On Clarification to the Previously Published Research Articles

Zubair Ahmad; Zawar Hussain

doi:doi:10.11648/j.ijtam.20170305.11

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On Clarification to the Previously Published Research Articles

Zubair Ahmad, Zawar Hussain

Published in International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 5)

Received: 5 June 2017 Accepted: 7 July 2017 Published: 24 October 2017

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Abstract

In the recent literature, attempts have been made to propose new statistical distributions for modeling real phenomena of nature by adding one or more additional shape parameter (s) to the distribution of baseline random variable. The major contribution of these distributions are to obtain monotonic and non-monotonic shaped failure rates. This short article, offers a clarification to the research articles proposed by Al-Kadim and Boshi [4], El-Bassiouny et al. [9] and El-Desouky et al. [10]. A brief discussion on the properties of this general class is given. A future research motivation on this subject is also provided.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 5)
DOI	10.11648/j.ijtam.20170305.11
Page(s)	158-162
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), 2017. Published by Science Publishing Group

Keywords

Monotonic Failure Rate Function, Non-Monotonic Failure Rate Function, T-X Family, Exponential-Type Lifetime Distributions

References

[1]	Ahmad, Z. and Iqbal, B. (2017). Generalized Flexible Weibull Extension Distribution. Circulation in Computer Science, Volume 2(4), 68-75. https:/doi.org/10.22632/css-2017-252-11.
[2]	Ahmad, Z. and Hussain, Z. (2017). New Extended Weibull Distribution. Circulation in Computer Science, Vol.2, No.6, pp: (14-19). https://doi.org/10.22632/ccs-2017-252-31.
[3]	Ahmad, Z. and Hussain, Z. (2017). Very Flexible Weibull Distribution. Mayfeb Journal of Mathematics. (Accepted).
[4]	Al-Kadim, K. A. and Boshi, M. A. (2013). Exponential Pareto Distribution. Mathematical Theory and Modeling, 3, 135-146.
[5]	Almalki, S. J. (2014). Modifications of the Weibull Distribution: A Review. Reliability Engineering and System Safety, 124, 32 55. http://dx.doi.org/10.1016/j.ress.2013.11.010
[6]	Alzaghal, A., Lee, C. and Famoye, F. (2013). Exponentiated T-X family of distributions with some applications. International Journal of Probability and Statistics 2: 31–49.
[7]	Amini, M., Mir Mostafaee, S. M. T. K. and Ahmadi, J. (2012). Log-gamma-generated families of distributions. Statistics, iFirst. doi: 10.1008/02331888.2012.748775.
[8]	Bourguignon, M., Silva, R. B. and Cordeiro, G. M. (2014). The Weibull–G family of probability distributions. Journal of Data Science 12: 53–68.
[9]	El-Bassiouny, A. H. Abdo, N. F. and Shahen, H. S. (2015) Exponential Lomax Distribution. International Journal of Computer Application, 13, 24-29.
[10]	El-Desouky, B. S., Mustafa, A. and Al-Garash, S. (2016). The Exponential Flexible Weibull Extension Distribution. arXiv preprintar, arXiv: 1605.08152.
[11]	Eugene, N., Lee, C. and Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics–Theory and Methods 31: 497–512.
[12]	Gupta, R. D. and Kundu, D. (2001). Exponentiated exponential family: an alternative to gamma and Weibull distributions. Biometrical journal, 43(1), 117-130.
[13]	Gurvich, M. R., Dibenedetto, A. T. and Ranade, S. V. (1997). A new statistical distribution for characterizing the random strength of brittle materials. Journal of Materials Science, 32(10), 2559-2564.
[14]	Merovci, F. (2013). Transmuted exponentiated exponential distribution. Mathematical Sciences and Applications E-Notes, 1(2).
[15]	Pham, H. and Lai, C. D. (2007). On Recent Generalizations of the Weibull Distribution. IEEE Transactions on Reliability, 56, 454-458.
[16]	Ristić, M. M. and Balakrishnan, N. (2012). The gamma-exponentiated exponential distribution. Journal of Statistical Computation and Simulation, 82(8), 1191-1206.
[17]	Torabi, H. and Montazari, N. H. (2012). The gamma-uniform distribution and its application. Kybernetika 48: 16–30.
[18]	Torabi, H. and Montazari, N. H. (2014). The logistic-uniform distribution and its application. Communications in Statistics–Simulation and Computation 43: 2551–2569.
[19]	Zografos, K. and Balakrishnan, N. (2009). On families of beta- and generalized gamma-generated distributions and associated inference. Statistical Methodology 6: 344–362.

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Zubair Ahmad, Zawar Hussain. (2017). On Clarification to the Previously Published Research Articles. International Journal of Theoretical and Applied Mathematics, 3(5), 158-162. https://doi.org/10.11648/j.ijtam.20170305.11

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Zubair Ahmad; Zawar Hussain. On Clarification to the Previously Published Research Articles. Int. J. Theor. Appl. Math. 2017, 3(5), 158-162. doi: 10.11648/j.ijtam.20170305.11

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Zubair Ahmad, Zawar Hussain. On Clarification to the Previously Published Research Articles. Int J Theor Appl Math. 2017;3(5):158-162. doi: 10.11648/j.ijtam.20170305.11

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@article{10.11648/j.ijtam.20170305.11,
  author = {Zubair Ahmad and Zawar Hussain},
  title = {On Clarification to the Previously Published Research Articles},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {3},
  number = {5},
  pages = {158-162},
  doi = {10.11648/j.ijtam.20170305.11},
  url = {https://doi.org/10.11648/j.ijtam.20170305.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20170305.11},
  abstract = {In the recent literature, attempts have been made to propose new statistical distributions for modeling real phenomena of nature by adding one or more additional shape parameter (s) to the distribution of baseline random variable. The major contribution of these distributions are to obtain monotonic and non-monotonic shaped failure rates. This short article, offers a clarification to the research articles proposed by Al-Kadim and Boshi [4], El-Bassiouny et al. [9] and El-Desouky et al. [10]. A brief discussion on the properties of this general class is given. A future research motivation on this subject is also provided.},
 year = {2017}
}

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TY  - JOUR
T1  - On Clarification to the Previously Published Research Articles
AU  - Zubair Ahmad
AU  - Zawar Hussain
Y1  - 2017/10/24
PY  - 2017
N1  - https://doi.org/10.11648/j.ijtam.20170305.11
DO  - 10.11648/j.ijtam.20170305.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 158
EP  - 162
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20170305.11
AB  - In the recent literature, attempts have been made to propose new statistical distributions for modeling real phenomena of nature by adding one or more additional shape parameter (s) to the distribution of baseline random variable. The major contribution of these distributions are to obtain monotonic and non-monotonic shaped failure rates. This short article, offers a clarification to the research articles proposed by Al-Kadim and Boshi [4], El-Bassiouny et al. [9] and El-Desouky et al. [10]. A brief discussion on the properties of this general class is given. A future research motivation on this subject is also provided.
VL  - 3
IS  - 5
ER  -

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Author Information

Zubair Ahmad

Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
Zawar Hussain

Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan

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Zubair Ahmad, Zawar Hussain. (2017). On Clarification to the Previously Published Research Articles. International Journal of Theoretical and Applied Mathematics, 3(5), 158-162. https://doi.org/10.11648/j.ijtam.20170305.11

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ACS Style

Zubair Ahmad; Zawar Hussain. On Clarification to the Previously Published Research Articles. Int. J. Theor. Appl. Math. 2017, 3(5), 158-162. doi: 10.11648/j.ijtam.20170305.11

Copy | Download

AMA Style

Zubair Ahmad, Zawar Hussain. On Clarification to the Previously Published Research Articles. Int J Theor Appl Math. 2017;3(5):158-162. doi: 10.11648/j.ijtam.20170305.11

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@article{10.11648/j.ijtam.20170305.11,
  author = {Zubair Ahmad and Zawar Hussain},
  title = {On Clarification to the Previously Published Research Articles},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {3},
  number = {5},
  pages = {158-162},
  doi = {10.11648/j.ijtam.20170305.11},
  url = {https://doi.org/10.11648/j.ijtam.20170305.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20170305.11},
  abstract = {In the recent literature, attempts have been made to propose new statistical distributions for modeling real phenomena of nature by adding one or more additional shape parameter (s) to the distribution of baseline random variable. The major contribution of these distributions are to obtain monotonic and non-monotonic shaped failure rates. This short article, offers a clarification to the research articles proposed by Al-Kadim and Boshi [4], El-Bassiouny et al. [9] and El-Desouky et al. [10]. A brief discussion on the properties of this general class is given. A future research motivation on this subject is also provided.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - On Clarification to the Previously Published Research Articles
AU  - Zubair Ahmad
AU  - Zawar Hussain
Y1  - 2017/10/24
PY  - 2017
N1  - https://doi.org/10.11648/j.ijtam.20170305.11
DO  - 10.11648/j.ijtam.20170305.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 158
EP  - 162
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20170305.11
AB  - In the recent literature, attempts have been made to propose new statistical distributions for modeling real phenomena of nature by adding one or more additional shape parameter (s) to the distribution of baseline random variable. The major contribution of these distributions are to obtain monotonic and non-monotonic shaped failure rates. This short article, offers a clarification to the research articles proposed by Al-Kadim and Boshi [4], El-Bassiouny et al. [9] and El-Desouky et al. [10]. A brief discussion on the properties of this general class is given. A future research motivation on this subject is also provided.
VL  - 3
IS  - 5
ER  -

Copy | Download