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Estimating the Error of a Permutational Central Limit Theorem
Published online by Cambridge University Press: 27 July 2009
Extract
Motivated by two measures of presortedness, number of runs and oscillation of a permutation, related to the sorting problem, we derive an error bound for normal approximation to the distribution of Here, αij's are given real numbers and π is a uniformly distributed random permutation of {l,…, n}. The derivation is based on Stein's method.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 10 , Issue 4 , October 1996 , pp. 533 - 541
- Copyright
- Copyright © Cambridge University Press 1996
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