Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard top-down recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms, and standard analytic methods in probab
✦ LIBER ✦
Limit theorems for recursive algorithms
✍ Scribed by P Feldman; S.T Rachev; L Rüschendorf
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 769 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0377-0427
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The purpose of the paper is to extend the weak asymptotic results for the weighted partial sums of i.i.d, random variables to the weighted partial sums of rank scores. These results then suggest various test procedures for the change point problem. The crucial tools in the proofs are martingale pro