Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution

DOI10.1016/0167-7152(95)00063-1zbMath0849.62027OpenAlexW2075749879MaRDI QIDQ1916189

Arnold Knopfmacher, Prodinger, Helmut

Publication date: 6 November 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00063-1

zbMATH Keywords

Riemann zeta functionexact solutionasymptotic estimaterecurrence relationBernoulli numbersbinomial coefficientsRice's methodalternating sumsCantor distributionexpected value of minimum order statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)

Related Items (2)

The connectivity threshold of random geometric graphs with Cantor distributed vertices ⋮ Nearest-neighbor graphs on the cantor set

Cites Work

• Mellin transforms and asymptotics: Finite differences and Rice's integrals
• How to select a loser
• The evaluation of an alternative sum with applications to the analysis of some data structures
• Moments of order statistics of the Cantor distribution
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