Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics

M. M. Mohie El-Din; A. Sadek; Marwa M. Mohie El-Din; A. M. Sharawy

doi:doi:10.11648/j.ajtas.20170603.11

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Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics

M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy

Published in American Journal of Theoretical and Applied Statistics (Volume 6, Issue 3)

Received: 4 March 2017 Accepted: 20 March 2017 Published: 11 April 2017

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Abstract

In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.

Published in	American Journal of Theoretical and Applied Statistics (Volume 6, Issue 3)
DOI	10.11648/j.ajtas.20170603.11
Page(s)	129-140
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), 2024. Published by Science Publishing Group

Keywords

Characterization, General Progressively Type-II Right Censored, Linear Failure Rate, Order Statistics, Recurrence Relations, Single and Product Moments

References

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[2]	Abd El-Hamid, A. H. and AL-Hussaini, E. K. Inference and optimal design based on step-partially accelerated life tests for the generalized Pareto distribution under progressive Type-I censoring. Communications in Statistics- Simulation and Computation, 2015; 44:1750-1769.
[3]	Aggarwala, R. and Balakrishnan, N. Recurrence relations for single and product moments of progressive Type-II right censored order statistics from exponential and truncated exponential distributions. Ann. Inst. Statist. Math., 1996; 4:757-771.
[4]	Athar, H. Akhterand, Z. and Saran, J. Moments of progressive Type-II right censored order statistics from Lindley distribution. Statist. Research Letters, 2014; 3:1-6.
[5]	Bain, L. J. Analysis for the Linear Failure-Rate Life-Testing Distribution. Technometrics, 1974; 16:551-559.
[6]	Balakrishnan, N., Cramer, E., Kamps, U., Schenk, N. Progressive Type II censored order statistics from exponential distributions. Statistics, 2001; 35:537-556.
[7]	Balakrishnan, N. and Sandhu R. A. Best linear unbiased and maximum likelihood estimation for exponential distributions based on general progressive Type-II censored samples. Sankhya, 58, Series B., 1996; 1:1-9.
[8]	Davis, H. T., Feldstein, M. L. The generalized Pareto law as a model for progressively censored survival data. Biometrika, 1979; 66:299-306.
[9]	Jagdish Saran and Narinder Pushkarna. Derived moments of progressive Type-II right censored order statistics from a general class of doubly truncated continuous distributions. J. of Statistical Theory and Applications, 2014; 13:162-174.
[10]	Hwang, J. S. and Lin, G. D. Extensions of Muntz-Szasz theorem and applications. Analysis, 1984; 4:143-160.
[11]	Mohie El-Din, M. M., Amein, M. M. and Hafez, E. H. Statistical inference and characterizations from independent and identical Exponential-Bernoulli mixture distribution. Advanced Research in Statistics and Probability, Issue, 2011; 3:15-31.
[12]	Mohie El-Din, M. M. and Kotb, M. S. Recurrence relations for single and product moments of generalized order statistics for modified Burr XII-geometric distribution and characterization. J. of Advanced Research Statistics and Probability, 2011; 1:36-46.
[13]	Mokhlis, N. A., Abd El-Aty, Y and Marwa M. Mohie El-Din. Recurrence relations for moments of GOS from Marshall-Olkin-Extended Burr XII distribution. international J. of math. and computation, 2010; 8:127-136.

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APA Style

M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy. (2017). Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. American Journal of Theoretical and Applied Statistics, 6(3), 129-140. https://doi.org/10.11648/j.ajtas.20170603.11

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ACS Style

M. M. Mohie El-Din; A. Sadek; Marwa M. Mohie El-Din; A. M. Sharawy. Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. Am. J. Theor. Appl. Stat. 2017, 6(3), 129-140. doi: 10.11648/j.ajtas.20170603.11

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AMA Style

M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy. Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. Am J Theor Appl Stat. 2017;6(3):129-140. doi: 10.11648/j.ajtas.20170603.11

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@article{10.11648/j.ajtas.20170603.11,
  author = {M. M. Mohie El-Din and A. Sadek and Marwa M. Mohie El-Din and A. M. Sharawy},
  title = {Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {6},
  number = {3},
  pages = {129-140},
  doi = {10.11648/j.ajtas.20170603.11},
  url = {https://doi.org/10.11648/j.ajtas.20170603.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20170603.11},
  abstract = {In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.},
 year = {2017}
}

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TY  - JOUR
T1  - Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics
AU  - M. M. Mohie El-Din
AU  - A. Sadek
AU  - Marwa M. Mohie El-Din
AU  - A. M. Sharawy
Y1  - 2017/04/11
PY  - 2017
N1  - https://doi.org/10.11648/j.ajtas.20170603.11
DO  - 10.11648/j.ajtas.20170603.11
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  - 129
EP  - 140
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20170603.11
AB  - In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.
VL  - 6
IS  - 3
ER  -

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Author Information

M. M. Mohie El-Din

Department of Mathematics, Faculty of Science (Men), Al-Azhar University, Cairo, Egypt
A. Sadek

Department of Mathematics, Faculty of Science (Men), Al-Azhar University, Cairo, Egypt
Marwa M. Mohie El-Din

Department of Mathematics, Faculty of Engineering, Egyptian Russian University, Cairo, Egypt
A. M. Sharawy

Department of Mathematics, Faculty of Engineering, Egyptian Russian University, Cairo, Egypt

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Plain Text BibTeX RIS

APA Style

M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy. (2017). Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. American Journal of Theoretical and Applied Statistics, 6(3), 129-140. https://doi.org/10.11648/j.ajtas.20170603.11

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ACS Style

M. M. Mohie El-Din; A. Sadek; Marwa M. Mohie El-Din; A. M. Sharawy. Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. Am. J. Theor. Appl. Stat. 2017, 6(3), 129-140. doi: 10.11648/j.ajtas.20170603.11

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AMA Style

M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy. Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics. Am J Theor Appl Stat. 2017;6(3):129-140. doi: 10.11648/j.ajtas.20170603.11

Copy | Download

@article{10.11648/j.ajtas.20170603.11,
  author = {M. M. Mohie El-Din and A. Sadek and Marwa M. Mohie El-Din and A. M. Sharawy},
  title = {Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {6},
  number = {3},
  pages = {129-140},
  doi = {10.11648/j.ajtas.20170603.11},
  url = {https://doi.org/10.11648/j.ajtas.20170603.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20170603.11},
  abstract = {In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics
AU  - M. M. Mohie El-Din
AU  - A. Sadek
AU  - Marwa M. Mohie El-Din
AU  - A. M. Sharawy
Y1  - 2017/04/11
PY  - 2017
N1  - https://doi.org/10.11648/j.ajtas.20170603.11
DO  - 10.11648/j.ajtas.20170603.11
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  - 129
EP  - 140
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20170603.11
AB  - In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics. Further, the results are specialized to the progressively Type-II right censored order statistics.
VL  - 6
IS  - 3
ER  -

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