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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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A Linear Programming Approach to Graduation
A Linear Programming ... 23 0 20 19 15 -- 9 13 9 11 . . . . . . . 17 2 --19 29 --20 1 19 --28 18 9= 0 ... that is, Yi = 0 if A 'u" >__ 0 and Ri is basic (17) = --0 if h'u~' < 0 and Ti is bas ic . (18) ...- Authors: James C Hickman, Stuart Klugman, Robert B Miller, Donald R Schuette, Harwood Rosser, Thomas N E Greville
- Date: Oct 1978
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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A Statistical Approach to Premiums and Reserves in Multiple Decrement Theory
A Statistical Approach to Premiums and Reserves in Multiple Decrement Theory This paper from the ... " Skandinavisk Aktuarietidskrift, XII (1929), 1-17. A STATISTICAL APPROACH TO PREMIIYMS AND RESERVES ...- Authors: James C Hickman
- Date: Apr 1964
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: 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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Adjusting Multiple-Decrement Tables
Adjusting Multiple-Decrement Tables In this paper a new method of adjusting probabilities of death ... t)q~ Now recall the following approximation [6, p. 17]: colog p. -- I -- ½q~" (8) We obtain, under ...- Authors: James C Hickman, John M Krall
- Date: Nov 1970
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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Possible Values vs. Expected Values
Possible Values vs. Expected Values An increasing need exists for the actuary to provide ranges ... Jones, D. A. (1965), "Bayesian Statistics", TSA, 17, 33-57. 5. Keyfitz, N. (1972), "On Future Population" ...- Authors: James C Hickman, Application Administrator, R Stephen Radcliffe, Irwin T Vanderhoof, John C Wooddy
- Date: Oct 1981
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Record of the Society of Actuaries
- Topics: Modeling & Statistical Methods