• Corpus ID: 251564101

On the recent-$k$-record of discrete random variables

@inproceedings{Li2022OnTR,
  title={On the recent-\$k\$-record of discrete random variables},
  author={Anshui Li},
  year={2022}
}
  • A. Li
  • Published 14 August 2022
  • Mathematics
Let X 1 , X 2 , · · · be a sequence of i.i.d random variables which are supposed to be observed in sequence. The n th value in the sequence is a k − record value if exactly k of the first n values (including X n ) are at least as large as it. Let R k denote the ordered set of k -record values. The famous Ignatov’s Theorem states that the random sets R k ( k = 1 , 2 , · · · ) are independent with common distribution. We introduce one new record named recent − k − record (RkR in short) in this… 

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