Entropy for Past Residual Life Time Distributions

Arif Habib; Meshiel Alalyani

doi:doi:10.11648/j.ajtas.20150403.17

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Entropy for Past Residual Life Time Distributions

Arif Habib, Meshiel Alalyani

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 3)

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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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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TY  - JOUR
T1  - Entropy for Past Residual Life Time Distributions
AU  - Arif Habib
AU  - Meshiel Alalyani
Y1  - 2015/04/21
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150403.17
DO  - 10.11648/j.ajtas.20150403.17
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  - 118
EP  - 124
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150403.17
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

Arif Habib

College of applied Medical Sciences - Khamis Mushait
Meshiel Alalyani

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

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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Entropy for Past Residual Life Time Distributions
AU  - Arif Habib
AU  - Meshiel Alalyani
Y1  - 2015/04/21
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150403.17
DO  - 10.11648/j.ajtas.20150403.17
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  - 118
EP  - 124
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150403.17
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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