<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-19T16:52:44Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/46277" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/46277</identifier><datestamp>2026-06-06T01:04:26Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131023</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Robert Freund and Gordon Kaufman.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Cohen, Jeremy S. (Jeremy Stein), 1975-</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department">Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2009-06-30T18:47:08Z</dim:field>
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   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">1998</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">1998</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/46277</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">47095288</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis (M.Eng. and S.B.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1998.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (leaves 64-65).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">The "RIK" (Reasoning with Incomplete Knowledge) algorithm, a mathematical programming based algorithm for performing probabilistic inference on (possibly) incompletely specified systems of discrete events is reviewed and implemented. Developed by Myers, Freund, and Kaufman, it is a tractable reformulation of the computational approach implicit to the Fundamental Theorem of Probability as stated by De Finetti and extended by Lad, Dickey and Rahman. Enhancements to the original algorithm are presented and several applications of the algorithm to real-world systems including fault trees and belief networks are explored. The system is solved successfully for moderately large problems, providing practical information for system designers coping with uncertainty.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Jeremy S. Cohen.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">M.Eng.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.B.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">65 leaves</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
   <dim:field mdschema="dc" element="rights" lang="en_US">M.I.T. theses are protected by &#xd;
copyright. They may be viewed from this source for any purpose, but &#xd;
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permission. See provided URL for inquiries about permission.</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="uri" lang="en_US">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Implementation and application of the fundamental theorem of probability</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Thesis</dim:field>
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   	&lt;Title>Implementation and application of the fundamental theorem of probability&lt;/Title>
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   	&lt;PublicationDate>1998&lt;/PublicationDate>
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        	&lt;DisplayName>Cohen, Jeremy S. (Jeremy Stein), 1975-&lt;/DisplayName>
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    &lt;Keyword>Electrical Engineering and Computer Science.&lt;/Keyword>
   	&lt;Abstract>The &amp;quot;RIK&amp;quot; (Reasoning with Incomplete Knowledge) algorithm, a mathematical programming based algorithm for performing probabilistic inference on (possibly) incompletely specified systems of discrete events is reviewed and implemented. Developed by Myers, Freund, and Kaufman, it is a tractable reformulation of the computational approach implicit to the Fundamental Theorem of Probability as stated by De Finetti and extended by Lad, Dickey and Rahman. Enhancements to the original algorithm are presented and several applications of the algorithm to real-world systems including fault trees and belief networks are explored. The system is solved successfully for moderately large problems, providing practical information for system designers coping with uncertainty.&lt;/Abstract>
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