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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The last author’s work was partially supported by RFBR grant N 18-01-00393.
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Balakrishnan, N., Stepanov, A. & Nevzorov, V.B. Asymptotic Results for m-th Exponential Spacings. Sankhya A (2021). https://doi.org/10.1007/s13171-021-00259-y
Keywords and phrases.
- Order statistics
- exponential distribution
- limit laws.
AMS (2000) subject classification.