Strong laws for exponential order statistics and spacings |
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| Authors: | A Astrauskas |
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| Institution: | (1) Institute of Mathematics and Informatics, Akademijos 4, LT-08663 Vilnius, Lithuania;(2) Vilnius Gediminas Technical University, Saulėtekio 11, LT-10223 Vilnius, Lithuania |
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| 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.
Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 4, pp. 477–491, October–December, 2006. |
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| Keywords: | Kth largest order statistics exponential spacings strong laws laws of iterated logarithm upper and lower class sequences |
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