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Asymptotic Results for m-th Exponential Spacings

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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.

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Acknowledgments

The last author’s work was partially supported by RFBR grant N 18-01-00393.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada

    Narayanaswamy Balakrishnan

  2. Institute of Physics, Mathematics and Information Technology, Immanuel Kant Baltic Federal University, A. Nevskogo 14, Kaliningrad, 236041, Russia

    Alexei Stepanov

  3. Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskaya nab., 7/9, St. Petersburg, 199034, Russia

    Valery Borisovich Nevzorov

Authors
  1. Narayanaswamy Balakrishnan
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  2. Alexei Stepanov
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  3. Valery Borisovich Nevzorov
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Correspondence to Narayanaswamy Balakrishnan.

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Balakrishnan, N., Stepanov, A. & Nevzorov, V.B. Asymptotic Results for m-th Exponential Spacings. Sankhya A 85, 468–477 (2023). https://doi.org/10.1007/s13171-021-00259-y

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  • DOI: https://doi.org/10.1007/s13171-021-00259-y

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