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On Some Actuarial Inequalities - Actuarial Note
an immediate life annuity of 1 payable at age x is less than the value of an annuity-certain payable for ... courts). It should also be noted that, given a mortality table, any inequality shown (unless otherwise indicated) ...- 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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A Fuzzy Random Variable Primer
the second day, and the question is how many eggs s/he will have.1 As indicated in Figure 1(a), a representative ... key features of these spaces are summarized in Table 1, where they are juxtaposed for comparison purposes ...- Authors: Arnold Shapiro
- Date: Jan 2008
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Topics: Modeling & Statistical Methods
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Fuzzy Regression Models
examples the following simple Ishibuchi (1992) data: Table 1: Data Pairs i 1 2 3 4 5 6 7 8 xi 2 4 6 8 10 ... choosing the mode was discussed by Wang and Tsaur (2000) p. 357. For any given data pair, (xi, yi), ...- Authors: Arnold Shapiro
- Date: Jan 2006
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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Fuzzy Logic Modifications of the Analytic Hierarchy Process -- Some Preliminary Observations
in this classification, Saaty (1980, Table 3-1), provided a table of relative intensities, which ranged ... different size matrices, and is given in the following table. n 1 2 3 4 5 6 7 8 9 10 RI 0.00 0.00 0.58 ...- Authors: Arnold Shapiro, Marie Claire L Koissi
- Date: Feb 2014
- Competency: External Forces & Industry Knowledge
- Topics: Modeling & Statistical Methods
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Implementing Fuzzy Random Variables
Basic features of these spaces are summarized in Table 1 and the discussion that follows. ... ARC_2012_Shapiro_B_01_Implementing Fuzzy Random Variables 2 Table 1: Probability, Possibility, and Credibility Spaces ...- Authors: Arnold Shapiro
- Date: Dec 2012
- Competency: External Forces & Industry Knowledge
- Topics: Modeling & Statistical Methods
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Fuzzy Regression and the Term Structure of Interest Rates - A Least Squares Approach
of the MF and if a STFN is assumed, 2/)( 1 L i U ii h i YYYY +=== . Given the parameters, , which ... Wang and Tsaur (2000). ),,( 1=hi L i U i YYY U iY U iY )i,( i yx ),,( 1=h i L i U i YYY L iy− ...- Authors: Arnold Shapiro, Marie Claire L Koissi
- Date: Nov 2008
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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The Distribution of Prescription Drug Use By The Elderly - The Pace Experience
demographic characteristics of this sample are shown in Table 1 together with breakdowns by cohort and exposure ... complete. The nursing home residents listed in Table 1 represent PACE beneficiaries who report being ...- Authors: Arnold Shapiro, JOHN THOMAS MONYAK, Bruce C Stuart, N Edward Coulson
- Date: Jan 1991
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Health & Disability; Modeling & Statistical Methods
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Abstracts
Seal, is repr in ted f rom The Actuary . Th is i s fo l lowed by f lve le t te rs respond ing to ... le . The der ivat ion of exposure fo rmulas i s d i scussed . Two o f the le t te rs d i scuss ...- Authors: Samuel Cox, Ralph Garfield, James C Hickman, Warren Luckner, Arnold Shapiro, Elias Shiu, Hung-Ping Tsao, Joseph Tupper, Patrick L Brockett, JOHN MICHAEL MCADON, LORI LYNN SCHUMACHER, DAVID C WU
- Date: Jan 1983
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Actuarial Research Clearing House
- Topics: Modeling & Statistical Methods
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The Fuzziness in Regression Models
Consider the following simple Ishibuchi (1992) data: Table 1: Data Pairs i 1 2 3 4 5 6 7 8 xi 2 4 6 8 10 ... purpose of this article.1 Thus, starting with the Table 1 data, we fit a straight line through two or more ...- Authors: Arnold Shapiro, Marie Claire L Koissi, Thomas R Berry-Stolzle
- Date: Jul 2009
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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Soft Computing Applications in Actuarial Science
Soft Computing Applications in Actuarial Science The purpose of this article ... review;Currency risk;Morbidity rates=Morbidity tables;Mortality modeling;Risk categories=Risk classes;Underwriting;Credit ...- Authors: Arnold Shapiro
- Date: Jan 2001
- Competency: Technical Skills & Analytical Problem Solving>Innovative solutions
- Publication Name: Actuarial Research Clearing House
- Topics: Modeling & Statistical Methods; Technology & Applications>Computer science