### Abstract

The entropy rate of patterns of i.i.d. strings was determined. It was proved that for discrete distributations, and the entropy rate of patterns equals the distribution with continuous probability. It was shown that discrete distributions equals the modified distributions where the continuous probability was assigned to a new discrete element. It was also shown that the patterns satisfied an asymptotic equipartition property.

Original language | English (US) |
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Title of host publication | 2004 IEEE Information Theory Workshop - Proceedings, ITW |

Pages | 99-104 |

Number of pages | 6 |

State | Published - 2004 |

Externally published | Yes |

Event | 2004 IEEE Information Theory Workshop - Proceedings, ITW - San Antonio, TX, United States Duration: Oct 24 2004 → Oct 29 2004 |

### Other

Other | 2004 IEEE Information Theory Workshop - Proceedings, ITW |
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Country | United States |

City | San Antonio, TX |

Period | 10/24/04 → 10/29/04 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*2004 IEEE Information Theory Workshop - Proceedings, ITW*(pp. 99-104)

**Limit results on pattern entropy.** / Orlitsky, A.; Santhanam, N. P.; Viswanathan, K.; Zhang, Junan.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2004 IEEE Information Theory Workshop - Proceedings, ITW.*pp. 99-104, 2004 IEEE Information Theory Workshop - Proceedings, ITW, San Antonio, TX, United States, 10/24/04.

}

TY - GEN

T1 - Limit results on pattern entropy

AU - Orlitsky, A.

AU - Santhanam, N. P.

AU - Viswanathan, K.

AU - Zhang, Junan

PY - 2004

Y1 - 2004

N2 - The entropy rate of patterns of i.i.d. strings was determined. It was proved that for discrete distributations, and the entropy rate of patterns equals the distribution with continuous probability. It was shown that discrete distributions equals the modified distributions where the continuous probability was assigned to a new discrete element. It was also shown that the patterns satisfied an asymptotic equipartition property.

AB - The entropy rate of patterns of i.i.d. strings was determined. It was proved that for discrete distributations, and the entropy rate of patterns equals the distribution with continuous probability. It was shown that discrete distributions equals the modified distributions where the continuous probability was assigned to a new discrete element. It was also shown that the patterns satisfied an asymptotic equipartition property.

UR - http://www.scopus.com/inward/record.url?scp=19544364113&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=19544364113&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:19544364113

SN - 0780387201

SN - 9780780387201

SP - 99

EP - 104

BT - 2004 IEEE Information Theory Workshop - Proceedings, ITW

ER -