Accession Number : AD0610315

Title :   ON MARKOV CHAINS WITH THE STRONG RATIO LIMIT PROPERTY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Folkman,J. H. ; Port,S. C.

Report Date : JAN 1965

Pagination or Media Count : 17

Abstract : In this memorandum the authors contribute to the theory of Markov chains as follows: The probability that a particle moving according to a recurrent random walk is in a given finite set at some time long after the starting time is proportional to the number of points in that set. This property is not true for all random motions, and it is a matter of some interest in probability theory to know for what systems an analogous result is true. Some conditions are established under which there is an analogous result.

Descriptors :   (*PROBABILITY, MEASURE THEORY), SEQUENCES(MATHEMATICS), SET THEORY, STOCHASTIC PROCESSES, MOTION

Distribution Statement : APPROVED FOR PUBLIC RELEASE