Elements of Random Vector Analysis

by Robert M. Stark, (M.ASCE), Visiting Assoc. Prof.; Dept. of Civ. Engrg., MIT, Cambridge, MA; on leave from Univ. of Delaware, Newark, DE,
Devendra K. Shukla, Teaching Fellow; Depts. of Civ. Engrg., Statistics, and Computer Sci., Univ. of Delaware, Newark, DE,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 2, Pg. 434-439

Document Type: Journal Paper


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.

Subject Headings: Vector analysis | Terminology and definition | Time dependence | Probability | Economic factors

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