Distinguishing certain random sceneries on ##Z## via random walks
C. Douglas Howard · Statistics & Probability Letters · 1997
We prove a fixed versus random scenery distinguishability result (along the lines of Benjamini and Kesten) for 0-1 valued scenery on ##Z## where the distances between successive 1's in the random scenery are i.i.d. random variables with fat tails. This result is an application of a more general strategy for establishing fixed/random distinguishability.