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Weak kth records from geometric distribution and some characterizations

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  • Krzysztof Jasiński

Abstract

Let (Wn(k), n≥0) be weak kth records from the geometric distribution. For k≥2, s≥1 we prove that the regression E(Wn+s(k)−Wn(k)|Wn(k)) is constant iff n = 0. We also obtain characterizations of the geometric distribution based on partial independence of W0(k) and Ws(k)−W0(k).

Suggested Citation

  • Krzysztof Jasiński, 2019. "Weak kth records from geometric distribution and some characterizations," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(24), pages 6179-6187, December.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:24:p:6179-6187
    DOI: 10.1080/03610926.2018.1529245
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