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Shannon Information In k-records

Author

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  • M. Madadi
  • M. Tata

Abstract

In this article, we present results on the Shannon information (SI) contained in upper(lower) k-record values and associated k-record times. We then establish an interesting relationship between the SI content of a random sample of fixed size, and the SI in the data consisting of sequential maxima. We also consider the information contained in the k-record data from an inverse sampling plan (ISP).

Suggested Citation

  • M. Madadi & M. Tata, 2014. "Shannon Information In k-records," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(15), pages 3286-3301, August.
  • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:15:p:3286-3301
    DOI: 10.1080/03610926.2012.697965
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    Cited by:

    1. Sathar E. I. Abdul & Jose Jitto, 2020. "Past Extropy of 𝑘-Records," Stochastics and Quality Control, De Gruyter, vol. 35(1), pages 25-38, June.

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