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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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On Some Actuarial Inequalities - Actuarial Note
state that A~:- 1 > .qv (r'-r*+"-"t'+")m'-z'+") . (17) This is the continuous analogue of inequality ... exponents in both (9) and (17) give the ON SOME ACTUARIAL INEQUALITIES 17 "average time until claim ...- 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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Some Practical Considerations in Connection with the Calculation of Stop-Loss Premiums
jd. Obviously, X = dNt + 2dN2 + 3dNs + . . . . (17) Also, it is well known that Ni has a Poisson distribution ... 8. . 9. . 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. P( F l, a)/ P( F, a) d~2 d-~ ...- 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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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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Dividend Formulas in Group Insurance
Dividend Formulas in Group Insurance The paper discusses the optimal design of dividend - or premium ... year k is D~k = Mk- Mk-1, k = 1, 2 . . . . . (17) 4.4. Application In the special case where the ...- 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
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Digest of Discussion at Concurrent Sessions
Digest of Discussion at Concurrent Sessions The following topics were discussed at concurrent ... made. For example, if the increase in reserve (line 17 of the income account) were replaced by an increase ...- Authors: Society of Actuaries, Daniel M Arnold, Thomas P Bowles, Paul A Campbell, David R Carpenter, Daniel Case, Gary Corbett, J Dickson Crawford, Kiran Desai, Ralph E Edwards, Abraham Hazelcorn, Charles C Hewitt, Donald A Jones, Wilfred A Kraegel, Meno T Lake, J Alan Lauer, James Lee Lewis, Walter B Lowrie, John Mahder, J Clunas McKibbon, H Morris, Robert J Myers, Stewart G Nagler, Carl R Ohman, Franklin D Pendleton, Anna M Rappaport, Stuart A Robertson, D'Alton S Bill Rudd, Walter Rugland, Douglas O Sanders, Jesse M Schwartz, Frederic Seltzer, Barry L Shemin, Walter W Steffen, Frederick S Townsend, Howard Young, John E Hanson, RICHARD L MAURER, Charles Barry H. Watson, Charles L. Trowbridge, Richard W Ziock, Dale R Gustafson, John C Fraser, Wendell Milliman, Eugene F Porter, Schuyler W Tompson
- Date: Jun 1970
- Competency: External Forces & Industry Knowledge
- Publication Name: Transactions of the SOA
- Topics: Actuarial Profession; Economics>Financial economics; Life Insurance; Modeling & Statistical Methods; Pensions & Retirement>Assumptions and methods; Pensions & Retirement>Pension legislation and regulation