Implementation and application of the fundamental theorem of probability
Thesis (M.Eng. and S.B.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1998.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2009
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/46277 |
| _version_ | 1826201210551533568 |
|---|---|
| author | Cohen, Jeremy S. (Jeremy Stein), 1975- |
| author2 | Robert Freund and Gordon Kaufman. |
| author_facet | Robert Freund and Gordon Kaufman. Cohen, Jeremy S. (Jeremy Stein), 1975- |
| author_sort | Cohen, Jeremy S. (Jeremy Stein), 1975- |
| collection | MIT |
| description | Thesis (M.Eng. and S.B.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1998. |
| first_indexed | 2024-09-23T11:48:15Z |
| format | Thesis |
| id | mit-1721.1/46277 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T11:48:15Z |
| publishDate | 2009 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/462772019-04-10T17:59:35Z Implementation and application of the fundamental theorem of probability Cohen, Jeremy S. (Jeremy Stein), 1975- Robert Freund and Gordon Kaufman. Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science. Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science. Electrical Engineering and Computer Science. Thesis (M.Eng. and S.B.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1998. Includes bibliographical references (leaves 64-65). 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. by Jeremy S. Cohen. M.Eng.and S.B. 2009-06-30T18:47:08Z 2009-06-30T18:47:08Z 1998 1998 Thesis http://hdl.handle.net/1721.1/46277 47095288 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 65 leaves application/pdf Massachusetts Institute of Technology |
| spellingShingle | Electrical Engineering and Computer Science. Cohen, Jeremy S. (Jeremy Stein), 1975- Implementation and application of the fundamental theorem of probability |
| title | Implementation and application of the fundamental theorem of probability |
| title_full | Implementation and application of the fundamental theorem of probability |
| title_fullStr | Implementation and application of the fundamental theorem of probability |
| title_full_unstemmed | Implementation and application of the fundamental theorem of probability |
| title_short | Implementation and application of the fundamental theorem of probability |
| title_sort | implementation and application of the fundamental theorem of probability |
| topic | Electrical Engineering and Computer Science. |
| url | http://hdl.handle.net/1721.1/46277 |
| work_keys_str_mv | AT cohenjeremysjeremystein1975 implementationandapplicationofthefundamentaltheoremofprobability |