Abstract
We obtain upper and lower almost sure asymptotic bounds for spacings η K, N − η K + 1, N , where η 1, N > η 2, N > ⋯ > η N, N are the order statistics of independent exponentially distributed random variables η 1, η 2, ..., η N with mean 1; here N → ∞, and K = 1, 2, ... is fixed.
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Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 4, pp. 477–491, October–December, 2006.
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Astrauskas, A. Strong laws for exponential order statistics and spacings. Lith Math J 46, 385–397 (2006). https://doi.org/10.1007/s10986-006-0036-9
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DOI: https://doi.org/10.1007/s10986-006-0036-9