Next Article in Journal
Information Theoretic Hierarchical Clustering
Previous Article in Journal
On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes
Article Menu

Export Article

Open AccessArticle
Entropy 2011, 13(2), 437-449; doi:10.3390/e13020437

The Entropy of Progressively Censored Samples

1
Faculty of Computers and Informatics, Zagazig University, Zagazig 44519, Egypt
2
Department of Mathematics, Faculty of Science, Qassim University, Al-Montazah, Buraydah 51431, Al Qassim, Saudi Arabia
Received: 21 December 2010 / Revised: 7 January 2011 / Accepted: 8 January 2011 / Published: 9 February 2011
View Full-Text   |   Download PDF [125 KB, uploaded 24 February 2015]

Abstract

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. Among the different censoring schemes, the progressive censoring scheme has received a considerable attention in the last few years. The aim of this paper is simplifying the entropy of progressively Type II censored samples. We propose an indirect approach using a decomposition of the entropy in progressively Type II censored samples to simplify the calculation. Some recurrence relations for the entropy in progressively Type II censored samples are derived to facilitate this calculation. An efficient computational method is derived that simplifies computation of the entropy in progressively Type II censored samples to a sum; entropy in collections order statistics. We compute the entropy in a collection of progressively Type II censored samples for some known distributions. View Full-Text
Keywords: entropy; progressive censoring; order statistics; recurrence relations; Markov chain

entropy; progressive censoring; order statistics; recurrence relations; Markov chain

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Abo-Eleneen, Z.A. The Entropy of Progressively Censored Samples. Entropy 2011, 13, 437-449.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top