Asymptotic Results for m-th Exponential Spacings

Narayanaswamy Balakrishnan (), Alexei Stepanov () and Valery Borisovich Nevzorov ()
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Narayanaswamy Balakrishnan: McMaster University
Alexei Stepanov: Immanuel Kant Baltic Federal University
Valery Borisovich Nevzorov: St. Petersburg State University

Sankhya A: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 17, 468-477

Abstract: Abstract In this work, we discuss m-th exponential spacings △k:m:n obtained from order statistics. We study limit results for such spacings when the sample size n tends to infinity and the indices k and m are either fixed or also tend to infinity. We also investigate asymptotic properties of largest exponential m-th spacing.

Keywords: Order statistics; spacings; exponential distribution; limit laws.; 60G70; 62G30 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13171-021-00259-y

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