Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences

M. M. Mohie El-Din; M. S. Kotb; W. S. Emam

doi:doi:10.11648/j.ajtas.20150405.13

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Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences

M. M. Mohie El-Din, M. S. Kotb, W. S. Emam

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 5)

Received: 18 March 2015 Accepted: 29 March 2015 Published: 3 August 2015

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Abstract

This article discusses the problem of predicting future progressive Type-II right censored order statistics based on progressive Type-II right-censored, ordered statistics, record values and current records that observed from the past X-sequence. Such coverage probabilities of the prediction intervals are exact and don’t depend on the sampling distribution F. Finally, a real life time data were given to breakdown the insulating fluid between electrodes which is used to illustrate the derived results.

Published in	American Journal of Theoretical and Applied Statistics (Volume 4, Issue 5)
DOI	10.11648/j.ajtas.20150405.13
Page(s)	329-338
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Prediction Intervals, Progressive Censoring, Order Statistics, Records, Coverage Probability, Prediction Coefficient

References

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[10]	M. Z. Raqab, N. Balakrishnan, Prediction intervals for future records, Stat. Prob. Letters, 78 (2008) 1955 – 1963.
[11]	M. M. Mohie El-Din, M. S. Kotb, W. S. Emam, Prediction intervals for future order statistics from two independent sequences, AJTAS, 4 (2015) 33 – 40.
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APA Style

M. M. Mohie El-Din, M. S. Kotb, W. S. Emam. (2015). Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences. American Journal of Theoretical and Applied Statistics, 4(5), 329-338. https://doi.org/10.11648/j.ajtas.20150405.13

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ACS Style

M. M. Mohie El-Din; M. S. Kotb; W. S. Emam. Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences. Am. J. Theor. Appl. Stat. 2015, 4(5), 329-338. doi: 10.11648/j.ajtas.20150405.13

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AMA Style

M. M. Mohie El-Din, M. S. Kotb, W. S. Emam. Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences. Am J Theor Appl Stat. 2015;4(5):329-338. doi: 10.11648/j.ajtas.20150405.13

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@article{10.11648/j.ajtas.20150405.13,
  author = {M. M. Mohie El-Din and M. S. Kotb and W. S. Emam},
  title = {Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {4},
  number = {5},
  pages = {329-338},
  doi = {10.11648/j.ajtas.20150405.13},
  url = {https://doi.org/10.11648/j.ajtas.20150405.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150405.13},
  abstract = {This article discusses the problem of predicting future progressive Type-II right censored order statistics based on progressive Type-II right-censored, ordered statistics, record values and current records that observed from the past X-sequence. Such coverage probabilities of the prediction intervals are exact and don’t depend on the sampling distribution F. Finally, a real life time data were given to breakdown the insulating fluid between electrodes which is used to illustrate the derived results.},
 year = {2015}
}

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TY  - JOUR
T1  - Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences
AU  - M. M. Mohie El-Din
AU  - M. S. Kotb
AU  - W. S. Emam
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DO  - 10.11648/j.ajtas.20150405.13
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
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PB  - Science Publishing Group
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UR  - https://doi.org/10.11648/j.ajtas.20150405.13
AB  - This article discusses the problem of predicting future progressive Type-II right censored order statistics based on progressive Type-II right-censored, ordered statistics, record values and current records that observed from the past X-sequence. Such coverage probabilities of the prediction intervals are exact and don’t depend on the sampling distribution F. Finally, a real life time data were given to breakdown the insulating fluid between electrodes which is used to illustrate the derived results.
VL  - 4
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Author Information

M. M. Mohie El-Din

Department of Mathematics, Faculty of Science, Al-Azhar, University, Nasr City, Cairo, Egypt
M. S. Kotb

Department of Mathematics, Faculty of Science, Al-Azhar, University, Nasr City, Cairo, Egypt
W. S. Emam

Department of Basic Science, Faculty of Engineering, British, University in Egypt, Al-Shorouq City, Cairo, Egypt

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APA Style

M. M. Mohie El-Din, M. S. Kotb, W. S. Emam. (2015). Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences. American Journal of Theoretical and Applied Statistics, 4(5), 329-338. https://doi.org/10.11648/j.ajtas.20150405.13

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ACS Style

M. M. Mohie El-Din; M. S. Kotb; W. S. Emam. Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences. Am. J. Theor. Appl. Stat. 2015, 4(5), 329-338. doi: 10.11648/j.ajtas.20150405.13

Copy | Download

AMA Style

M. M. Mohie El-Din, M. S. Kotb, W. S. Emam. Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences. Am J Theor Appl Stat. 2015;4(5):329-338. doi: 10.11648/j.ajtas.20150405.13

Copy | Download

@article{10.11648/j.ajtas.20150405.13,
  author = {M. M. Mohie El-Din and M. S. Kotb and W. S. Emam},
  title = {Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {4},
  number = {5},
  pages = {329-338},
  doi = {10.11648/j.ajtas.20150405.13},
  url = {https://doi.org/10.11648/j.ajtas.20150405.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150405.13},
  abstract = {This article discusses the problem of predicting future progressive Type-II right censored order statistics based on progressive Type-II right-censored, ordered statistics, record values and current records that observed from the past X-sequence. Such coverage probabilities of the prediction intervals are exact and don’t depend on the sampling distribution F. Finally, a real life time data were given to breakdown the insulating fluid between electrodes which is used to illustrate the derived results.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Prediction Intervals for Progressive Type-II Right-Censored Order Statistics from Two Independent Sequences
AU  - M. M. Mohie El-Din
AU  - M. S. Kotb
AU  - W. S. Emam
Y1  - 2015/08/03
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150405.13
DO  - 10.11648/j.ajtas.20150405.13
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 329
EP  - 338
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150405.13
AB  - This article discusses the problem of predicting future progressive Type-II right censored order statistics based on progressive Type-II right-censored, ordered statistics, record values and current records that observed from the past X-sequence. Such coverage probabilities of the prediction intervals are exact and don’t depend on the sampling distribution F. Finally, a real life time data were given to breakdown the insulating fluid between electrodes which is used to illustrate the derived results.
VL  - 4
IS  - 5
ER  -

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