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A Fuzzy Random Variable Primer
key features of these spaces are summarized in Table 1, where they are juxtaposed for comparison purposes ... purposes, and the discussion that follows. Table 1: Probability Space v. Possibility Space Probability ...- Authors: Arnold Shapiro
- Date: Jan 2008
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Topics: Modeling & Statistical Methods
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Allocating Actuarial Resources Among Branch Offices
columns, known as a direct unit cost matrix,2 Table 3 is an examrle. Obi~ functioB• In the transportation ... ticut; Phoenix. Arizona; Springfield. Illinois. Table 1 shows an estimate of how much actuarial time ...- Authors: Arnold Shapiro, JOHN MICHAEL MCADON
- Date: Jan 1983
- Competency: External Forces & Industry Knowledge>Actuarial methods in business operations
- Publication Name: Actuarial Research Clearing House
- Topics: Enterprise Risk Management>Operational risks; Modeling & Statistical Methods
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Fuzzy Post-Retirement Solvency Concepts: Some Preliminary Observations
strategies1 are fuzzy. From the perspective of the individual, descriptive terms like adequate, suitable and ... concepts impede the communication between the individual and his or her financial advisor, and limit the ...- Authors: Arnold Shapiro
- Date: Jul 2010
- Competency: External Forces & Industry Knowledge
- Topics: Pensions & Retirement>Risk management
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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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Risk Assessment Applications of Fuzzy Logic
Society of Actuaries, All Rights Reserved iv Table of Contents 1 Introduction ................... ... Actuaries, All Rights Reserved x List of Tables Table 5-1 Saaty's random index ......................- Authors: Arnold Shapiro, Marie Claire L Koissi
- Date: Mar 2015
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Credibility Theory in a Fuzzy Environment
weighted average of the claims experience of an individual contract and the experience for the whole portfolio ... weight factor is the credibility attached to the individual experience. Recently, Liu and Liu (2002) and ...- Authors: Arnold Shapiro, Marie Claire L Koissi
- Date: Dec 2012
- Competency: External Forces & Industry Knowledge
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Fitting and Forecasting Mortality Rates for Nordic Countries Using the Lee-Carter Model
four countries. The fitting errors, displayed on table 1 and figure 4 prove that the WLS and the MLE provide ... Sweden -0.0038 0.0227 0.0105 0.0547 0.0139 0.0135 Table 1: Mean Error in Fitted Life Expectancy at Birth ...- Authors: Arnold Shapiro, Goran Hognas, Marie Claire L Koissi
- Date: Sep 2008
- Competency: External Forces & Industry Knowledge>Actuarial methods in business operations
- Topics: Experience Studies & Data>Mortality; Global Perspectives>Global markets
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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
debt market on June 29, 2001 and are displayed on Table 27 1. The face value of each asset at maturity ... annual coupon and the face value. The matrix in Table 2 shows the streams of payments by asset, . The ...- Authors: Arnold Shapiro, Marie Claire L Koissi
- Date: Nov 2008
- Competency: Technical Skills & Analytical Problem Solving
- Topics: Modeling & Statistical Methods
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Value-at-risk and Tail-Value-at-Risk given a Linguistic Perspective
practice. 7 Adapted from Almeida et al (2009) Table 6. arc2016_Shapiro_E_00c1.doc 7 3. Estimating ... and credibility measures are as shown in Table 1. Table 1: Possibility, necessity and credibility ...- Authors: Arnold Shapiro, SRIMANTOORAO S APPADOO, A Thavaneswaran
- Date: Mar 2017