Accession Number : AD0601521

Title :   ON STOCHASTIC PROCESSES AND THEIR REPRESENTATIONS,

Corporate Author : SYLVANIA ELECTRONIC SYSTEMS-WEST MOUNTAIN VIEW CALIF ELECTRONIC DEFENSE LABS

Personal Author(s) : Clark,Crosman Jay

Report Date : 24 APR 1964

Pagination or Media Count : 50

Abstract : This report is concerned with the statistical modeling of physical systems and various mathematical statements or formulations of the models. Instead of giving the complete set of output-input pairs which characterize a physical system, one may give the odds that any specific output from a set of possible outputs will occur. This is called a statistical model of the system. Another form of the statistical model is to give the odds that at any specific time a certain value from a set of values will occur. This report examines both of these forms of statistical modeling. It sets up a general theory of stochastic processes which includes the theory of time series analysis and examines various mathematical representations of the general theory. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, THEORY), (*MATHEMATICAL MODELS, STOCHASTIC PROCESSES), (*STATISTICAL FUNCTIONS, STATISTICAL PROCESSES), STATISTICAL ANALYSIS, TIME, SERIES(MATHEMATICS), PROBABILITY, REAL NUMBERS, SET THEORY, MEASURE THEORY, VECTOR ANALYSIS, GRAPHICS, SEQUENCES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE