Asymptotic analysis of the moments of the Cantor distribution

Statistics and Probability Letters

Volumn 26, Issue 3, 1996, Pages 243-248

  Grabner, P J ^a   Prodinger, H ^b  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Cantor distribution; Mellin transform; Saddle point method

Indexed keywords

EID: 0030584285     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-7152(95)00016-X     Document Type: Article

References (8)

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2. Doetsch, G. (1958), Handbuch der Laplace-Transformation (Birkhäuser, Basel).
3. Flajolet, P, X. Gourdon and P. Dumas (1995) Mellin transforms and asymptotics: Harmonic sums, Theoret. Comput. Sci. to appear.
4. Grabner, P. (1994), Searching for losers, Random Struct. Algorithms 4, 99-110.
5. Hosking, J.R.M. (1994), Moments of order statistics of the Cantor distribution, Statist. Probab. Lett. 19, 161-165.
6. Knopfmacher, A. and H. Prodinger (1994), Explicit and asymptotic formulæ for the expected values of the order statistics of the Cantor distribution, Statist. Probab. Lett., to appear.
7. Lad, F.R. and W.F.C. Taylor (1992), The moments of the Cantor distribution, Statist. Probab. Lett. 13, 307-310.
8. Rais, B. P. Jacquet and W. Szpankowski (1993), Limiting distributions for the depth in Patricia tries, SIAM J. Discrete Math. 6, 197-213.