On the moment absolute deviation of order statistics from uniform distribution

DOI10.1016/J.SPL.2021.109278zbMath1478.60077OpenAlexW3211012647MaRDI QIDQ2070648

Rafal Kapelko

Publication date: 24 January 2022

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2021.109278

zbMATH Keywords

momentabsolute deviationcoveragesensor networks

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Combinatorial probability (60C05)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• On the event distance of Poisson processes with applications to sensors
• Some inequalities for absolute moments
• Optimal movement of mobile sensors for barrier coverage of a planar region
• An elementary analysis of the probability that a binomial random variable exceeds its expectation
• Some inequalities for absolute moments of feasible acceptable random variables
• On the probability that a binomial variable is at most its expectation
• On binomial and Poisson sums arising from the displacement of randomly placed sensors
• Optimal One-Dimensional Coverage by Unreliable Sensors
• Asymptotic formula for sum of moment mean deviation for order statistics from uniform distribution
• On the moment distance of Poisson processes
• A First Course in Order Statistics
• On the Convergence of Moments in the Central Limit Theorem

This page was built for publication: On the moment absolute deviation of order statistics from uniform distribution