
Accession Number : AD0704325
Title : TRANSFORMATION OF A SET OF PSEUDORANDOM NUMBERS INTO A SET REPRESENTING ANY DESIRED PROBABILITY AND CORRELATION.
Descriptive Note : Technical rept.,
Corporate Author : ARMY MISSILE COMMAND REDSTONE ARSENAL ALA ADVANCED SENSORS LAB
Personal Author(s) : Holliday,Edward M.
Report Date : 12 DEC 1969
Pagination or Media Count : 160
Abstract : Many problems in engineering, economics, mathematics, and the sciences require investigations using digital simulations. Frequently the simulation of stochastic processes is required and is performed by a computer program which generates a pseudorandom sequence of numbers to represent random samples of the process. In general, it is not possible to control the probability and the correlation of the sequence at will. The objective of this report is the development of a general technique for digital generation of a set representing noise with independent control of the probability and t9 For this purpose, the set transformation method is developed and implemented in the computer subroutine identified as XFORM. A set of pseudorandom numbers is transformed into a second set which represents uncorrelated or correlated samples of any probability distribution. Existing methods of generating pseudorandom numbers representing uniform and nonuniform probability distributions, both uncorrelated and correlated, are reviewed. Two procedures for introducing correlation are developed. Two subroutines are developed to analyze random sets.
Descriptors : (*STOCHASTIC PROCESSES, MATHEMATICAL MODELS), (*STATISTICAL DISTRIBUTIONS, SAMPLING), CORRELATION TECHNIQUES, MONTE CARLO METHOD, PROBABILITY DENSITY FUNCTIONS, MODEL THEORY, SIMULATION, SUBROUTINES
Subject Categories : Statistics and Probability
Operations Research
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE