Download this PDF file Fullscreen Fullscreen Off
References
- D. J. Aldous and A. Bandyopadhyay. A survey of max-type recursive distributional equations. Ann. Appl. Probab. 15 (2005), no. 2, 1047-1110. MR2134098
- L. Devroye. On the probabilistic worst-case time of "find". Mathematical analysis of algorithms. Algorithmica 31 (2001), no. 3, 291-303. MR1855252 (2002h:68038)
- L. Devroye. Laws of large numbers and tail inequalities for random tries and PATRICIA trees. Probabilistic methods in combinatorics and combinatorial optimization. J. Comput. Appl. Math. 142 (2002), no. 1, 27-37. MR1910516 (2003b:60036)
- R. Grübel and U. Rösler. Asymptotic distribution theory for Hoare's selection algorithm. Adv. in Appl. Probab. 28 (1996), no. 1, 252-269. MR1372338 (96j:68047)
- P. Jagers and U. Rösler. Fixed points of max-recursive sequences. M. Drmota et al. (Editor), Mathematics and Computer Science III, 325-338, Birkhäuser, Basel (2004).
- S. Janson. Asymptotics for tails and moments. Report Mathematisches Forschungsinstitut Oberwolfach 41 (2004).
- Y. Kasahara. Tauberian theorems of exponential type. J. Math. Kyoto Univ. 18 (1978), no. 2, 209-219. MR0501841 (80g:40008)
- R. Neininger and L. Rüschendorf. Analysis of algorithms by the contraction method: additive and max-recursive sequences. J.-D. Deuschel and A. Greven (Editors), Interacting stochastic systems, 435-450, Springer, Berlin (2005). MR2118586 (2005j:68140)
- S. T. Rachev and L. Rüschendorf. Probability metrics and recursive algorithms. Adv. in Appl. Probab. 27 (1995), no. 3, 770-799. MR1341885 (96m:60005)
- L. Rüschendorf. On stochastic recursive equations of sum- and max-type. J. Appl. Probab. 43 (2006), 687-703.

This work is licensed under a Creative Commons Attribution 3.0 License.