TY - JOUR
T1 - Nonuniqueness in g-functions
AU - Bramson, Maury
AU - Kalikow, Steven
PY - 1993/2/1
Y1 - 1993/2/1
N2 - We give an example of two distinct stationary processes {X n} and {X′ n} on {0, 1} for which P[X0=1|X-1=a-1,X-2=a-2, ...]=P[X′0=1|X′-1=a-1,X′-2=a-2, ...] for all {a i}, i=-1, -2, ..., even though these probabilities are bounded away from 0 and 1, and are continuous in {a i}.
AB - We give an example of two distinct stationary processes {X n} and {X′ n} on {0, 1} for which P[X0=1|X-1=a-1,X-2=a-2, ...]=P[X′0=1|X′-1=a-1,X′-2=a-2, ...] for all {a i}, i=-1, -2, ..., even though these probabilities are bounded away from 0 and 1, and are continuous in {a i}.
UR - http://www.scopus.com/inward/record.url?scp=51249161704&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=51249161704&partnerID=8YFLogxK
U2 - 10.1007/BF02761697
DO - 10.1007/BF02761697
M3 - Article
AN - SCOPUS:51249161704
SN - 0021-2172
VL - 84
SP - 153
EP - 160
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1-2
ER -