On the moment absolute deviation of order statistics from uniform distribution

Rafał Kapelko

Statistics & Probability Letters, 2022, vol. 181, issue C

Abstract: Assume that n mobile sensors with identical sensing range r=12n are distributed independently at random on the unit interval with the uniform distribution. We study the maximum sensor’s displacements to the power a>0 for full coverage of the unit interval in the sense that every point in the unit interval is within the range of a sensor. We derive the asymptotic result about the maximum of moments absolute deviation around the mean for order statistics from uniform distribution.

Keywords: Coverage; Sensor networks; Moment; Absolute deviation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2021.109278

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