On uppermost discrete spacing

Valery B. Nevzorov and Alexei Stepanov

Statistics & Probability Letters, 2024, vol. 208, issue C

Abstract: In this work, we investigate the properties of the uppermost spacing obtained from order statistics in the discrete case. We first define this random variable, derive its distribution function, and then study its asymptotic behavior. Finally, we present some examples illustrating the obtained asymptotic results.

Keywords: Order statistics; Discrete spacings; Limit results (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110061

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