The randomly fluctuating hyperrectangles are spatially monotone

Achillefs Tzioufas

Statistics & Probability Letters, 2017, vol. 130, issue C, 76-79

Abstract: We show that the probability of a site being occupied at any instance of time in the one-dimensional randomly fluctuating hyperrectangles processes decreases monotonically with respect to its distance from the origin.

Keywords: Monotone occupied site probabilities; Stochastic domination; Symmetry; Randomly fluctuating intervals (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.07.016

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