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Asymptotic behavior of the ratio of weak kth records

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  • Krzysztof Jasiński

Abstract

Let W0(k),W1(k),… be weak kth records obtained from a sequence of independent variables with a common discrete distribution. In this paper, asymptotic properties of Wn+m(k)/Wn(k) as n→∞ are discussed by using the theory of regular variation.

Suggested Citation

  • Krzysztof Jasiński, 2020. "Asymptotic behavior of the ratio of weak kth records," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(1), pages 16-26, January.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:1:p:16-26
    DOI: 10.1080/03610926.2018.1535074
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