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The Entropy of Progressively Censored Samples
Faculty of Computers and Informatics, Zagazig University, Zagazig 44519, Egypt
Department of Mathematics, Faculty of Science, Qassim University, Al-Montazah, Buraydah 51431, Al Qassim, Saudi Arabia
Received: 21 December 2010; in revised form: 7 January 2011 / Accepted: 8 January 2011 / Published: 9 February 2011
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.
Keywords: entropy; progressive censoring; order statistics; recurrence relations; Markov chain
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MDPI and ACS Style
Abo-Eleneen, Z.A. The Entropy of Progressively Censored Samples. Entropy 2011, 13, 437-449.
Abo-Eleneen ZA. The Entropy of Progressively Censored Samples. Entropy. 2011; 13(2):437-449.
Abo-Eleneen, Z. A. 2011. "The Entropy of Progressively Censored Samples." Entropy 13, no. 2: 437-449.