A central limit theorem for mixing stationary point processes |
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| Authors: | R.M. Cranwell N.A. Weiss |
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| Affiliation: | Department of Mathematics, Arizona State University, Tempe, Arizona 85281 U.S.A. |
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| Abstract: | Suppose A0 is a strictly stationary, second order point process on Zd that is ?-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)=Σnk=1Ak(B), is asymptotically normally distributed. |
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| Keywords: | Central limit theorem mixing processes infinite particle systems random translations random works |
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