A central limit theorem for mixing stationary point processes

R. M. Cranwell and N. A. Weiss

Stochastic Processes and their Applications, 1978, vol. 8, issue 2, 229-242

Abstract: Suppose A0 is a strictly stationary, second order point process on Zd that is [empty set][combining character]-mixing. The particles initially present are then continually subjected to random translations via random walks. If An is the point process resulting at time n, then we prove, under certain technical conditions, that the total occupation time by time n of a finite nonempty subset B of Zd, namely, Sn(B)=[Sigma]nk=1Ak(B), is asymptotically normally distributed.

Keywords: Central; limit; theorem; mixing; processes; infinite; particle; systems; random; translations; random; works (search for similar items in EconPapers)
Date: 1978
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