Brief Report
Apr 1973
Elements of Random Vector Analysis
Authors: Robert M. Stark, M.ASCE, and Devendra K. ShuklaAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 2
Abstract
The definitions, theorems, and example developed herein initiate an extension of elementary deterministic vector analysis to the random case. Generalizations to include dependencies among random variables are easily made and contribute few new insights. However, extensions to a random vector calculus and time dependent vectors would significantly extend the analysis. These elements of a random vector analysis are of fundamental assistance to a reformulation of deterministic mechanics for the random environment in much the sense that McCall suggested for probabilistic models in economics.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 2 • April 1973
Pages: 434 - 439
Copyright
© 1973 American Society of Civil Engineers.
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Published in print: Apr 1973
Published online: Feb 3, 2021
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Robert M. Stark, M.ASCE
Visiting Assoc. Professor, Dept. of Civ. Engrg., MIT, Cambridge, Mass, on leave from Univ. of Delaware, Newark, Del.
Devendra K. Shukla
Teaching Fellow, Dept. of Civ. Engrg., Depts. of Civ. Engrg. and Statistics and Computer Science, Univ. of Delaware, Newark, Del.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.