Helmut Prodinger - d-records in geometrically distributed random variables

dmtcs:375 - Discrete Mathematics & Theoretical Computer Science, January 1, 2006, Vol. 8 - https://doi.org/10.46298/dmtcs.375
d-records in geometrically distributed random variablesArticle

Authors: Helmut Prodinger 1

  • 1 Department of Mathematical Sciences [Matieland, Stellenbosch Uni.]

We study d-records in sequences generated by independent geometric random variables and derive explicit and asymptotic formulæ for expectation and variance. Informally speaking, a d-record occurs, when one computes the d-largest values, and the variable maintaining it changes its value while the sequence is scanned from left to right. This is done for the "strict model," but a "weak model" is also briefly investigated. We also discuss the limit q → 1 (q the parameter of the geometric distribution), which leads to the model of random permutations.

Volume: Vol. 8
Published on: January 1, 2006
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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