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Entropy for Past Residual Life Time Distributions

Received: 27 February 2015     Accepted: 16 March 2015     Published: 21 April 2015
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Abstract

As we are familiar that existence of life is uncertain. In the context of reliability and lifetime distributions, there are some measures such as the hazard rate function or the mean residual lifetime function that have been used to characterize or compare the aging process of a component. This definition deals with random variable truncated above some t, i.e. the support of the random variable is taken to be (0, t). We outline some common methods for past residual lifetime distributions with the aim to provide some insights on general construction mechanisms. Some applications are given to provide the readers a possible source of ideas to draw upon. Applications of past residual lifetime distributions in reliability, survival analysis and mortality studies are briefly discussed.

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 3)
DOI 10.11648/j.ajtas.20150403.17
Page(s) 118-124
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

Differential Entropy, Past Residual Entropy, Life Time Distributions

References
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Cite This Article
  • APA Style

    Arif Habib, Meshiel Alalyani. (2015). Entropy for Past Residual Life Time Distributions. American Journal of Theoretical and Applied Statistics, 4(3), 118-124. https://doi.org/10.11648/j.ajtas.20150403.17

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    ACS Style

    Arif Habib; Meshiel Alalyani. Entropy for Past Residual Life Time Distributions. Am. J. Theor. Appl. Stat. 2015, 4(3), 118-124. doi: 10.11648/j.ajtas.20150403.17

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    AMA Style

    Arif Habib, Meshiel Alalyani. Entropy for Past Residual Life Time Distributions. Am J Theor Appl Stat. 2015;4(3):118-124. doi: 10.11648/j.ajtas.20150403.17

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  • @article{10.11648/j.ajtas.20150403.17,
      author = {Arif Habib and Meshiel Alalyani},
      title = {Entropy for Past Residual Life Time Distributions},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {4},
      number = {3},
      pages = {118-124},
      doi = {10.11648/j.ajtas.20150403.17},
      url = {https://doi.org/10.11648/j.ajtas.20150403.17},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150403.17},
      abstract = {As we are familiar that existence of life is uncertain. In the context of reliability and lifetime distributions, there are some measures such as the hazard rate function or the mean residual lifetime function that have been used to characterize or compare the aging process of a component. This definition deals with random variable truncated above some t, i.e. the support of the random variable is taken to be (0, t). We outline some common methods for past residual lifetime distributions with the aim to provide some insights on general construction mechanisms. Some applications are given to provide the readers a possible source of ideas to draw upon. Applications of past residual lifetime distributions in reliability, survival analysis and mortality studies are briefly discussed.},
     year = {2015}
    }
    

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    Y1  - 2015/04/21
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    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    AB  - As we are familiar that existence of life is uncertain. In the context of reliability and lifetime distributions, there are some measures such as the hazard rate function or the mean residual lifetime function that have been used to characterize or compare the aging process of a component. This definition deals with random variable truncated above some t, i.e. the support of the random variable is taken to be (0, t). We outline some common methods for past residual lifetime distributions with the aim to provide some insights on general construction mechanisms. Some applications are given to provide the readers a possible source of ideas to draw upon. Applications of past residual lifetime distributions in reliability, survival analysis and mortality studies are briefly discussed.
    VL  - 4
    IS  - 3
    ER  - 

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Author Information
  • College of applied Medical Sciences - Khamis Mushait

  • College of Nursing – Khamis Mushait, King Khalid University, Kingdome of Saudi Arabia

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