### Abstract

Calculations of the entropy of a set of consecutive order statistics is relatively more complicated than that of the entropy of the individual order statistic, which has been studied by Wong and Chan [1]. We provide some fundamental relations occuring in the entropy of consecutive-order statistics, which are very useful for computations. We first consider the decomposition of the entropy of order statistics, and derive some recurrence relations in the first r order statistics. We also establish a dual principle for the entropy of order statistics, which yields a dual relation from a given relation in the entropy of order statistics.

Original language | English |
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Pages (from-to) | 2003-2007 |

Number of pages | 5 |

Journal | IEEE Transactions on Information Theory |

Volume | 41 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1995 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Computer Science Applications
- Information Systems
- Library and Information Sciences
- Electrical and Electronic Engineering

### Cite this

*IEEE Transactions on Information Theory*,

*41*(6), 2003-2007. https://doi.org/10.1109/18.476325

}

*IEEE Transactions on Information Theory*, vol. 41, no. 6, pp. 2003-2007. https://doi.org/10.1109/18.476325

**The Entropy of Consecutive Order Statistics.** / Park, Sangun.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The Entropy of Consecutive Order Statistics

AU - Park, Sangun

PY - 1995/1/1

Y1 - 1995/1/1

N2 - Calculations of the entropy of a set of consecutive order statistics is relatively more complicated than that of the entropy of the individual order statistic, which has been studied by Wong and Chan [1]. We provide some fundamental relations occuring in the entropy of consecutive-order statistics, which are very useful for computations. We first consider the decomposition of the entropy of order statistics, and derive some recurrence relations in the first r order statistics. We also establish a dual principle for the entropy of order statistics, which yields a dual relation from a given relation in the entropy of order statistics.

AB - Calculations of the entropy of a set of consecutive order statistics is relatively more complicated than that of the entropy of the individual order statistic, which has been studied by Wong and Chan [1]. We provide some fundamental relations occuring in the entropy of consecutive-order statistics, which are very useful for computations. We first consider the decomposition of the entropy of order statistics, and derive some recurrence relations in the first r order statistics. We also establish a dual principle for the entropy of order statistics, which yields a dual relation from a given relation in the entropy of order statistics.

UR - http://www.scopus.com/inward/record.url?scp=0029407107&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029407107&partnerID=8YFLogxK

U2 - 10.1109/18.476325

DO - 10.1109/18.476325

M3 - Article

VL - 41

SP - 2003

EP - 2007

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 6

ER -