience-Rating Group ... $1.50 1.11 0 .82 0.61 0 .~ 0 .33 0 .24 0 .17 0 .12 0 .~ 0 .~ 0 .~ 0 .03 0 .02 0.01 0.01 ... , . 9 . . 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 25.. 30.. 35.. 40. 45. 50.- Authors: John C Angle, William A Bailey, Application Administrator, Theodore W Garrison, Hans U Gerber, Donald A Jones, Edward J Porto, William J Schreiner, Myron Henry Margolin, James E Jeffrey
- Date: Oct 1974
- Competency: Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Problem analysis and definition; Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Life Insurance>Pricing - Life Insurance; Life Insurance>Group plans - Life Insurance; Modeling & Statistical Methods
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On the Credibility of Group Insurance Claim Experience
~,(xx - u) + t~2(~ - u) + . . . + t~.(x. - u) • (17) 2 H. Cram~r, Mathematical Method of Statistics ... 1)p Substituting equation (19) into equation (17) and rearranging terms proves equation (4). Note ...- Authors: Myron Henry Margolin
- Date: Nov 1971
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Health & Disability
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The Quantum Interpretation of Probability
The Quantum Interpretation of Probability This paper proposes a new interpretation of probability, ... rigorous statement of its axioms is due to Kolmogorov [17]. The following, slightly less technical version ...- Authors: Myron Henry Margolin
- Date: Jan 1980
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Actuarial Profession